boling_1978#
N. L. Boling, A. J. Glass and A. Owyoung, “Empirical relationships for predicting nonlinear refractive index changes in optical solids”, IEEE J. Quantum Electron. QE-14, 601-608 (1978)
Source record · Catalogue · Review register
Source kind: compilation
Recorded technique: A model (the ‘BGO formula’): a classical anharmonic (Duffing) oscillator with Wang’s conjecture gamma = q alpha^2 and the Lorentz local field gives n2 from the linear index and its dispersion (Eq. 25, with the Clausius-Mossotti one-oscillator fit, Eq. 26), and in terms of n_d and the Abbe number (Eq. 38). Compared with n2 measured by others: ellipse rotation (Owyoung, Refs. 11-12; Table I) and time-resolved interferometry (Milam and Weber, Refs. 14-15; Table III). No measurement of its own.
Materials in structured entries: BK7, ED-2, ED-4, EV-1, EY-1, FK-5, FK-51, FK-6, FR-5, LHG-5, LHG-6, LSO, LaK-3, LaSF-7, SF-7, SiO2, YAG, fluorophosphate_boling_1978, silicate_boling_1978
Dataset quantities: nonlinear_index_field, refractive_index
Contents: 66 datasets; 3 formulas.
Curation notes#
Journal pages 601-608 = pdf pages 1-8 (the pdf’s page 8 continues with the start of an unrelated paper, Kawakami and Ikeda, ‘Transmission characteristics of a two-mode optical waveguide’, not extracted). Identity checked against the first page.
DEFINITIONS (Gaussian units). p = alpha E_l cos(wt) + (1/6) gamma (E_l cos wt)^3 (Eq. 1, p. 601); local field f = (n^2 + 2)/3 (Eq. 3); P(w) = chi(1) E + 3 chi(3)_1111(-w; w, w, -w) E^3 with chi(3)_1111 = (f^4/24) sum N gamma (Eqs. 5-6, pp. 601-602); (n^2 - 1)/4 pi = f sum N alpha (Eq. 7) and n2 = (12 pi/n) chi(3)_1111 = (f^4 pi/2n) sum N gamma (Eq. 8, p. 602). The n2 of the tables are in esu (‘10^13 n2 (esu)’), for n = n0 + n2 <E^2> as used by Adair et al. 1989 (adair_1989, whose Eq. (6) is this paper’s Eq. (38) with K = 68).
N2 IN ESU (datasets, nonlinear_index_field). The n2 columns of Tables I and III, in units of 1e-13 esu, converted to nothing: Table I (tbl_1104b7cc486c, p. 603), ‘10^13 n2 measured (esu)*’, reproduced from Owyoung’s ellipse rotation (Refs. 11, 12, ‘by assuming that n2 is purely electronic in origin’, part unknown), and ‘10^13 n2 calculated’ (Eqs. 25-26 with gs = 3; check); Table III (tbl_6d8d3f9d443b, p. 606), ‘n2 calc’ (Eq. 38; check) and ‘n2 exper’ (Milam and Weber’s TRI, Refs. 14-15, part total; reproduced) with +-. The paper never writes n = n0 + n2 <E^2>: it defines n2 = (12 pi/n) chi(3)_1111 (Eq. 8) with P(w) = chi(1) E + 3 chi(3)_1111 E^3 for the field E cos(wt) (Eqs. 1-5), which is n = n0 + n2 <E^2> with <E^2> = E^2/2 (derived here, not stated); Adair et al. 1989 (adair_1989) use the same n2 and Eq. (38). Fused silica: Table I n 1.456, measured 1.00, calculated 0.91; Table III n_d 1.458, nu_d 70, calculated 0.87, measured 0.95 +- 0.10 (x 1e-13 esu). All cells checked against the table images (2026-09-26). Errata: Table III’s header ‘10^23’ for the calculated column is a misprint for 10^13 (a scale erratum per dataset; Eq. 38, in 10^-13 esu, reproduces the column, and Fig. 2’s axis is ‘n2 (10^-13) CALCULATED’); EV-1’s ‘0.91 +- 0.9’ is 0.91 +- 0.09 (Fig. 2 draws its error bar from about 0.83 to 1.01). The silicate row’s n_d prints as ‘1:769’ in the image (a speck; 1.769). Fig. 2 also plots CaF2, LiF, MgF2 and KH2PO4, which Table III does not list (not digitised). Neither table states the wavelength of its n2 (‘not stated’); adair_1989’s Table III lists the same TRI references at 1.06 um.
