sheik_bahae_1991

M. Sheik-Bahae, D. C. Hutchings, D. J. Hagan and E. W. Van Stryland, “Dispersion of bound electronic nonlinear refraction in solids”, IEEE J. Quantum Electron. 27, 1296-1309 (1991)

Source record · Catalogue · Review register

DOI: 10.1109/3.89946

Source kind: compilation

Recorded technique: Theory and measurement. Theory: a two-parabolic-band model of the nondegenerate nonlinear absorption Delta alpha(omega1; omega2) (two-photon absorption, electronic Raman, linear and quadratic ac Stark effects; ‘dressed’ Volkov-type states, S-matrix, dipole A.p interaction, both beams linearly polarized in the same direction), and n2 by a nonlinear Kramers-Kronig transform of it, the infrared divergent term subtracted (pp. 1297-1304). Measurement: the authors’ own single-beam Z-scan of n2 in semiconductors and some wide-gap crystals at 1.06 and 0.53 um (Nd:YAG) and of Ge at 10.6 um with a picosecond CO2 laser (pp. 1297, 1304-1305); pulse durations, beam parameters and uncertainties are not given in this paper (Refs. [1], [10]). Table III adds the n2 of Adair et al. [6] (three-wave mixing, 1.06 um), Ross et al. [39] (silica, 249 nm) and LaGasse et al. [40] (AlGaAs, femtosecond time-division interferometry).

Materials in structured entries: AgCl, Al2O3, BaF2, CaCO3, CaF2, CdS, GaAs, Ge, KBr, KCl, KDP, KF, KTP, LiF, MgF2, MgO, NaBr, NaCl, SiO2, SiO2_quartz, SrF2, ZnO, ZnS, ZnSe, ZnTe

Dataset quantities: band_gap, nonlinear_index_field, refractive_index

Contents: 125 datasets; 3 formulas.

Curation notes

Journal pages 1296-1309 = PDF pages 1-14 (journal page = 1295 + PDF page). The title printed on the paper is ‘Dispersion of Bound Electronic Nonlinear Refraction in Solids’ (the library’s metadata drops ‘ic’). Identity checked against the first page.

WHAT IS HERE. Table III (tbl_1be7b7bfe319, p. 1305; 40 rows; checked cell by cell against the image): material, wavelength (um), band gap (eV), linear index, n2(Exp.), n2(Pred.) and n2(Pred.)* in units of 1e-13 esu. Extracted by tools/extract/sheik_bahae_1991.py: per registered material the measured n2 (own: primary; Adair’s and Ross’s: reproduced), the two predicted columns (check), the gap (band_gap, assumed input, check) and the index (refractive_index, assumed input, check). Tables I and II (the nondegenerate absorption F2(x1; x2) and the degenerate dispersion G2(x) by contribution) are recorded as formulas with Eqs. (24)-(26), (28) and (44).

DEFINITIONS (p. 1296, Eq. 1): Delta n(omega) = gamma(omega) I_omega = n2(omega) |E_omega|^2 / 2, ‘with I_omega and E_omega being the irradiance and electric field at frequency omega’; ‘gamma and n2 are related by n2 (esu) = c n0 gamma / 40 pi (SI)’. So Table III’s n2 is the esu n2 of n = n0 + n2 <E^2> (<E^2> = |E|^2 / 2, the field amplitude |E|), as DeSalvo et al. (desalvo_1996) and Adair et al. (adair_1989) define it: nonlinear_index_field. beta: ‘beta(omega) = 2 hbar omega Delta W I_1^-2’ (p. 1300), the degenerate 2PA coefficient; no beta is tabulated here. n2 is ‘the bound electronic nonlinear refractive index’; pulse durations are not stated for the Z-scan values (picosecond: the DFWM check ‘time resolution limited by the 30 ps pulsewidth’, p. 1297), so part = ‘unknown’ for the own values. Adair’s values keep that record’s part (electronic_vibrational: nanosecond three-wave mixing). The 1994 paper of the same group (sheik_bahae_1994, p. 251) states that the interference factor of two between degenerate and nondegenerate index changes ‘was ignored in calculating the n2 coefficient’ here, and DeSalvo et al. (desalvo_1996, p. 1328) halve K’ to 7.33e-9 for the same reason: the constant K’, not the measured values, is affected.

PROVENANCE OF THE MEASURED COLUMN (the table is printed in four blocks separated by blank lines, lost in the extraction; text p. 1304, Fig. 5 legend). (1) Rows 1-14, Ge to BaF2 at 0.53 um: the authors’ own Z-scan values (‘The values for semiconductors (squares) were obtained from Z-scan measurements at 1.06 and 0.53 um [1], [10] ... Included in these data are some new measurements’, p. 1304; Ge at 10.6 um ‘which we measured with a picosecond CO2 laser’, p. 1305). (2) Rows 15-21, AlGaAs: LaGasse et al. [40], M. J. LaGasse, K. K. Anderson, C. A. Wang, H. A. Haus and J. G. Fujimoto, Appl. Phys. Lett. 56, 417-419 (1990) (not in the library). (3) Rows 22-39, CdS at 1.06 um to LiF: Adair et al. [6] = adair_1989, each value Adair’s Table IV value to two figures (checked material by material; see the datasets). (4) Row 40, SiO2 at 0.249 um: Ross et al. [39] (not in the library; milam_1998 and dragomir_2002 also reproduce it).

TWO ROWS THAT ARE NOT WHAT THEY SAY. ‘KDP’ (0.7; 6.95 eV, n0 1.60) and ‘KH_2PO_4’ (0.8; 7.12 eV, n0 1.50) are one crystal, KDP = KH2PO4: Adair’s KDP (o) 0.72 and (e) 0.78. Both are recorded under KDP (datasets ..._KDP and ..._KH2PO4). The 1.06-um ‘SiO_2’ row (1.1) is Adair’s crystal quartz (o) 1.12, not his fused silica 0.85: recorded as SiO2_quartz. ‘CaCo_3’ is printed so (calcite, CaCO3). These are the paper’s labels, not errata: no value is changed.

ROWS NOT EXTRACTED (materials not registered; values as printed, x 1e-13 esu: wavelength um, gap eV, index, Exp., Pred.): CdTe 1.06, 1.44, 2.84, -2000, -2100; CdSe 1.06, 1.74, 2.56, -90, 180 (own; ‘excluding CdSe at 1.06 um whose n2 could not be measured with any degree of accuracy because of the 2PA-induced band-filling refractive nonlinearity’, p. 1304); CdS0.5Se0.5 1.06, 1.93, 2.45, 1000, 720; SBN (composition not stated) 1.06, 3.3, 2.4, 30, 51, Pred.* 29 (all own); AlGaAs (composition not stated; LaGasse) at 0.850, 0.840, 0.830, 0.825, 0.820, 0.815, 0.810 um, gap 1.57, index 3.30, Exp. -2000, -4000, -7000, -10000, -14000, -20000, -26000, Pred. -2800, -3300, -3900, -4300, -4900, -5900, -7300. jansonas_2022 reproduces the SBN value as ‘SBN-61 (o)’ (0.524e-14 cm2/W, = 40 pi x 30e-13 / (c x 2.4)); this paper names neither the composition nor the axis.

TEXT VALUES (p. 1305): n2 ‘from 2.5 x 10^-14 esu for a material such as MgF2 at 1.06 um to -2.6 x 10^-9 esu for AlGaAs at 810 nm [40] and 2.7 x 10^-10 esu for Ge at 10.6 um’: Table III’s 0.25, -26000 and 2700 (x 1e-13), not separate data. ‘For the semiconductor measurements at 1.06 and 0.53 um (excluding CdSe ...), we find an average difference of less than 30% between the measured and predicted values. Including the measurements for dielectrics, the average difference was less than a factor of 2 ... the measured n2 for these wide-gap solids are consistently smaller than the predicted values’ (p. 1304): a comparison, not an uncertainty. The paper states no uncertainty for any value.

CONSTANTS (p. 1300, 1304). K = 1940 (Eq. 26, the two-band theory; beta in cm/GW, E_g and E_p in eV), K = 3100 (the fit to the 2PA data of Ref. [11]), K = 5200 (Weiler’s four-band calculation); E_p = 21 eV ‘for most direct gap semiconductors’. K’ = 1.50e-8 (from K = 3100), 0.94e-8 (from K = 1940), 0.86e-8 (fitted to the wide-gap n2, the dashed line of Fig. 5(a) and the * column), n2 in esu with E_g and E_p in eV. Check: Eq. (26) with CODATA Gaussian constants gives K = 1943 cm/GW eV^(5/2); K’ = K hbar c^2 / (40 pi) (from Eqs. 40, 44 and the esu relation of Eq. 1) gives 1.459e-8 for K = 3100 and 0.913e-8 for K = 1940, 2.7-3.0 % below the printed 1.50e-8 and 0.94e-8 (same ratio for both).

FIGURES (not digitised). Fig. 1: scaled n2 n0 E_g^4 / K’ against hbar omega / E_g from the PRL [2]; Fig. 2: scaled beta against E_g (log-log, slope -3) from [9]; Fig. 3: F2 spectra for hbar omega2 / E_g = 0.4, 0.6; Fig. 4: the contributions to G2; Fig. 5(a), (b): the Table III n2 scaled, with G2 and the K’ = 0.86e-8 curve; Fig. 6: log-log near the edge, slope -3/2; Fig. 7: n2 scaled by n0 and G2 against E_g (slope -4); Fig. 8: the switching figure of merit |2 pi gamma / beta lambda| (Eq. 47) with semiconductor data.

REPRODUCTIONS OF THIS PAPER ELSEWHERE: jansonas_2022 (SBN, ZnS, ZnSe at 1.06 um, converted to cm2/W with the table’s n0: 0.524, 0.84, 2.87 x 1e-14, all agree); patwardhan_2021 (band gaps of ZnSe 2.58, Al2O3 7.3, CaF2 9.92, MgF2 11.27 and fused silica 7.8 eV agree with Table III; its ZnS 3.2 eV is not this paper’s 3.54, so comes from its other references; its theory column uses this paper’s wide-gap K’ = 0.86e-8).

Recorded bibliographic identity status: VALIDATED_WITH_WARNINGS. This concerns identification of the source; it does not establish the scientific correctness of its contents.

Datasets

sheik_bahae_1991/n2_Ge

{
  "id": "n2_Ge",
  "material": "Ge",
  "file": "Ge/sheik_bahae_1991__n2_Ge.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "primary",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "unknown",
    "coefficient": "self",
    "technique": "Z-scan (picosecond CO2 laser)"
  }
}

Table III, ‘n2(Exp.) x 10^-13 (esu)’, rows 1 (p. 1305), the first block of the table: the authors’ own Z-scan measurements (‘The values for semiconductors (squares) were obtained from Z-scan measurements at 1.06 and 0.53 um [1], [10] ... Included in these data are some new measurements’, p. 1304); which values are new and which were published in [1], [10] (not in the library) is not said. Pulse duration not stated in this paper (picosecond; the DFWM check used 30 ps, p. 1297); part unknown. The paper gives no uncertainty. The wavelength column prints 0.53 for 532 nm. Ge at 10.6 um, ‘which we measured with a picosecond CO2 laser’ (p. 1305); the gap is the direct gap (dagger), not the indirect absorption edge.

sheik_bahae_1991/n2_pred_Ge

{
  "id": "n2_pred_Ge",
  "material": "Ge",
  "file": "Ge/sheik_bahae_1991__n2_pred_Ge.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.) x 10^-13 (esu)’, rows 1 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 1.50e-8 (from K = 3100, the fit to semiconductor 2PA; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n0_Ge

{
  "id": "n0_Ge",
  "material": "Ge",
  "file": "Ge/sheik_bahae_1991__n0_Ge.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "refractive_index",
  "abscissa_unit": "um",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "assumed": true,
    "index_medium": "not stated"
  }
}

Table III, ‘Refr. Index’, rows 1 (p. 1305): the linear index used in the calculation, ‘from [41], [42]’ (table note), printed to 2-3 digits; not measured here. The wavelength column prints 0.53 for the Nd:YAG second harmonic (532 nm).

sheik_bahae_1991/eg_Ge

{
  "id": "eg_Ge",
  "material": "Ge",
  "file": "Ge/sheik_bahae_1991__eg_Ge.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "band_gap",
  "unit": "eV",
  "abscissa": "none",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "kind": "assumed",
    "assumed": true
  }
}

Table III, ‘Bandgap (eV)’, row 1 (p. 1305): a parameter of the calculation ‘from [41], [42]’ (table note), not measured here. Printed ‘0.87’ with a dagger: ‘where we have used the direct gap rather than the fundamental absorption edge’ (table note); ‘for Ge, as expected, it is necessary to use the direct bandgap rather than the smaller indirect gap’ (p. 1307).

sheik_bahae_1991/n2_GaAs

{
  "id": "n2_GaAs",
  "material": "GaAs",
  "file": "GaAs/sheik_bahae_1991__n2_GaAs.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "primary",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "unknown",
    "coefficient": "self",
    "technique": "Z-scan"
  }
}

Table III, ‘n2(Exp.) x 10^-13 (esu)’, rows 2 (p. 1305), the first block of the table: the authors’ own Z-scan measurements (‘The values for semiconductors (squares) were obtained from Z-scan measurements at 1.06 and 0.53 um [1], [10] ... Included in these data are some new measurements’, p. 1304); which values are new and which were published in [1], [10] (not in the library) is not said. Pulse duration not stated in this paper (picosecond; the DFWM check used 30 ps, p. 1297); part unknown. The paper gives no uncertainty. The wavelength column prints 0.53 for 532 nm.

sheik_bahae_1991/n2_pred_GaAs

{
  "id": "n2_pred_GaAs",
  "material": "GaAs",
  "file": "GaAs/sheik_bahae_1991__n2_pred_GaAs.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.) x 10^-13 (esu)’, rows 2 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 1.50e-8 (from K = 3100, the fit to semiconductor 2PA; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n0_GaAs

{
  "id": "n0_GaAs",
  "material": "GaAs",
  "file": "GaAs/sheik_bahae_1991__n0_GaAs.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "refractive_index",
  "abscissa_unit": "um",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "assumed": true,
    "index_medium": "not stated"
  }
}

Table III, ‘Refr. Index’, rows 2 (p. 1305): the linear index used in the calculation, ‘from [41], [42]’ (table note), printed to 2-3 digits; not measured here. The wavelength column prints 0.53 for the Nd:YAG second harmonic (532 nm).

sheik_bahae_1991/eg_GaAs

{
  "id": "eg_GaAs",
  "material": "GaAs",
  "file": "GaAs/sheik_bahae_1991__eg_GaAs.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "band_gap",
  "unit": "eV",
  "abscissa": "none",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "kind": "assumed",
    "assumed": true
  }
}

Table III, ‘Bandgap (eV)’, row 2 (p. 1305): a parameter of the calculation ‘from [41], [42]’ (table note), not measured here. For the wide-gap solids ‘the absorption edge has been used to determine the bandgap. The band structure for these materials is not well known, and the direct gap may well be larger than this’ (p. 1304).

sheik_bahae_1991/n2_ZnTe

{
  "id": "n2_ZnTe",
  "material": "ZnTe",
  "file": "ZnTe/sheik_bahae_1991__n2_ZnTe.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "primary",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "unknown",
    "coefficient": "self",
    "technique": "Z-scan"
  }
}

Table III, ‘n2(Exp.) x 10^-13 (esu)’, rows 6 (p. 1305), the first block of the table: the authors’ own Z-scan measurements (‘The values for semiconductors (squares) were obtained from Z-scan measurements at 1.06 and 0.53 um [1], [10] ... Included in these data are some new measurements’, p. 1304); which values are new and which were published in [1], [10] (not in the library) is not said. Pulse duration not stated in this paper (picosecond; the DFWM check used 30 ps, p. 1297); part unknown. The paper gives no uncertainty. The wavelength column prints 0.53 for 532 nm.

sheik_bahae_1991/n2_pred_ZnTe

{
  "id": "n2_pred_ZnTe",
  "material": "ZnTe",
  "file": "ZnTe/sheik_bahae_1991__n2_pred_ZnTe.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.) x 10^-13 (esu)’, rows 6 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 1.50e-8 (from K = 3100, the fit to semiconductor 2PA; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n0_ZnTe

{
  "id": "n0_ZnTe",
  "material": "ZnTe",
  "file": "ZnTe/sheik_bahae_1991__n0_ZnTe.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "refractive_index",
  "abscissa_unit": "um",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "assumed": true,
    "index_medium": "not stated"
  }
}

Table III, ‘Refr. Index’, rows 6 (p. 1305): the linear index used in the calculation, ‘from [41], [42]’ (table note), printed to 2-3 digits; not measured here. The wavelength column prints 0.53 for the Nd:YAG second harmonic (532 nm).

sheik_bahae_1991/eg_ZnTe

{
  "id": "eg_ZnTe",
  "material": "ZnTe",
  "file": "ZnTe/sheik_bahae_1991__eg_ZnTe.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "band_gap",
  "unit": "eV",
  "abscissa": "none",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "kind": "assumed",
    "assumed": true
  }
}

Table III, ‘Bandgap (eV)’, row 6 (p. 1305): a parameter of the calculation ‘from [41], [42]’ (table note), not measured here. For the wide-gap solids ‘the absorption edge has been used to determine the bandgap. The band structure for these materials is not well known, and the direct gap may well be larger than this’ (p. 1304).

sheik_bahae_1991/n2_CdS

{
  "id": "n2_CdS",
  "material": "CdS",
  "file": "CdS/sheik_bahae_1991__n2_CdS.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "primary",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "unknown",
    "coefficient": "self",
    "technique": "Z-scan"
  }
}

Table III, ‘n2(Exp.) x 10^-13 (esu)’, rows 7 (p. 1305), the first block of the table: the authors’ own Z-scan measurements (‘The values for semiconductors (squares) were obtained from Z-scan measurements at 1.06 and 0.53 um [1], [10] ... Included in these data are some new measurements’, p. 1304); which values are new and which were published in [1], [10] (not in the library) is not said. Pulse duration not stated in this paper (picosecond; the DFWM check used 30 ps, p. 1297); part unknown. The paper gives no uncertainty. The wavelength column prints 0.53 for 532 nm. CdS at 0.53 um; the theory underestimates it (p. 1307: near-gap effects, excitons). The 1.06-um CdS row is Adair’s (n2_adair_CdS).

sheik_bahae_1991/n2_pred_CdS

{
  "id": "n2_pred_CdS",
  "material": "CdS",
  "file": "CdS/sheik_bahae_1991__n2_pred_CdS.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.) x 10^-13 (esu)’, rows 7, 22 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 1.50e-8 (from K = 3100, the fit to semiconductor 2PA; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n0_CdS

{
  "id": "n0_CdS",
  "material": "CdS",
  "file": "CdS/sheik_bahae_1991__n0_CdS.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "refractive_index",
  "abscissa_unit": "um",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "assumed": true,
    "index_medium": "not stated"
  }
}

Table III, ‘Refr. Index’, rows 7, 22 (p. 1305): the linear index used in the calculation, ‘from [41], [42]’ (table note), printed to 2-3 digits; not measured here. The wavelength column prints 0.53 for the Nd:YAG second harmonic (532 nm).

sheik_bahae_1991/eg_CdS

{
  "id": "eg_CdS",
  "material": "CdS",
  "file": "CdS/sheik_bahae_1991__eg_CdS.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "band_gap",
  "unit": "eV",
  "abscissa": "none",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "kind": "assumed",
    "assumed": true
  }
}

Table III, ‘Bandgap (eV)’, row 7 (p. 1305): a parameter of the calculation ‘from [41], [42]’ (table note), not measured here. For the wide-gap solids ‘the absorption edge has been used to determine the bandgap. The band structure for these materials is not well known, and the direct gap may well be larger than this’ (p. 1304). Printed on both CdS rows (0.53 and 1.06 um).

sheik_bahae_1991/n2_ZnSe

{
  "id": "n2_ZnSe",
  "material": "ZnSe",
  "file": "ZnSe/sheik_bahae_1991__n2_ZnSe.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "primary",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "unknown",
    "coefficient": "self",
    "technique": "Z-scan"
  }
}

Table III, ‘n2(Exp.) x 10^-13 (esu)’, rows 8, 9 (p. 1305), the first block of the table: the authors’ own Z-scan measurements (‘The values for semiconductors (squares) were obtained from Z-scan measurements at 1.06 and 0.53 um [1], [10] ... Included in these data are some new measurements’, p. 1304); which values are new and which were published in [1], [10] (not in the library) is not said. Pulse duration not stated in this paper (picosecond; the DFWM check used 30 ps, p. 1297); part unknown. The paper gives no uncertainty. The wavelength column prints 0.53 for 532 nm. ZnSe at 1.06 um (positive) and 0.53 um (negative): ‘although the measured values of n2 for ZnSe at 1.06 and 0.53 um have different signs, both measurements are consistent with the scaling law’ (p. 1305).

sheik_bahae_1991/n2_pred_ZnSe

{
  "id": "n2_pred_ZnSe",
  "material": "ZnSe",
  "file": "ZnSe/sheik_bahae_1991__n2_pred_ZnSe.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.) x 10^-13 (esu)’, rows 8, 9 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 1.50e-8 (from K = 3100, the fit to semiconductor 2PA; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n0_ZnSe

{
  "id": "n0_ZnSe",
  "material": "ZnSe",
  "file": "ZnSe/sheik_bahae_1991__n0_ZnSe.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "refractive_index",
  "abscissa_unit": "um",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "assumed": true,
    "index_medium": "not stated"
  }
}

Table III, ‘Refr. Index’, rows 8, 9 (p. 1305): the linear index used in the calculation, ‘from [41], [42]’ (table note), printed to 2-3 digits; not measured here. The wavelength column prints 0.53 for the Nd:YAG second harmonic (532 nm).

sheik_bahae_1991/eg_ZnSe

{
  "id": "eg_ZnSe",
  "material": "ZnSe",
  "file": "ZnSe/sheik_bahae_1991__eg_ZnSe.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "band_gap",
  "unit": "eV",
  "abscissa": "none",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "kind": "assumed",
    "assumed": true
  }
}

Table III, ‘Bandgap (eV)’, row 8 (p. 1305): a parameter of the calculation ‘from [41], [42]’ (table note), not measured here. For the wide-gap solids ‘the absorption edge has been used to determine the bandgap. The band structure for these materials is not well known, and the direct gap may well be larger than this’ (p. 1304). Printed on both rows (1.06 and 0.53 um).

sheik_bahae_1991/n2_ZnS

{
  "id": "n2_ZnS",
  "material": "ZnS",
  "file": "ZnS/sheik_bahae_1991__n2_ZnS.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "primary",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "unknown",
    "coefficient": "self",
    "technique": "Z-scan"
  }
}