PART. Table I’s values assume a purely electronic n2; Hellwarth, Cherlow and Yang (Ref. 16) found nuclear contributions of ‘29, 21, 15, 19, and 21 percent’ for LaSF-7, SF-7, ED-4, LSO and fused silica, ‘all to within +-3 percent’, and ‘the n2’s of Table I should be multiplied by the factor (3 sigma + 4 A0 + 4 B0)/(3 sigma + 6 B0) to obtain the true values, including both nuclear and electronic components ... this factor is 0.98, 1.00, 1.07, 1.08, and 1.16’ for those glasses (p. 604). ‘These interferometric measurements [Table III] yield total values of n2, including both electronic and nuclear components’ (p. 606). The formula’s constant gs = 3 was fitted to the ellipse-rotation values, so ‘our equation also partially accounts for the Raman component’ (p. 606).
LINEAR INDICES (datasets). Table I’s n (p. 603; wavelength not stated: the ellipse rotation experiments’ index is presumably meant, but the paper does not say) and Table III’s n_d (p. 606; at lambda_d = 0.58756 um, Eq. 32; ‘the parameters customarily used in glass manufacture [22]’, the Schott catalogue, 1972, cited generally). Both are inputs of the formulas: use ‘check’, assumed. Table III’s Abbe numbers nu_d = (n_d - 1)/ (n_F - n_C) (Eq. 31; lambda_F = 0.48613, lambda_C = 0.65627 um) have no quantity: silicate 27, EY-1 48, FR-5 52, ED-2 54, LHG-5 63, BK-7 64, LHG-6 66, EV-1 69, fused silica 70, FK-5 70, fluoro-phosphate 81, FK-51 84 (image checked). Whether the wavelengths are in air (as glass catalogues’ are) is not said; the difference changes n_d by < 1e-5.
OSCILLATOR PARAMETERS (Table II, p. 604; no quantity: the densities are those of the dominant polarizable ion, not of particles available for ionisation). Columns N (10^22 cm^-3, ‘Calculated from composition’), Ns (10^22 cm^-3, ‘Calculated from Clausius-Mossotti equation’) and s = Ns/N. a) oxide glasses and YAG, N = N_ox: fused silica 4.4, 13.2, 3.0; BK-7 4.5, 14.3, 3.1; LSO 3.9, 12.5, 3.2; FD-2 4.5, 13.4, 3.0; SF-7 4.1, 9.35, 2.3; YAG 5.5, 18.6, 3.4; EY-1 4.7, 14.1, 3.0. b) crystalline fluorides, N = N_F: LiF 6.12, 17.0, 2.78; NaF 3.67, 11.0, 3.00; MgF2 6.09, 18.0, 2.96; CaF2 5.24, 18.1, 3.45; BaF2 3.36, 17.1, 5.09; PbF2 4.05, 9.7, 2.40; SrF2 4.07, 18.0, 4.43 (image checked; ‘FD-2’ is printed in a) and appears nowhere else: ED-2 of Table III? Not decidable; registered as printed). ‘For most of these materials, s ~ 3. Significant deviation is observed for the lead glass, SF-7’ (p. 604); for oxide glasses g = 1 (gs = 3); for the fluorides ‘most values of s were determined to lie between 3 and 4.5’ and g = 1 ‘yielded an excellent fit’ (Ref. 15). The omega0 of the fits are not given.
OTHER RELATIONS (notes, not formulas with numbers). Fournier and Snitzer (Ref. 17) used Wemple and DiDomenico’s Sellmeier fits, n^2 - 1 = 4 pi (e^2/m) sN/(w0bar^2 - w^2) (Eq. 27), whose resonance relates to the Clausius-Mossotti one by w0bar^2 = 3 w0^2/(n^2 + 2) (Eq. 28): ‘For n = 1.5, this leads to values of n2 20 percent larger than those predicted by (25)’. Wang’s expression (Eq. 29, Ref. 5) with g = 1.2 and s = 4 differs from Eq. (25) by the factor (n^2 + 2)^(3/2)/3.25 (Eq. 30), 2.7 for n = 1.5 (p. 605). Ns in terms of Wemple’s parameters: Ns = (E_d E_0/R_y^2)/(16 pi r0^3) (Eq. 41; R_y = 13.6 eV, r0 = 5.29e-11 m), with E_d E_0 ~ 150 eV^2 for most oxide glasses (p. 607). Accuracy claimed (p. 607): ‘one can be fairly confident of a calculated value of n2 to within about +-20 percent for low dispersion, low index materials of cubic or amorphous structure’. Ellipse rotation ‘measured with +-7 percent precision’ (p. 603).
FIGURES. Fig. 1 (p. 603): measured against calculated n2 of Table I. Fig. 2 (p. 606): the same for Table III (Eq. 38). Fig. 3 (p. 607): measured n2 against Eq. (39). Not digitised.