Table III, ‘n2(Exp.) x 10^-13 (esu)’, rows 11 (p. 1305), the first block of the table: the authors’ own Z-scan measurements (‘The values for semiconductors (squares) were obtained from Z-scan measurements at 1.06 and 0.53 um [1], [10] ... Included in these data are some new measurements’, p. 1304); which values are new and which were published in [1], [10] (not in the library) is not said. Pulse duration not stated in this paper (picosecond; the DFWM check used 30 ps, p. 1297); part unknown. The paper gives no uncertainty. The wavelength column prints 0.53 for 532 nm.

sheik_bahae_1991/n2_pred_ZnS

{
  "id": "n2_pred_ZnS",
  "material": "ZnS",
  "file": "ZnS/sheik_bahae_1991__n2_pred_ZnS.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.) x 10^-13 (esu)’, rows 11 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 1.50e-8 (from K = 3100, the fit to semiconductor 2PA; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n0_ZnS

{
  "id": "n0_ZnS",
  "material": "ZnS",
  "file": "ZnS/sheik_bahae_1991__n0_ZnS.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "refractive_index",
  "abscissa_unit": "um",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "assumed": true,
    "index_medium": "not stated"
  }
}

Table III, ‘Refr. Index’, rows 11 (p. 1305): the linear index used in the calculation, ‘from [41], [42]’ (table note), printed to 2-3 digits; not measured here. The wavelength column prints 0.53 for the Nd:YAG second harmonic (532 nm).

sheik_bahae_1991/eg_ZnS

{
  "id": "eg_ZnS",
  "material": "ZnS",
  "file": "ZnS/sheik_bahae_1991__eg_ZnS.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "band_gap",
  "unit": "eV",
  "abscissa": "none",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "kind": "assumed",
    "assumed": true
  }
}

Table III, ‘Bandgap (eV)’, row 11 (p. 1305): a parameter of the calculation ‘from [41], [42]’ (table note), not measured here. For the wide-gap solids ‘the absorption edge has been used to determine the bandgap. The band structure for these materials is not well known, and the direct gap may well be larger than this’ (p. 1304).

sheik_bahae_1991/n2_KTP

{
  "id": "n2_KTP",
  "material": "KTP",
  "file": "KTP/sheik_bahae_1991__n2_KTP.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "primary",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "unknown",
    "coefficient": "self",
    "technique": "Z-scan"
  }
}

Table III, ‘n2(Exp.) x 10^-13 (esu)’, rows 12 (p. 1305), the first block of the table: the authors’ own Z-scan measurements (‘The values for semiconductors (squares) were obtained from Z-scan measurements at 1.06 and 0.53 um [1], [10] ... Included in these data are some new measurements’, p. 1304); which values are new and which were published in [1], [10] (not in the library) is not said. Pulse duration not stated in this paper (picosecond; the DFWM check used 30 ps, p. 1297); part unknown. The paper gives no uncertainty. The wavelength column prints 0.53 for 532 nm. Axis not stated.

sheik_bahae_1991/n2_pred_KTP

{
  "id": "n2_pred_KTP",
  "material": "KTP",
  "file": "KTP/sheik_bahae_1991__n2_pred_KTP.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.) x 10^-13 (esu)’, rows 12 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 1.50e-8 (from K = 3100, the fit to semiconductor 2PA; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n2_pred_wide_KTP

{
  "id": "n2_pred_wide_KTP",
  "material": "KTP",
  "file": "KTP/sheik_bahae_1991__n2_pred_wide_KTP.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.)* x 10^-13 (esu)’, rows 12 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 0.86e-8, fitted to the wide-gap solids (‘The column indicated by * uses a fit to the constant K’ for wide-gap materials rather than the fit to 2PA in semiconductors’, table note; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n0_KTP

{
  "id": "n0_KTP",
  "material": "KTP",
  "file": "KTP/sheik_bahae_1991__n0_KTP.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "refractive_index",
  "abscissa_unit": "um",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "assumed": true,
    "index_medium": "not stated"
  }
}

Table III, ‘Refr. Index’, rows 12 (p. 1305): the linear index used in the calculation, ‘from [41], [42]’ (table note), printed to 2-3 digits; not measured here. The wavelength column prints 0.53 for the Nd:YAG second harmonic (532 nm).

sheik_bahae_1991/eg_KTP

{
  "id": "eg_KTP",
  "material": "KTP",
  "file": "KTP/sheik_bahae_1991__eg_KTP.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "band_gap",
  "unit": "eV",
  "abscissa": "none",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "kind": "assumed",
    "assumed": true
  }
}

Table III, ‘Bandgap (eV)’, row 12 (p. 1305): a parameter of the calculation ‘from [41], [42]’ (table note), not measured here. For the wide-gap solids ‘the absorption edge has been used to determine the bandgap. The band structure for these materials is not well known, and the direct gap may well be larger than this’ (p. 1304).

sheik_bahae_1991/n2_BaF2

{
  "id": "n2_BaF2",
  "material": "BaF2",
  "file": "BaF2/sheik_bahae_1991__n2_BaF2.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "primary",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "unknown",
    "coefficient": "self",
    "technique": "Z-scan"
  }
}

Table III, ‘n2(Exp.) x 10^-13 (esu)’, rows 13, 14 (p. 1305), the first block of the table: the authors’ own Z-scan measurements (‘The values for semiconductors (squares) were obtained from Z-scan measurements at 1.06 and 0.53 um [1], [10] ... Included in these data are some new measurements’, p. 1304); which values are new and which were published in [1], [10] (not in the library) is not said. Pulse duration not stated in this paper (picosecond; the DFWM check used 30 ps, p. 1297); part unknown. The paper gives no uncertainty. The wavelength column prints 0.53 for 532 nm. BaF2 at 1.06 um prints 0.67, the same as Adair’s 0.67 (adair_1989); the table places it in the authors’ own block, and the text says ‘Our own measurements of several of the same materials studied in [6] show excellent absolute agreement’ (p. 1297). The 0.53 um value is theirs alone (Adair measured at 1.06 um only).

sheik_bahae_1991/n2_pred_BaF2

{
  "id": "n2_pred_BaF2",
  "material": "BaF2",
  "file": "BaF2/sheik_bahae_1991__n2_pred_BaF2.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.) x 10^-13 (esu)’, rows 13, 14 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 1.50e-8 (from K = 3100, the fit to semiconductor 2PA; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n2_pred_wide_BaF2

{
  "id": "n2_pred_wide_BaF2",
  "material": "BaF2",
  "file": "BaF2/sheik_bahae_1991__n2_pred_wide_BaF2.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.)* x 10^-13 (esu)’, rows 13, 14 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 0.86e-8, fitted to the wide-gap solids (‘The column indicated by * uses a fit to the constant K’ for wide-gap materials rather than the fit to 2PA in semiconductors’, table note; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n0_BaF2

{
  "id": "n0_BaF2",
  "material": "BaF2",
  "file": "BaF2/sheik_bahae_1991__n0_BaF2.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "refractive_index",
  "abscissa_unit": "um",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "assumed": true,
    "index_medium": "not stated"
  }
}

Table III, ‘Refr. Index’, rows 13, 14 (p. 1305): the linear index used in the calculation, ‘from [41], [42]’ (table note), printed to 2-3 digits; not measured here. The wavelength column prints 0.53 for the Nd:YAG second harmonic (532 nm).

sheik_bahae_1991/eg_BaF2

{
  "id": "eg_BaF2",
  "material": "BaF2",
  "file": "BaF2/sheik_bahae_1991__eg_BaF2.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "band_gap",
  "unit": "eV",
  "abscissa": "none",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "kind": "assumed",
    "assumed": true
  }
}

Table III, ‘Bandgap (eV)’, row 13 (p. 1305): a parameter of the calculation ‘from [41], [42]’ (table note), not measured here. For the wide-gap solids ‘the absorption edge has been used to determine the bandgap. The band structure for these materials is not well known, and the direct gap may well be larger than this’ (p. 1304). Printed on both rows (1.06 and 0.53 um).

sheik_bahae_1991/n2_adair_CdS

{
  "id": "n2_adair_CdS",
  "material": "CdS",
  "file": "CdS/sheik_bahae_1991__n2_adair_CdS.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "reproduced",
  "reproduced_from": [
    "adair_1989"
  ],
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic_vibrational",
    "coefficient": "self",
    "technique": "nearly degenerate three-wave mixing",
    "polarization": "linear"
  }
}

Table III, ‘n2(Exp.) x 10^-13 (esu)’, row 22 (p. 1305), the third block of the table (Fig. 5(a) solid circles): Adair et al.’s nearly degenerate three-wave mixing at 1.06 um [6], rounded to two figures: Adair’s CdS (e) 283.0 (his (o) is 304.0) (adair_1989, Table IV). Axis not stated here.

sheik_bahae_1991/n2_adair_AgCl

{
  "id": "n2_adair_AgCl",
  "material": "AgCl",
  "file": "AgCl/sheik_bahae_1991__n2_adair_AgCl.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "reproduced",
  "reproduced_from": [
    "adair_1989"
  ],
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic_vibrational",
    "coefficient": "self",
    "technique": "nearly degenerate three-wave mixing",
    "polarization": "linear"
  }
}

Table III, ‘n2(Exp.) x 10^-13 (esu)’, row 23 (p. 1305), the third block of the table (Fig. 5(a) solid circles): Adair et al.’s nearly degenerate three-wave mixing at 1.06 um [6], rounded to two figures: Adair’s 23.3 (adair_1989, Table IV). Axis not stated here.

sheik_bahae_1991/n2_pred_AgCl

{
  "id": "n2_pred_AgCl",
  "material": "AgCl",
  "file": "AgCl/sheik_bahae_1991__n2_pred_AgCl.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.) x 10^-13 (esu)’, rows 23 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 1.50e-8 (from K = 3100, the fit to semiconductor 2PA; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n2_pred_wide_AgCl

{
  "id": "n2_pred_wide_AgCl",
  "material": "AgCl",
  "file": "AgCl/sheik_bahae_1991__n2_pred_wide_AgCl.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.)* x 10^-13 (esu)’, rows 23 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 0.86e-8, fitted to the wide-gap solids (‘The column indicated by * uses a fit to the constant K’ for wide-gap materials rather than the fit to 2PA in semiconductors’, table note; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n0_AgCl

{
  "id": "n0_AgCl",
  "material": "AgCl",
  "file": "AgCl/sheik_bahae_1991__n0_AgCl.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "refractive_index",
  "abscissa_unit": "um",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "assumed": true,
    "index_medium": "not stated"
  }
}

Table III, ‘Refr. Index’, rows 23 (p. 1305): the linear index used in the calculation, ‘from [41], [42]’ (table note), printed to 2-3 digits; not measured here. The wavelength column prints 0.53 for the Nd:YAG second harmonic (532 nm).

sheik_bahae_1991/eg_AgCl

{
  "id": "eg_AgCl",
  "material": "AgCl",
  "file": "AgCl/sheik_bahae_1991__eg_AgCl.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "band_gap",
  "unit": "eV",
  "abscissa": "none",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "kind": "assumed",
    "assumed": true
  }
}

Table III, ‘Bandgap (eV)’, row 23 (p. 1305): a parameter of the calculation ‘from [41], [42]’ (table note), not measured here. For the wide-gap solids ‘the absorption edge has been used to determine the bandgap. The band structure for these materials is not well known, and the direct gap may well be larger than this’ (p. 1304).

sheik_bahae_1991/n2_adair_ZnO

{
  "id": "n2_adair_ZnO",
  "material": "ZnO",
  "file": "ZnO/sheik_bahae_1991__n2_adair_ZnO.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "reproduced",
  "reproduced_from": [
    "adair_1989"
  ],
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic_vibrational",
    "coefficient": "self",
    "technique": "nearly degenerate three-wave mixing",
    "polarization": "linear"
  }
}

Table III, ‘n2(Exp.) x 10^-13 (esu)’, row 24 (p. 1305), the third block of the table (Fig. 5(a) solid circles): Adair et al.’s nearly degenerate three-wave mixing at 1.06 um [6], rounded to two figures: Adair’s ZnO (e) 23.0 (his (o) is 25.0) (adair_1989, Table IV). Axis not stated here.

sheik_bahae_1991/n2_pred_ZnO

{
  "id": "n2_pred_ZnO",
  "material": "ZnO",
  "file": "ZnO/sheik_bahae_1991__n2_pred_ZnO.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.) x 10^-13 (esu)’, rows 24 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 1.50e-8 (from K = 3100, the fit to semiconductor 2PA; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n2_pred_wide_ZnO

{
  "id": "n2_pred_wide_ZnO",
  "material": "ZnO",
  "file": "ZnO/sheik_bahae_1991__n2_pred_wide_ZnO.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.)* x 10^-13 (esu)’, rows 24 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 0.86e-8, fitted to the wide-gap solids (‘The column indicated by * uses a fit to the constant K’ for wide-gap materials rather than the fit to 2PA in semiconductors’, table note; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n0_ZnO

{
  "id": "n0_ZnO",
  "material": "ZnO",
  "file": "ZnO/sheik_bahae_1991__n0_ZnO.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "refractive_index",
  "abscissa_unit": "um",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "assumed": true,
    "index_medium": "not stated"
  }
}

Table III, ‘Refr. Index’, rows 24 (p. 1305): the linear index used in the calculation, ‘from [41], [42]’ (table note), printed to 2-3 digits; not measured here. The wavelength column prints 0.53 for the Nd:YAG second harmonic (532 nm).

sheik_bahae_1991/eg_ZnO

{
  "id": "eg_ZnO",
  "material": "ZnO",
  "file": "ZnO/sheik_bahae_1991__eg_ZnO.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "band_gap",
  "unit": "eV",
  "abscissa": "none",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "kind": "assumed",
    "assumed": true
  }
}

Table III, ‘Bandgap (eV)’, row 24 (p. 1305): a parameter of the calculation ‘from [41], [42]’ (table note), not measured here. For the wide-gap solids ‘the absorption edge has been used to determine the bandgap. The band structure for these materials is not well known, and the direct gap may well be larger than this’ (p. 1304).

sheik_bahae_1991/n2_adair_NaBr

{
  "id": "n2_adair_NaBr",
  "material": "NaBr",
  "file": "NaBr/sheik_bahae_1991__n2_adair_NaBr.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "reproduced",
  "reproduced_from": [
    "adair_1989"
  ],
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic_vibrational",
    "coefficient": "self",
    "technique": "nearly degenerate three-wave mixing",
    "polarization": "linear"
  }
}

Table III, ‘n2(Exp.) x 10^-13 (esu)’, row 25 (p. 1305), the third block of the table (Fig. 5(a) solid circles): Adair et al.’s nearly degenerate three-wave mixing at 1.06 um [6], rounded to two figures: Adair’s 3.26 (adair_1989, Table IV). Axis not stated here.

sheik_bahae_1991/n2_pred_NaBr

{
  "id": "n2_pred_NaBr",
  "material": "NaBr",
  "file": "NaBr/sheik_bahae_1991__n2_pred_NaBr.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.) x 10^-13 (esu)’, rows 25 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 1.50e-8 (from K = 3100, the fit to semiconductor 2PA; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n2_pred_wide_NaBr

{
  "id": "n2_pred_wide_NaBr",
  "material": "NaBr",
  "file": "NaBr/sheik_bahae_1991__n2_pred_wide_NaBr.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.)* x 10^-13 (esu)’, rows 25 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 0.86e-8, fitted to the wide-gap solids (‘The column indicated by * uses a fit to the constant K’ for wide-gap materials rather than the fit to 2PA in semiconductors’, table note; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n0_NaBr

{
  "id": "n0_NaBr",
  "material": "NaBr",
  "file": "NaBr/sheik_bahae_1991__n0_NaBr.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "refractive_index",
  "abscissa_unit": "um",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "assumed": true,
    "index_medium": "not stated"
  }
}

Table III, ‘Refr. Index’, rows 25 (p. 1305): the linear index used in the calculation, ‘from [41], [42]’ (table note), printed to 2-3 digits; not measured here. The wavelength column prints 0.53 for the Nd:YAG second harmonic (532 nm).

sheik_bahae_1991/eg_NaBr

{
  "id": "eg_NaBr",
  "material": "NaBr",
  "file": "NaBr/sheik_bahae_1991__eg_NaBr.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "band_gap",
  "unit": "eV",
  "abscissa": "none",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "kind": "assumed",
    "assumed": true
  }
}

Table III, ‘Bandgap (eV)’, row 25 (p. 1305): a parameter of the calculation ‘from [41], [42]’ (table note), not measured here. For the wide-gap solids ‘the absorption edge has been used to determine the bandgap. The band structure for these materials is not well known, and the direct gap may well be larger than this’ (p. 1304).

sheik_bahae_1991/n2_adair_CaCO3

{
  "id": "n2_adair_CaCO3",
  "material": "CaCO3",
  "file": "CaCO3/sheik_bahae_1991__n2_adair_CaCO3.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "reproduced",
  "reproduced_from": [
    "adair_1989"
  ],
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic_vibrational",
    "coefficient": "self",
    "technique": "nearly degenerate three-wave mixing",
    "polarization": "linear"
  }
}

Table III, ‘n2(Exp.) x 10^-13 (esu)’, row 26 (p. 1305), the third block of the table (Fig. 5(a) solid circles): Adair et al.’s nearly degenerate three-wave mixing at 1.06 um [6], rounded to two figures: Adair’s CaCO3 (o) 1.11 (his (e) is 0.83) (adair_1989, Table IV). Axis not stated here.

sheik_bahae_1991/n2_pred_CaCO3

{
  "id": "n2_pred_CaCO3",
  "material": "CaCO3",
  "file": "CaCO3/sheik_bahae_1991__n2_pred_CaCO3.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.) x 10^-13 (esu)’, rows 26 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 1.50e-8 (from K = 3100, the fit to semiconductor 2PA; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n2_pred_wide_CaCO3

{
  "id": "n2_pred_wide_CaCO3",
  "material": "CaCO3",
  "file": "CaCO3/sheik_bahae_1991__n2_pred_wide_CaCO3.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.)* x 10^-13 (esu)’, rows 26 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 0.86e-8, fitted to the wide-gap solids (‘The column indicated by * uses a fit to the constant K’ for wide-gap materials rather than the fit to 2PA in semiconductors’, table note; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n0_CaCO3

{
  "id": "n0_CaCO3",
  "material": "CaCO3",
  "file": "CaCO3/sheik_bahae_1991__n0_CaCO3.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "refractive_index",
  "abscissa_unit": "um",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "assumed": true,
    "index_medium": "not stated"
  }
}

Table III, ‘Refr. Index’, rows 26 (p. 1305): the linear index used in the calculation, ‘from [41], [42]’ (table note), printed to 2-3 digits; not measured here. The wavelength column prints 0.53 for the Nd:YAG second harmonic (532 nm).

sheik_bahae_1991/eg_CaCO3

{
  "id": "eg_CaCO3",
  "material": "CaCO3",
  "file": "CaCO3/sheik_bahae_1991__eg_CaCO3.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "band_gap",
  "unit": "eV",
  "abscissa": "none",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "kind": "assumed",
    "assumed": true
  }
}

Table III, ‘Bandgap (eV)’, row 26 (p. 1305): a parameter of the calculation ‘from [41], [42]’ (table note), not measured here. For the wide-gap solids ‘the absorption edge has been used to determine the bandgap. The band structure for these materials is not well known, and the direct gap may well be larger than this’ (p. 1304).

sheik_bahae_1991/n2_adair_KBr

{
  "id": "n2_adair_KBr",
  "material": "KBr",
  "file": "KBr/sheik_bahae_1991__n2_adair_KBr.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "reproduced",
  "reproduced_from": [
    "adair_1989"
  ],
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic_vibrational",
    "coefficient": "self",
    "technique": "nearly degenerate three-wave mixing",
    "polarization": "linear"
  }
}

Table III, ‘n2(Exp.) x 10^-13 (esu)’, row 27 (p. 1305), the third block of the table (Fig. 5(a) solid circles): Adair et al.’s nearly degenerate three-wave mixing at 1.06 um [6], rounded to two figures: Adair’s 2.93 (adair_1989, Table IV). Axis not stated here.

sheik_bahae_1991/n2_pred_KBr

{
  "id": "n2_pred_KBr",
  "material": "KBr",
  "file": "KBr/sheik_bahae_1991__n2_pred_KBr.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.) x 10^-13 (esu)’, rows 27 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 1.50e-8 (from K = 3100, the fit to semiconductor 2PA; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n2_pred_wide_KBr

{
  "id": "n2_pred_wide_KBr",
  "material": "KBr",
  "file": "KBr/sheik_bahae_1991__n2_pred_wide_KBr.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.)* x 10^-13 (esu)’, rows 27 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 0.86e-8, fitted to the wide-gap solids (‘The column indicated by * uses a fit to the constant K’ for wide-gap materials rather than the fit to 2PA in semiconductors’, table note; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n0_KBr

{
  "id": "n0_KBr",
  "material": "KBr",
  "file": "KBr/sheik_bahae_1991__n0_KBr.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "refractive_index",
  "abscissa_unit": "um",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "assumed": true,
    "index_medium": "not stated"
  }
}

Table III, ‘Refr. Index’, rows 27 (p. 1305): the linear index used in the calculation, ‘from [41], [42]’ (table note), printed to 2-3 digits; not measured here. The wavelength column prints 0.53 for the Nd:YAG second harmonic (532 nm).

sheik_bahae_1991/eg_KBr

{
  "id": "eg_KBr",
  "material": "KBr",
  "file": "KBr/sheik_bahae_1991__eg_KBr.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "band_gap",
  "unit": "eV",
  "abscissa": "none",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "kind": "assumed",
    "assumed": true
  }
}

Table III, ‘Bandgap (eV)’, row 27 (p. 1305): a parameter of the calculation ‘from [41], [42]’ (table note), not measured here. For the wide-gap solids ‘the absorption edge has been used to determine the bandgap. The band structure for these materials is not well known, and the direct gap may well be larger than this’ (p. 1304).

sheik_bahae_1991/n2_adair_KCl

{
  "id": "n2_adair_KCl",
  "material": "KCl",
  "file": "KCl/sheik_bahae_1991__n2_adair_KCl.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "reproduced",
  "reproduced_from": [
    "adair_1989"
  ],
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic_vibrational",
    "coefficient": "self",
    "technique": "nearly degenerate three-wave mixing",
    "polarization": "linear"
  }
}

Table III, ‘n2(Exp.) x 10^-13 (esu)’, row 28 (p. 1305), the third block of the table (Fig. 5(a) solid circles): Adair et al.’s nearly degenerate three-wave mixing at 1.06 um [6], rounded to two figures: Adair’s 2.01 (adair_1989, Table IV). Axis not stated here.