REPRODUCTIONS. white_1984 predicts the 1064-nm gamma of BK-10 ‘from Eq. (38) of Ref. 10’ (this paper) as 2.8 x 10^-16 cm^2/W. adair_1989 uses Eq. (38) as its Eq. (6) (K = 68, and refits K = 48). santran_2004 cites the formula. refractiveindex.info has no page for this source; its ‘Milam’ pages for BaF2, CaF2, LiF, MgF2 cite Milam, Weber and Glass (Appl. Phys. Lett. 31, 822 (1977)), this paper’s Ref. 15.
Recorded bibliographic identity status: VALIDATED_WITH_WARNINGS. This concerns identification of the source; it does not establish the scientific correctness of its contents.
Datasets#
boling_1978/n_table1_FK-6#
{
"id": "n_table1_FK-6",
"material": "FK-6",
"file": "FK-6/boling_1978__n_table1_FK-6.csv",
"table": "tbl_1104b7cc486c",
"quantity": "refractive_index",
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"assumed": true
}
}
Table I, column n (p. 603): the index listed with the ellipse-rotation n2 and used in Eq. (25); its wavelength and source are not stated.
boling_1978/n_table1_SiO2#
{
"id": "n_table1_SiO2",
"material": "SiO2",
"file": "SiO2/boling_1978__n_table1_SiO2.csv",
"table": "tbl_1104b7cc486c",
"quantity": "refractive_index",
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"assumed": true
}
}
Table I, column n (p. 603): the index listed with the ellipse-rotation n2 and used in Eq. (25); its wavelength and source are not stated.
boling_1978/n_table1_BK7#
{
"id": "n_table1_BK7",
"material": "BK7",
"file": "BK7/boling_1978__n_table1_BK7.csv",
"table": "tbl_1104b7cc486c",
"quantity": "refractive_index",
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"assumed": true
}
}
Table I, column n (p. 603): the index listed with the ellipse-rotation n2 and used in Eq. (25); its wavelength and source are not stated.
boling_1978/n_table1_LSO#
{
"id": "n_table1_LSO",
"material": "LSO",
"file": "LSO/boling_1978__n_table1_LSO.csv",
"table": "tbl_1104b7cc486c",
"quantity": "refractive_index",
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"assumed": true
}
}
Table I, column n (p. 603): the index listed with the ellipse-rotation n2 and used in Eq. (25); its wavelength and source are not stated.
boling_1978/n_table1_ED-4#
{
"id": "n_table1_ED-4",
"material": "ED-4",
"file": "ED-4/boling_1978__n_table1_ED-4.csv",
"table": "tbl_1104b7cc486c",
"quantity": "refractive_index",
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"assumed": true
}
}
Table I, column n (p. 603): the index listed with the ellipse-rotation n2 and used in Eq. (25); its wavelength and source are not stated.
boling_1978/n_table1_EY-1#
{
"id": "n_table1_EY-1",
"material": "EY-1",
"file": "EY-1/boling_1978__n_table1_EY-1.csv",
"table": "tbl_1104b7cc486c",
"quantity": "refractive_index",
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"assumed": true
}
}
Table I, column n (p. 603): the index listed with the ellipse-rotation n2 and used in Eq. (25); its wavelength and source are not stated.
boling_1978/n_table1_SF-7#
{
"id": "n_table1_SF-7",
"material": "SF-7",
"file": "SF-7/boling_1978__n_table1_SF-7.csv",
"table": "tbl_1104b7cc486c",
"quantity": "refractive_index",
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"assumed": true
}
}
Table I, column n (p. 603): the index listed with the ellipse-rotation n2 and used in Eq. (25); its wavelength and source are not stated.
boling_1978/n_table1_LaK-3#
{
"id": "n_table1_LaK-3",
"material": "LaK-3",
"file": "LaK-3/boling_1978__n_table1_LaK-3.csv",
"table": "tbl_1104b7cc486c",
"quantity": "refractive_index",
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"assumed": true
}
}
Table I, column n (p. 603): the index listed with the ellipse-rotation n2 and used in Eq. (25); its wavelength and source are not stated.
boling_1978/n_table1_YAG#
{
"id": "n_table1_YAG",
"material": "YAG",
"file": "YAG/boling_1978__n_table1_YAG.csv",
"table": "tbl_1104b7cc486c",
"quantity": "refractive_index",
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"assumed": true
}
}
Table I, column n (p. 603): the index listed with the ellipse-rotation n2 and used in Eq. (25); its wavelength and source are not stated.