sheik_bahae_1991/n2_pred_KCl

{
  "id": "n2_pred_KCl",
  "material": "KCl",
  "file": "KCl/sheik_bahae_1991__n2_pred_KCl.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.) x 10^-13 (esu)’, rows 28 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 1.50e-8 (from K = 3100, the fit to semiconductor 2PA; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n2_pred_wide_KCl

{
  "id": "n2_pred_wide_KCl",
  "material": "KCl",
  "file": "KCl/sheik_bahae_1991__n2_pred_wide_KCl.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.)* x 10^-13 (esu)’, rows 28 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 0.86e-8, fitted to the wide-gap solids (‘The column indicated by * uses a fit to the constant K’ for wide-gap materials rather than the fit to 2PA in semiconductors’, table note; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n0_KCl

{
  "id": "n0_KCl",
  "material": "KCl",
  "file": "KCl/sheik_bahae_1991__n0_KCl.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "refractive_index",
  "abscissa_unit": "um",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "assumed": true,
    "index_medium": "not stated"
  }
}

Table III, ‘Refr. Index’, rows 28 (p. 1305): the linear index used in the calculation, ‘from [41], [42]’ (table note), printed to 2-3 digits; not measured here. The wavelength column prints 0.53 for the Nd:YAG second harmonic (532 nm).

sheik_bahae_1991/eg_KCl

{
  "id": "eg_KCl",
  "material": "KCl",
  "file": "KCl/sheik_bahae_1991__eg_KCl.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "band_gap",
  "unit": "eV",
  "abscissa": "none",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "kind": "assumed",
    "assumed": true
  }
}

Table III, ‘Bandgap (eV)’, row 28 (p. 1305): a parameter of the calculation ‘from [41], [42]’ (table note), not measured here. For the wide-gap solids ‘the absorption edge has been used to determine the bandgap. The band structure for these materials is not well known, and the direct gap may well be larger than this’ (p. 1304).

sheik_bahae_1991/n2_adair_KDP

{
  "id": "n2_adair_KDP",
  "material": "KDP",
  "file": "KDP/sheik_bahae_1991__n2_adair_KDP.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "reproduced",
  "reproduced_from": [
    "adair_1989"
  ],
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic_vibrational",
    "coefficient": "self",
    "technique": "nearly degenerate three-wave mixing",
    "polarization": "linear"
  }
}

Table III, ‘n2(Exp.) x 10^-13 (esu)’, row 29 (p. 1305), the third block of the table (Fig. 5(a) solid circles): Adair et al.’s nearly degenerate three-wave mixing at 1.06 um [6], rounded to two figures: Adair’s KDP (o) 0.72 (his (e) 0.78 is the next row, printed ‘KH2PO4’) (adair_1989, Table IV). Axis not stated here.

sheik_bahae_1991/n2_pred_KDP

{
  "id": "n2_pred_KDP",
  "material": "KDP",
  "file": "KDP/sheik_bahae_1991__n2_pred_KDP.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.) x 10^-13 (esu)’, rows 29 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 1.50e-8 (from K = 3100, the fit to semiconductor 2PA; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n2_pred_wide_KDP

{
  "id": "n2_pred_wide_KDP",
  "material": "KDP",
  "file": "KDP/sheik_bahae_1991__n2_pred_wide_KDP.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.)* x 10^-13 (esu)’, rows 29 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 0.86e-8, fitted to the wide-gap solids (‘The column indicated by * uses a fit to the constant K’ for wide-gap materials rather than the fit to 2PA in semiconductors’, table note; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n0_KDP

{
  "id": "n0_KDP",
  "material": "KDP",
  "file": "KDP/sheik_bahae_1991__n0_KDP.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "refractive_index",
  "abscissa_unit": "um",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "assumed": true,
    "index_medium": "not stated"
  }
}

Table III, ‘Refr. Index’, rows 29 (p. 1305): the linear index used in the calculation, ‘from [41], [42]’ (table note), printed to 2-3 digits; not measured here. The wavelength column prints 0.53 for the Nd:YAG second harmonic (532 nm).

sheik_bahae_1991/eg_KDP

{
  "id": "eg_KDP",
  "material": "KDP",
  "file": "KDP/sheik_bahae_1991__eg_KDP.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "band_gap",
  "unit": "eV",
  "abscissa": "none",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "kind": "assumed",
    "assumed": true
  }
}

Table III, ‘Bandgap (eV)’, row 29 (p. 1305): a parameter of the calculation ‘from [41], [42]’ (table note), not measured here. For the wide-gap solids ‘the absorption edge has been used to determine the bandgap. The band structure for these materials is not well known, and the direct gap may well be larger than this’ (p. 1304).

sheik_bahae_1991/n2_adair_KH2PO4

{
  "id": "n2_adair_KH2PO4",
  "material": "KDP",
  "file": "KDP/sheik_bahae_1991__n2_adair_KH2PO4.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "reproduced",
  "reproduced_from": [
    "adair_1989"
  ],
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic_vibrational",
    "coefficient": "self",
    "technique": "nearly degenerate three-wave mixing",
    "polarization": "linear"
  }
}

Table III, ‘n2(Exp.) x 10^-13 (esu)’, row 30 (p. 1305), the third block of the table (Fig. 5(a) solid circles): Adair et al.’s nearly degenerate three-wave mixing at 1.06 um [6], rounded to two figures: Adair’s KDP (e) 0.78: the row printed ‘KH_2PO_4’ is KDP again (the row above, ‘KDP’ 0.7, is Adair’s (o) 0.72), with another gap (7.12 against 6.95 eV) and index (1.50 against 1.60) (adair_1989, Table IV). Axis not stated here.

sheik_bahae_1991/n2_pred_KH2PO4

{
  "id": "n2_pred_KH2PO4",
  "material": "KDP",
  "file": "KDP/sheik_bahae_1991__n2_pred_KH2PO4.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.) x 10^-13 (esu)’, rows 30 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 1.50e-8 (from K = 3100, the fit to semiconductor 2PA; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n2_pred_wide_KH2PO4

{
  "id": "n2_pred_wide_KH2PO4",
  "material": "KDP",
  "file": "KDP/sheik_bahae_1991__n2_pred_wide_KH2PO4.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.)* x 10^-13 (esu)’, rows 30 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 0.86e-8, fitted to the wide-gap solids (‘The column indicated by * uses a fit to the constant K’ for wide-gap materials rather than the fit to 2PA in semiconductors’, table note; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n0_KH2PO4

{
  "id": "n0_KH2PO4",
  "material": "KDP",
  "file": "KDP/sheik_bahae_1991__n0_KH2PO4.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "refractive_index",
  "abscissa_unit": "um",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "assumed": true,
    "index_medium": "not stated"
  }
}

Table III, ‘Refr. Index’, rows 30 (p. 1305): the linear index used in the calculation, ‘from [41], [42]’ (table note), printed to 2-3 digits; not measured here. The wavelength column prints 0.53 for the Nd:YAG second harmonic (532 nm). The row printed ‘KH_2PO_4’ is KDP (see n2_adair_KH2PO4).

sheik_bahae_1991/eg_KH2PO4

{
  "id": "eg_KH2PO4",
  "material": "KDP",
  "file": "KDP/sheik_bahae_1991__eg_KH2PO4.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "band_gap",
  "unit": "eV",
  "abscissa": "none",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "kind": "assumed",
    "assumed": true
  }
}

Table III, ‘Bandgap (eV)’, row 30 (p. 1305): a parameter of the calculation ‘from [41], [42]’ (table note), not measured here. For the wide-gap solids ‘the absorption edge has been used to determine the bandgap. The band structure for these materials is not well known, and the direct gap may well be larger than this’ (p. 1304). The row printed ‘KH_2PO_4’ is KDP (see n2_adair_KH2PO4); the ‘KDP’ row prints 6.95 eV.

sheik_bahae_1991/n2_adair_NaCl

{
  "id": "n2_adair_NaCl",
  "material": "NaCl",
  "file": "NaCl/sheik_bahae_1991__n2_adair_NaCl.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "reproduced",
  "reproduced_from": [
    "adair_1989"
  ],
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic_vibrational",
    "coefficient": "self",
    "technique": "nearly degenerate three-wave mixing",
    "polarization": "linear"
  }
}

Table III, ‘n2(Exp.) x 10^-13 (esu)’, row 31 (p. 1305), the third block of the table (Fig. 5(a) solid circles): Adair et al.’s nearly degenerate three-wave mixing at 1.06 um [6], rounded to two figures: Adair’s 1.59 (adair_1989, Table IV). Axis not stated here.

sheik_bahae_1991/n2_pred_NaCl

{
  "id": "n2_pred_NaCl",
  "material": "NaCl",
  "file": "NaCl/sheik_bahae_1991__n2_pred_NaCl.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.) x 10^-13 (esu)’, rows 31 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 1.50e-8 (from K = 3100, the fit to semiconductor 2PA; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n2_pred_wide_NaCl

{
  "id": "n2_pred_wide_NaCl",
  "material": "NaCl",
  "file": "NaCl/sheik_bahae_1991__n2_pred_wide_NaCl.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.)* x 10^-13 (esu)’, rows 31 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 0.86e-8, fitted to the wide-gap solids (‘The column indicated by * uses a fit to the constant K’ for wide-gap materials rather than the fit to 2PA in semiconductors’, table note; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n0_NaCl

{
  "id": "n0_NaCl",
  "material": "NaCl",
  "file": "NaCl/sheik_bahae_1991__n0_NaCl.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "refractive_index",
  "abscissa_unit": "um",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "assumed": true,
    "index_medium": "not stated"
  }
}

Table III, ‘Refr. Index’, rows 31 (p. 1305): the linear index used in the calculation, ‘from [41], [42]’ (table note), printed to 2-3 digits; not measured here. The wavelength column prints 0.53 for the Nd:YAG second harmonic (532 nm).

sheik_bahae_1991/eg_NaCl

{
  "id": "eg_NaCl",
  "material": "NaCl",
  "file": "NaCl/sheik_bahae_1991__eg_NaCl.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "band_gap",
  "unit": "eV",
  "abscissa": "none",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "kind": "assumed",
    "assumed": true
  }
}

Table III, ‘Bandgap (eV)’, row 31 (p. 1305): a parameter of the calculation ‘from [41], [42]’ (table note), not measured here. For the wide-gap solids ‘the absorption edge has been used to determine the bandgap. The band structure for these materials is not well known, and the direct gap may well be larger than this’ (p. 1304).

sheik_bahae_1991/n2_adair_Al2O3

{
  "id": "n2_adair_Al2O3",
  "material": "Al2O3",
  "file": "Al2O3/sheik_bahae_1991__n2_adair_Al2O3.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "reproduced",
  "reproduced_from": [
    "adair_1989"
  ],
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic_vibrational",
    "coefficient": "self",
    "technique": "nearly degenerate three-wave mixing",
    "polarization": "linear"
  }
}

Table III, ‘n2(Exp.) x 10^-13 (esu)’, row 32 (p. 1305), the third block of the table (Fig. 5(a) solid circles): Adair et al.’s nearly degenerate three-wave mixing at 1.06 um [6], rounded to two figures: Adair’s Al2O3 (o) 1.23 (his (e) is 1.30, his Table III ‘(av)’ 1.25) (adair_1989, Table IV). Axis not stated here.

sheik_bahae_1991/n2_pred_Al2O3

{
  "id": "n2_pred_Al2O3",
  "material": "Al2O3",
  "file": "Al2O3/sheik_bahae_1991__n2_pred_Al2O3.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.) x 10^-13 (esu)’, rows 32 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 1.50e-8 (from K = 3100, the fit to semiconductor 2PA; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n2_pred_wide_Al2O3

{
  "id": "n2_pred_wide_Al2O3",
  "material": "Al2O3",
  "file": "Al2O3/sheik_bahae_1991__n2_pred_wide_Al2O3.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.)* x 10^-13 (esu)’, rows 32 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 0.86e-8, fitted to the wide-gap solids (‘The column indicated by * uses a fit to the constant K’ for wide-gap materials rather than the fit to 2PA in semiconductors’, table note; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n0_Al2O3

{
  "id": "n0_Al2O3",
  "material": "Al2O3",
  "file": "Al2O3/sheik_bahae_1991__n0_Al2O3.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "refractive_index",
  "abscissa_unit": "um",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "assumed": true,
    "index_medium": "not stated"
  }
}

Table III, ‘Refr. Index’, rows 32 (p. 1305): the linear index used in the calculation, ‘from [41], [42]’ (table note), printed to 2-3 digits; not measured here. The wavelength column prints 0.53 for the Nd:YAG second harmonic (532 nm).

sheik_bahae_1991/eg_Al2O3

{
  "id": "eg_Al2O3",
  "material": "Al2O3",
  "file": "Al2O3/sheik_bahae_1991__eg_Al2O3.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "band_gap",
  "unit": "eV",
  "abscissa": "none",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "kind": "assumed",
    "assumed": true
  }
}

Table III, ‘Bandgap (eV)’, row 32 (p. 1305): a parameter of the calculation ‘from [41], [42]’ (table note), not measured here. For the wide-gap solids ‘the absorption edge has been used to determine the bandgap. The band structure for these materials is not well known, and the direct gap may well be larger than this’ (p. 1304).

sheik_bahae_1991/n2_adair_KF

{
  "id": "n2_adair_KF",
  "material": "KF",
  "file": "KF/sheik_bahae_1991__n2_adair_KF.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "reproduced",
  "reproduced_from": [
    "adair_1989"
  ],
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic_vibrational",
    "coefficient": "self",
    "technique": "nearly degenerate three-wave mixing",
    "polarization": "linear"
  }
}

Table III, ‘n2(Exp.) x 10^-13 (esu)’, row 33 (p. 1305), the third block of the table (Fig. 5(a) solid circles): Adair et al.’s nearly degenerate three-wave mixing at 1.06 um [6], rounded to two figures: Adair’s 0.75 (adair_1989, Table IV). Axis not stated here.

sheik_bahae_1991/n2_pred_KF

{
  "id": "n2_pred_KF",
  "material": "KF",
  "file": "KF/sheik_bahae_1991__n2_pred_KF.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.) x 10^-13 (esu)’, rows 33 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 1.50e-8 (from K = 3100, the fit to semiconductor 2PA; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n2_pred_wide_KF

{
  "id": "n2_pred_wide_KF",
  "material": "KF",
  "file": "KF/sheik_bahae_1991__n2_pred_wide_KF.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.)* x 10^-13 (esu)’, rows 33 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 0.86e-8, fitted to the wide-gap solids (‘The column indicated by * uses a fit to the constant K’ for wide-gap materials rather than the fit to 2PA in semiconductors’, table note; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n0_KF

{
  "id": "n0_KF",
  "material": "KF",
  "file": "KF/sheik_bahae_1991__n0_KF.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "refractive_index",
  "abscissa_unit": "um",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "assumed": true,
    "index_medium": "not stated"
  }
}

Table III, ‘Refr. Index’, rows 33 (p. 1305): the linear index used in the calculation, ‘from [41], [42]’ (table note), printed to 2-3 digits; not measured here. The wavelength column prints 0.53 for the Nd:YAG second harmonic (532 nm).

sheik_bahae_1991/eg_KF

{
  "id": "eg_KF",
  "material": "KF",
  "file": "KF/sheik_bahae_1991__eg_KF.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "band_gap",
  "unit": "eV",
  "abscissa": "none",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "kind": "assumed",
    "assumed": true
  }
}

Table III, ‘Bandgap (eV)’, row 33 (p. 1305): a parameter of the calculation ‘from [41], [42]’ (table note), not measured here. For the wide-gap solids ‘the absorption edge has been used to determine the bandgap. The band structure for these materials is not well known, and the direct gap may well be larger than this’ (p. 1304).

sheik_bahae_1991/n2_adair_MgO

{
  "id": "n2_adair_MgO",
  "material": "MgO",
  "file": "MgO/sheik_bahae_1991__n2_adair_MgO.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "reproduced",
  "reproduced_from": [
    "adair_1989"
  ],
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic_vibrational",
    "coefficient": "self",
    "technique": "nearly degenerate three-wave mixing",
    "polarization": "linear"
  }
}

Table III, ‘n2(Exp.) x 10^-13 (esu)’, row 34 (p. 1305), the third block of the table (Fig. 5(a) solid circles): Adair et al.’s nearly degenerate three-wave mixing at 1.06 um [6], rounded to two figures: Adair’s 1.61 (adair_1989, Table IV). Axis not stated here.

sheik_bahae_1991/n2_pred_MgO

{
  "id": "n2_pred_MgO",
  "material": "MgO",
  "file": "MgO/sheik_bahae_1991__n2_pred_MgO.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.) x 10^-13 (esu)’, rows 34 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 1.50e-8 (from K = 3100, the fit to semiconductor 2PA; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n2_pred_wide_MgO

{
  "id": "n2_pred_wide_MgO",
  "material": "MgO",
  "file": "MgO/sheik_bahae_1991__n2_pred_wide_MgO.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.)* x 10^-13 (esu)’, rows 34 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 0.86e-8, fitted to the wide-gap solids (‘The column indicated by * uses a fit to the constant K’ for wide-gap materials rather than the fit to 2PA in semiconductors’, table note; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n0_MgO

{
  "id": "n0_MgO",
  "material": "MgO",
  "file": "MgO/sheik_bahae_1991__n0_MgO.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "refractive_index",
  "abscissa_unit": "um",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "assumed": true,
    "index_medium": "not stated"
  }
}

Table III, ‘Refr. Index’, rows 34 (p. 1305): the linear index used in the calculation, ‘from [41], [42]’ (table note), printed to 2-3 digits; not measured here. The wavelength column prints 0.53 for the Nd:YAG second harmonic (532 nm).

sheik_bahae_1991/eg_MgO

{
  "id": "eg_MgO",
  "material": "MgO",
  "file": "MgO/sheik_bahae_1991__eg_MgO.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "band_gap",
  "unit": "eV",
  "abscissa": "none",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "kind": "assumed",
    "assumed": true
  }
}

Table III, ‘Bandgap (eV)’, row 34 (p. 1305): a parameter of the calculation ‘from [41], [42]’ (table note), not measured here. For the wide-gap solids ‘the absorption edge has been used to determine the bandgap. The band structure for these materials is not well known, and the direct gap may well be larger than this’ (p. 1304).

sheik_bahae_1991/n2_adair_SiO2_quartz

{
  "id": "n2_adair_SiO2_quartz",
  "material": "SiO2_quartz",
  "file": "SiO2_quartz/sheik_bahae_1991__n2_adair_SiO2_quartz.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "reproduced",
  "reproduced_from": [
    "adair_1989"
  ],
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic_vibrational",
    "coefficient": "self",
    "technique": "nearly degenerate three-wave mixing",
    "polarization": "linear"
  }
}

Table III, ‘n2(Exp.) x 10^-13 (esu)’, row 35 (p. 1305), the third block of the table (Fig. 5(a) solid circles): Adair et al.’s nearly degenerate three-wave mixing at 1.06 um [6], rounded to two figures: Adair’s crystal quartz (o) 1.12 (his (e) is 1.16; his fused silica is 0.85, which this table would print as 0.85): the row printed ‘SiO_2’ at 1.06 um is therefore crystal quartz, recorded as SiO2_quartz; its gap (7.80 eV) and index (1.40) are the same as the fused-silica row at 0.249 um (adair_1989, Table IV). Axis not stated here.

sheik_bahae_1991/n2_pred_SiO2_quartz

{
  "id": "n2_pred_SiO2_quartz",
  "material": "SiO2_quartz",
  "file": "SiO2_quartz/sheik_bahae_1991__n2_pred_SiO2_quartz.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.) x 10^-13 (esu)’, rows 35 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 1.50e-8 (from K = 3100, the fit to semiconductor 2PA; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n2_pred_wide_SiO2_quartz

{
  "id": "n2_pred_wide_SiO2_quartz",
  "material": "SiO2_quartz",
  "file": "SiO2_quartz/sheik_bahae_1991__n2_pred_wide_SiO2_quartz.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.)* x 10^-13 (esu)’, rows 35 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 0.86e-8, fitted to the wide-gap solids (‘The column indicated by * uses a fit to the constant K’ for wide-gap materials rather than the fit to 2PA in semiconductors’, table note; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n0_SiO2_quartz

{
  "id": "n0_SiO2_quartz",
  "material": "SiO2_quartz",
  "file": "SiO2_quartz/sheik_bahae_1991__n0_SiO2_quartz.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "refractive_index",
  "abscissa_unit": "um",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "assumed": true,
    "index_medium": "not stated"
  }
}

Table III, ‘Refr. Index’, rows 35 (p. 1305): the linear index used in the calculation, ‘from [41], [42]’ (table note), printed to 2-3 digits; not measured here. The wavelength column prints 0.53 for the Nd:YAG second harmonic (532 nm). The 1.06-um ‘SiO_2’ row, crystal quartz (see n2_adair_SiO2_quartz); 1.40 is printed, below both quartz and fused silica at 1.06 um.

sheik_bahae_1991/eg_SiO2_quartz

{
  "id": "eg_SiO2_quartz",
  "material": "SiO2_quartz",
  "file": "SiO2_quartz/sheik_bahae_1991__eg_SiO2_quartz.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "band_gap",
  "unit": "eV",
  "abscissa": "none",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "kind": "assumed",
    "assumed": true
  }
}

Table III, ‘Bandgap (eV)’, row 35 (p. 1305): a parameter of the calculation ‘from [41], [42]’ (table note), not measured here. For the wide-gap solids ‘the absorption edge has been used to determine the bandgap. The band structure for these materials is not well known, and the direct gap may well be larger than this’ (p. 1304). The 1.06-um ‘SiO_2’ row, crystal quartz (see n2_adair_SiO2_quartz): the same 7.80 eV as the fused-silica row.

sheik_bahae_1991/n2_adair_SrF2

{
  "id": "n2_adair_SrF2",
  "material": "SrF2",
  "file": "SrF2/sheik_bahae_1991__n2_adair_SrF2.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "reproduced",
  "reproduced_from": [
    "adair_1989"
  ],
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic_vibrational",
    "coefficient": "self",
    "technique": "nearly degenerate three-wave mixing",
    "polarization": "linear"
  }
}

Table III, ‘n2(Exp.) x 10^-13 (esu)’, row 36 (p. 1305), the third block of the table (Fig. 5(a) solid circles): Adair et al.’s nearly degenerate three-wave mixing at 1.06 um [6], rounded to two figures: Adair’s 0.50 (adair_1989, Table IV). Axis not stated here.

sheik_bahae_1991/n2_pred_SrF2

{
  "id": "n2_pred_SrF2",
  "material": "SrF2",
  "file": "SrF2/sheik_bahae_1991__n2_pred_SrF2.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.) x 10^-13 (esu)’, rows 36 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 1.50e-8 (from K = 3100, the fit to semiconductor 2PA; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n2_pred_wide_SrF2

{
  "id": "n2_pred_wide_SrF2",
  "material": "SrF2",
  "file": "SrF2/sheik_bahae_1991__n2_pred_wide_SrF2.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.)* x 10^-13 (esu)’, rows 36 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 0.86e-8, fitted to the wide-gap solids (‘The column indicated by * uses a fit to the constant K’ for wide-gap materials rather than the fit to 2PA in semiconductors’, table note; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n0_SrF2

{
  "id": "n0_SrF2",
  "material": "SrF2",
  "file": "SrF2/sheik_bahae_1991__n0_SrF2.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "refractive_index",
  "abscissa_unit": "um",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "assumed": true,
    "index_medium": "not stated"
  }
}

Table III, ‘Refr. Index’, rows 36 (p. 1305): the linear index used in the calculation, ‘from [41], [42]’ (table note), printed to 2-3 digits; not measured here. The wavelength column prints 0.53 for the Nd:YAG second harmonic (532 nm).

sheik_bahae_1991/eg_SrF2

{
  "id": "eg_SrF2",
  "material": "SrF2",
  "file": "SrF2/sheik_bahae_1991__eg_SrF2.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "band_gap",
  "unit": "eV",
  "abscissa": "none",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "kind": "assumed",
    "assumed": true
  }
}

Table III, ‘Bandgap (eV)’, row 36 (p. 1305): a parameter of the calculation ‘from [41], [42]’ (table note), not measured here. For the wide-gap solids ‘the absorption edge has been used to determine the bandgap. The band structure for these materials is not well known, and the direct gap may well be larger than this’ (p. 1304).

sheik_bahae_1991/n2_adair_CaF2

{
  "id": "n2_adair_CaF2",
  "material": "CaF2",
  "file": "CaF2/sheik_bahae_1991__n2_adair_CaF2.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "reproduced",
  "reproduced_from": [
    "adair_1989"
  ],
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic_vibrational",
    "coefficient": "self",
    "technique": "nearly degenerate three-wave mixing",
    "polarization": "linear"
  }
}

Table III, ‘n2(Exp.) x 10^-13 (esu)’, row 37 (p. 1305), the third block of the table (Fig. 5(a) solid circles): Adair et al.’s nearly degenerate three-wave mixing at 1.06 um [6], rounded to two figures: Adair’s 0.43 (adair_1989, Table IV). Axis not stated here.

sheik_bahae_1991/n2_pred_CaF2

{
  "id": "n2_pred_CaF2",
  "material": "CaF2",
  "file": "CaF2/sheik_bahae_1991__n2_pred_CaF2.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.) x 10^-13 (esu)’, rows 37 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 1.50e-8 (from K = 3100, the fit to semiconductor 2PA; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n2_pred_wide_CaF2

{
  "id": "n2_pred_wide_CaF2",
  "material": "CaF2",
  "file": "CaF2/sheik_bahae_1991__n2_pred_wide_CaF2.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.)* x 10^-13 (esu)’, rows 37 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 0.86e-8, fitted to the wide-gap solids (‘The column indicated by * uses a fit to the constant K’ for wide-gap materials rather than the fit to 2PA in semiconductors’, table note; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n0_CaF2

{
  "id": "n0_CaF2",
  "material": "CaF2",
  "file": "CaF2/sheik_bahae_1991__n0_CaF2.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "refractive_index",
  "abscissa_unit": "um",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "assumed": true,
    "index_medium": "not stated"
  }
}

Table III, ‘Refr. Index’, rows 37 (p. 1305): the linear index used in the calculation, ‘from [41], [42]’ (table note), printed to 2-3 digits; not measured here. The wavelength column prints 0.53 for the Nd:YAG second harmonic (532 nm).

sheik_bahae_1991/eg_CaF2

{
  "id": "eg_CaF2",
  "material": "CaF2",
  "file": "CaF2/sheik_bahae_1991__eg_CaF2.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "band_gap",
  "unit": "eV",
  "abscissa": "none",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "kind": "assumed",
    "assumed": true
  }
}

Table III, ‘Bandgap (eV)’, row 37 (p. 1305): a parameter of the calculation ‘from [41], [42]’ (table note), not measured here. For the wide-gap solids ‘the absorption edge has been used to determine the bandgap. The band structure for these materials is not well known, and the direct gap may well be larger than this’ (p. 1304).

sheik_bahae_1991/n2_adair_MgF2

{
  "id": "n2_adair_MgF2",
  "material": "MgF2",
  "file": "MgF2/sheik_bahae_1991__n2_adair_MgF2.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "reproduced",
  "reproduced_from": [
    "adair_1989"
  ],
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic_vibrational",
    "coefficient": "self",
    "technique": "nearly degenerate three-wave mixing",
    "polarization": "linear"
  }
}

Table III, ‘n2(Exp.) x 10^-13 (esu)’, row 38 (p. 1305), the third block of the table (Fig. 5(a) solid circles): Adair et al.’s nearly degenerate three-wave mixing at 1.06 um [6], rounded to two figures: Adair’s MgF2 (o) 0.25 (adair_1989, Table IV). Axis not stated here.

sheik_bahae_1991/n2_pred_MgF2

{
  "id": "n2_pred_MgF2",
  "material": "MgF2",
  "file": "MgF2/sheik_bahae_1991__n2_pred_MgF2.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.) x 10^-13 (esu)’, rows 38 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 1.50e-8 (from K = 3100, the fit to semiconductor 2PA; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n2_pred_wide_MgF2

{
  "id": "n2_pred_wide_MgF2",
  "material": "MgF2",
  "file": "MgF2/sheik_bahae_1991__n2_pred_wide_MgF2.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.)* x 10^-13 (esu)’, rows 38 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 0.86e-8, fitted to the wide-gap solids (‘The column indicated by * uses a fit to the constant K’ for wide-gap materials rather than the fit to 2PA in semiconductors’, table note; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n0_MgF2

{
  "id": "n0_MgF2",
  "material": "MgF2",
  "file": "MgF2/sheik_bahae_1991__n0_MgF2.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "refractive_index",
  "abscissa_unit": "um",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "assumed": true,
    "index_medium": "not stated"
  }
}

Table III, ‘Refr. Index’, rows 38 (p. 1305): the linear index used in the calculation, ‘from [41], [42]’ (table note), printed to 2-3 digits; not measured here. The wavelength column prints 0.53 for the Nd:YAG second harmonic (532 nm).

sheik_bahae_1991/eg_MgF2

{
  "id": "eg_MgF2",
  "material": "MgF2",
  "file": "MgF2/sheik_bahae_1991__eg_MgF2.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "band_gap",
  "unit": "eV",
  "abscissa": "none",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "kind": "assumed",
    "assumed": true
  }
}

Table III, ‘Bandgap (eV)’, row 38 (p. 1305): a parameter of the calculation ‘from [41], [42]’ (table note), not measured here. For the wide-gap solids ‘the absorption edge has been used to determine the bandgap. The band structure for these materials is not well known, and the direct gap may well be larger than this’ (p. 1304).

sheik_bahae_1991/n2_adair_LiF

{
  "id": "n2_adair_LiF",
  "material": "LiF",
  "file": "LiF/sheik_bahae_1991__n2_adair_LiF.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "reproduced",
  "reproduced_from": [
    "adair_1989"
  ],
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic_vibrational",
    "coefficient": "self",
    "technique": "nearly degenerate three-wave mixing",
    "polarization": "linear"
  }
}

Table III, ‘n2(Exp.) x 10^-13 (esu)’, row 39 (p. 1305), the third block of the table (Fig. 5(a) solid circles): Adair et al.’s nearly degenerate three-wave mixing at 1.06 um [6], rounded to two figures: Adair’s 0.26 (adair_1989, Table IV). Axis not stated here.

sheik_bahae_1991/n2_pred_LiF

{
  "id": "n2_pred_LiF",
  "material": "LiF",
  "file": "LiF/sheik_bahae_1991__n2_pred_LiF.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.) x 10^-13 (esu)’, rows 39 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 1.50e-8 (from K = 3100, the fit to semiconductor 2PA; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n2_pred_wide_LiF

{
  "id": "n2_pred_wide_LiF",
  "material": "LiF",
  "file": "LiF/sheik_bahae_1991__n2_pred_wide_LiF.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.)* x 10^-13 (esu)’, rows 39 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 0.86e-8, fitted to the wide-gap solids (‘The column indicated by * uses a fit to the constant K’ for wide-gap materials rather than the fit to 2PA in semiconductors’, table note; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n0_LiF

{
  "id": "n0_LiF",
  "material": "LiF",
  "file": "LiF/sheik_bahae_1991__n0_LiF.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "refractive_index",
  "abscissa_unit": "um",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "assumed": true,
    "index_medium": "not stated"
  }
}

Table III, ‘Refr. Index’, rows 39 (p. 1305): the linear index used in the calculation, ‘from [41], [42]’ (table note), printed to 2-3 digits; not measured here. The wavelength column prints 0.53 for the Nd:YAG second harmonic (532 nm).

sheik_bahae_1991/eg_LiF

{
  "id": "eg_LiF",
  "material": "LiF",
  "file": "LiF/sheik_bahae_1991__eg_LiF.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "band_gap",
  "unit": "eV",
  "abscissa": "none",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "kind": "assumed",
    "assumed": true
  }
}

Table III, ‘Bandgap (eV)’, row 39 (p. 1305): a parameter of the calculation ‘from [41], [42]’ (table note), not measured here. For the wide-gap solids ‘the absorption edge has been used to determine the bandgap. The band structure for these materials is not well known, and the direct gap may well be larger than this’ (p. 1304).

sheik_bahae_1991/n2_ross_SiO2

{
  "id": "n2_ross_SiO2",
  "material": "SiO2",
  "file": "SiO2/sheik_bahae_1991__n2_ross_SiO2.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "reproduced",
  "reproduced_from": [
    "I. N. Ross, W. T. Toner, C. J. Hooker, J. R. M. Barr, and I. Coffey, \"Nonlinear properties of silica and air for picosecond ultraviolet pulses,\" J. Modern Opt. 37, 555-573 (1990) [39]"
  ],
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "unknown",
    "coefficient": "self"
  }
}

Table III, ‘n2(Exp.) x 10^-13 (esu)’, row 40 (p. 1305), the last block (Fig. 5(a) diamond): ‘a measurement of n2 in silica at 249 nm [39]’ (p. 1304), Ross et al. With the table’s n0 = 1.60, 40 pi n2 / (c n0) = 4.45e-16 cm2/W, between the two values Milam 1998 quotes from Ross at 248 nm (5.6 and 3.4 x 1e-16 cm2/W; milam_1998/ross_1990). Picosecond pulses (the cited title); technique and pulse not stated here.

sheik_bahae_1991/n2_pred_SiO2

{
  "id": "n2_pred_SiO2",
  "material": "SiO2",
  "file": "SiO2/sheik_bahae_1991__n2_pred_SiO2.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.) x 10^-13 (esu)’, rows 40 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 1.50e-8 (from K = 3100, the fit to semiconductor 2PA; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n2_pred_wide_SiO2

{
  "id": "n2_pred_wide_SiO2",
  "material": "SiO2",
  "file": "SiO2/sheik_bahae_1991__n2_pred_wide_SiO2.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "nonlinear_index_field",
  "unit": "esu",
  "scale": 1e-13,
  "abscissa_unit": "um",
  "use": "check",
  "parameters": {
    "definition": "Delta n = n2 |E_omega|^2 / 2 = gamma I, E_omega the field amplitude (Eq. 1, p. 1296); n2(esu) = c n0 gamma / 40 pi (gamma in SI)",
    "part": "electronic",
    "coefficient": "self"
  }
}

Table III, ‘n2(Pred.)* x 10^-13 (esu)’, rows 40 (p. 1305): the two-band theory, Eq. (44) with the G2 of Table II (formula g2_degenerate), K’ = 0.86e-8, fitted to the wide-gap solids (‘The column indicated by * uses a fit to the constant K’ for wide-gap materials rather than the fit to 2PA in semiconductors’, table note; p. 1304), E_p = 21 eV, and the table’s own gap and index. Reproduced by formula g2_degenerate to the printed two figures (with 0.532 um for the rows printed 0.53). Not a measurement.

sheik_bahae_1991/n0_SiO2

{
  "id": "n0_SiO2",
  "material": "SiO2",
  "file": "SiO2/sheik_bahae_1991__n0_SiO2.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "refractive_index",
  "abscissa_unit": "um",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "assumed": true,
    "index_medium": "not stated"
  }
}

Table III, ‘Refr. Index’, rows 40 (p. 1305): the linear index used in the calculation, ‘from [41], [42]’ (table note), printed to 2-3 digits; not measured here. The wavelength column prints 0.53 for the Nd:YAG second harmonic (532 nm). Fused silica at 0.249 um: 1.60 as printed.

sheik_bahae_1991/eg_SiO2

{
  "id": "eg_SiO2",
  "material": "SiO2",
  "file": "SiO2/sheik_bahae_1991__eg_SiO2.csv",
  "table": "tbl_1be7b7bfe319",
  "quantity": "band_gap",
  "unit": "eV",
  "abscissa": "none",
  "use": "check",
  "reproduced_from": [
    "R. C. Weast, Ed., CRC Handbook of Chemistry and Physics, 65th ed. (CRC Press, Boca Raton, 1984) [41]",
    "E. D. Palik, Ed., Handbook of Optical Constants of Solids (Academic, Orlando, 1985) [42]"
  ],
  "parameters": {
    "kind": "assumed",
    "assumed": true
  }
}

Table III, ‘Bandgap (eV)’, row 40 (p. 1305): a parameter of the calculation ‘from [41], [42]’ (table note), not measured here. For the wide-gap solids ‘the absorption edge has been used to determine the bandgap. The band structure for these materials is not well known, and the direct gap may well be larger than this’ (p. 1304).

Formulas

sheik_bahae_1991/beta_two_band

{
  "id": "beta_two_band",
  "equation": "Eqs. (24)-(26), p. 1300",
  "printed": "beta(omega) = K sqrt(E_p) / (n0^2 E_g^3) F2(hbar omega / E_g); F2(x) = (2x - 1)^(3/2) / (2x)^5; K = (2^9 pi / 5) e^4 / (sqrt(m0) c^2)",
  "variable": "x = hbar omega / E_g (degenerate 2PA; F2 = 0 for x < 1/2); beta in cm/GW with E_g and E_p in eV; n0 the linear index; Gaussian units in Eq. (26)",
  "coefficients": {
    "K_theory": "1940",
    "K_fit": "3100",
    "K_weiler": "5200",
    "E_p": "21"
  },
  "check": "Eq. (26) with CODATA Gaussian constants (e = 4.80320e-10 esu, m0 = 9.10938e-28 g, c = 2.99792458e10 cm/s, 1 eV = 1.602177e-12 erg; beta x 1e16 for cm/GW) gives K = 1943 cm/GW eV^(5/2): the printed 'K = 1940' (checked 2026-09-27). F2 of Eq. (25) is the degenerate limit x1 = x2 of Table I's 2PA term, (x1 + x2 - 1)^(3/2) / (2^7 x1 x2^2) (1/x1 + 1/x2)^2 = (2x - 1)^(3/2) / (2x)^5 (checked algebraically)."
}

The two-parabolic-band 2PA of a direct-gap semiconductor, p_vc parallel to k (angular factor 1/5; the Kane heavy-hole case gives 2/15, p. 1299). E_p = 2 |p_vc|^2 / m0, the Kane energy, ‘~21 eV for most direct gap semiconductors’ (p. 1300). ‘The best fit to the data of [11] using (24) and (25) gave K = 3100 ... Weiler’s second-order perturbation calculation for a four-band model gave K = 5200’ (p. 1300). beta = 2 hbar omega Delta W / I^2 (p. 1299-1300).

sheik_bahae_1991/f2_nondegenerate

{
  "id": "f2_nondegenerate",
  "equation": "Eqs. (28)-(38) and Table I, pp. 1300-1302",
  "printed": "Delta alpha(omega1; omega2) = 2K sqrt(E_p) / (n1 n2 E_g^3) F2(hbar omega1 / E_g; hbar omega2 / E_g) I2; F2 = F2PA + F2RAM + F2LSE + F2QSE with F2PA = (x1 + x2 - 1)^(3/2) / (2^7 x1 x2^2) (1/x1 + 1/x2)^2; F2RAM = (x1 - x2 - 1)^(3/2) / (2^7 x1 x2^2) (1/x1 - 1/x2)^2; F2LSE = -(x1 - 1)^(3/2) / (2^6 x1 x2^2) (1/x2^2); F2QSE = -1 / (2^10 x1 x2^2 (x1 - 1)^(1/2)) [1/(x1 - x2) + 1/(x1 + x2)]",
  "variable": "x1 = hbar omega1 / E_g (the probe whose absorption changes), x2 = hbar omega2 / E_g (the pump, below the gap); each (...)^(3/2) term is zero when its argument is negative; n1, n2 the linear indices at omega1, omega2; I2 the pump irradiance",
  "coefficients": {
    "K": "1940",
    "E_p": "21"
  },
  "check": "Table I checked against its image (2026-09-27): it agrees with Eqs. (29), (33), (38). Eq. (30) in the text prints the Raman numerator as (x1 - x2 - 1)^(3/2) - (-x1 + x2 - 1)^(3/2); Table I keeps only the first term, which is the whole for x2 < 1 and x1 > 0 (the second needs x2 > x1 + 1, a pump above the gap, excluded here). The degenerate 2PA limit is Eq. (25) (formula beta_two_band). The KK transform of these terms, with the divergent term removed, is Table II (formula g2_degenerate), which reproduces Table III."
}

The quadratic Stark term here has two terms; sheik_bahae_1994 (Table I) adds two more (the conservation of states), which ‘contribute less than 10% to the degenerate n2(omega) for hbar omega1 / E_g < 0.95’ and ‘were ignored in [5]’ (sheik_bahae_1994, p. 250). The linear Stark (self-coupling) term only cancels the omega^-4 divergences of the 2PA and Raman terms (p. 1303).

sheik_bahae_1991/g2_degenerate

{
  "id": "g2_degenerate",
  "equation": "Eqs. (39)-(44) and Table II, pp. 1302-1304",
  "printed": "n2(esu) = K' sqrt(E_p) / (n0 E_g^4) G2(hbar omega / E_g); gamma = K hbar c sqrt(E_p) / (n0^2 E_g^4) G2 (Eq. 40); G2(x2) = (2/pi) int_0^inf F2(x1; x2) dx1 / (x1^2 - x2^2) (Eq. 41). Table II: G2PA = (2x)^-6 [-(3/8) x^2 (1 - x)^(-1/2) + 3x (1 - x)^(1/2) - 2(1 - x)^(3/2) + 2 Theta(1 - 2x) (1 - 2x)^(3/2)]; G2RAM = (2x)^-6 [-(3/8) x^2 (1 + x)^(-1/2) - 3x (1 + x)^(1/2) - 2(1 + x)^(3/2) + 2(1 + 2x)^(3/2)]; G2LSE = (2x)^-6 [2 - (1 - x)^(3/2) - (1 + x)^(3/2)]; G2QSE = (2^10 x^5)^-1 [(1 - x)^(-1/2) - (1 + x)^(-1/2) - (x/2)(1 - x)^(-3/2) - (x/2)(1 + x)^(-3/2)]; divergent term = (2x)^-6 [-2 - 35x^2/8 + (x/8)(3x - 1)(1 - x)^(-1/2) - 3x (1 - x)^(1/2) + (1 - x)^(3/2) + (x/8)(3x + 1)(1 + x)^(-1/2) + 3x (1 + x)^(1/2) + (1 + x)^(3/2)]",
  "variable": "x = hbar omega / E_g < 1 (degenerate self-refraction); E_g and E_p in eV; n2 in esu of Delta n = n2 |E|^2 / 2 (Eq. 1); Theta the step function",
  "coefficients": {
    "K_prime_fit": "1.50e-8",
    "K_prime_theory": "0.94e-8",
    "K_prime_wide_gap": "0.86e-8",
    "E_p": "21"
  },
  "check": "G2 = G2PA + G2RAM + G2LSE + G2QSE - divergent term ('we treat such a divergence as unphysical and subtract it', p. 1303) reproduces both predicted columns of Table III, including the unregistered rows: all 40 'Pred.' cells (K' = 1.50e-8) and all 22 'Pred.*' cells (K' = 0.86e-8) within 3.4 %, 49 of the 62 to the printed rounding and the other 13 within 0.2-3.4 % (largest: MgO 1.654 against 1.6, AlGaAs at 0.840 um -3250 against -3300, KBr 2.955 against 2.9), with hbar omega = 1.23984 eV um / lambda, the table's gap and index, E_p = 21 eV, and lambda = 0.532 um for the rows printed 0.53 (with 0.53 exactly, CdS gives -1360 against -1200). The Ge row uses the daggered direct gap 0.87 eV. G2(0.01) = 0.0140 (the divergent 2PA, Raman and linear Stark pieces cancel the -x^-5 of the quadratic Stark piece); G2 changes sign at x = 0.688 ('at about hbar omega / E_g = 0.7', p. 1308). Computed 2026-09-27 (scratch script)."
}

K’ = 1.50e-8 is ‘using the value of K obtained from the fit to 2PA in semiconductors (3100)’; ‘Using the value of K predicted by theory (no fitting) gives K’ = 0.94 x 10^-8’; ‘a good fit to the n2 data [of the wide-gap solids] can be obtained by using a smaller value for the constant K’ = 0.86 x 10^-8’ (p. 1304). K’ = K hbar c^2 / 40 pi gives 1.459e-8 and 0.913e-8 (2.7-3.0 % below the printed values). The interference factor of two was ignored here (sheik_bahae_1994, p. 251; desalvo_1996 uses K’ = 7.33e-9 for K = 3100). The Table II caption refers to ‘(44)’ and prints ‘hbar omega / E_R’ for hbar omega / E_g. sheik_bahae_1994 notes that Fig. 4 here removed the divergences of the individual contributions incorrectly (‘thus suppressing the bandgap resonance of the electronic Raman effect’); the total G2 is unaffected (its footnote 1, p. 253). The switching criterion, Eq. (47): (hbar omega / E_g) |G2| / F2 > 2 pi c_sw (p. 1306).

Corrections

No dataset errata are recorded in this source record.

Formula corrections, where recorded, appear with their formulas above. Curation notes may also discuss corrections or unresolved interpretation. Consult the review register for the checks and decisions.