boling_1978/n_table1_LaSF-7#
{
"id": "n_table1_LaSF-7",
"material": "LaSF-7",
"file": "LaSF-7/boling_1978__n_table1_LaSF-7.csv",
"table": "tbl_1104b7cc486c",
"quantity": "refractive_index",
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"assumed": true
}
}
Table I, column n (p. 603): the index listed with the ellipse-rotation n2 and used in Eq. (25); its wavelength and source are not stated.
boling_1978/nd_table3_silicate_boling_1978#
{
"id": "nd_table3_silicate_boling_1978",
"material": "silicate_boling_1978",
"file": "silicate_boling_1978/boling_1978__nd_table3_silicate_boling_1978.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "refractive_index",
"abscissa_unit": "um",
"use": "check",
"parameters": {
"assumed": true
}
}
Table III, column n_d (p. 606), at the d line (0.58756 um, Eq. 32; air or vacuum not stated): the input of Eq. (38), with the Abbe number (source notes); its source is not stated per glass (the Schott catalogue, Ref. 22, is cited for the parameters in general).
boling_1978/nd_table3_EY-1#
{
"id": "nd_table3_EY-1",
"material": "EY-1",
"file": "EY-1/boling_1978__nd_table3_EY-1.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "refractive_index",
"abscissa_unit": "um",
"use": "check",
"parameters": {
"assumed": true
}
}
Table III, column n_d (p. 606), at the d line (0.58756 um, Eq. 32; air or vacuum not stated): the input of Eq. (38), with the Abbe number (source notes); its source is not stated per glass (the Schott catalogue, Ref. 22, is cited for the parameters in general).
boling_1978/nd_table3_FR-5#
{
"id": "nd_table3_FR-5",
"material": "FR-5",
"file": "FR-5/boling_1978__nd_table3_FR-5.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "refractive_index",
"abscissa_unit": "um",
"use": "check",
"parameters": {
"assumed": true
}
}
Table III, column n_d (p. 606), at the d line (0.58756 um, Eq. 32; air or vacuum not stated): the input of Eq. (38), with the Abbe number (source notes); its source is not stated per glass (the Schott catalogue, Ref. 22, is cited for the parameters in general).
boling_1978/nd_table3_ED-2#
{
"id": "nd_table3_ED-2",
"material": "ED-2",
"file": "ED-2/boling_1978__nd_table3_ED-2.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "refractive_index",
"abscissa_unit": "um",
"use": "check",
"parameters": {
"assumed": true
}
}
Table III, column n_d (p. 606), at the d line (0.58756 um, Eq. 32; air or vacuum not stated): the input of Eq. (38), with the Abbe number (source notes); its source is not stated per glass (the Schott catalogue, Ref. 22, is cited for the parameters in general).
boling_1978/nd_table3_LHG-5#
{
"id": "nd_table3_LHG-5",
"material": "LHG-5",
"file": "LHG-5/boling_1978__nd_table3_LHG-5.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "refractive_index",
"abscissa_unit": "um",
"use": "check",
"parameters": {
"assumed": true
}
}
Table III, column n_d (p. 606), at the d line (0.58756 um, Eq. 32; air or vacuum not stated): the input of Eq. (38), with the Abbe number (source notes); its source is not stated per glass (the Schott catalogue, Ref. 22, is cited for the parameters in general).
boling_1978/nd_table3_BK7#
{
"id": "nd_table3_BK7",
"material": "BK7",
"file": "BK7/boling_1978__nd_table3_BK7.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "refractive_index",
"abscissa_unit": "um",
"use": "check",
"parameters": {
"assumed": true
}
}
Table III, column n_d (p. 606), at the d line (0.58756 um, Eq. 32; air or vacuum not stated): the input of Eq. (38), with the Abbe number (source notes); its source is not stated per glass (the Schott catalogue, Ref. 22, is cited for the parameters in general).
boling_1978/nd_table3_LHG-6#
{
"id": "nd_table3_LHG-6",
"material": "LHG-6",
"file": "LHG-6/boling_1978__nd_table3_LHG-6.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "refractive_index",
"abscissa_unit": "um",
"use": "check",
"parameters": {
"assumed": true
}
}
Table III, column n_d (p. 606), at the d line (0.58756 um, Eq. 32; air or vacuum not stated): the input of Eq. (38), with the Abbe number (source notes); its source is not stated per glass (the Schott catalogue, Ref. 22, is cited for the parameters in general).
boling_1978/nd_table3_EV-1#
{
"id": "nd_table3_EV-1",
"material": "EV-1",
"file": "EV-1/boling_1978__nd_table3_EV-1.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "refractive_index",
"abscissa_unit": "um",
"use": "check",
"parameters": {
"assumed": true
}
}
Table III, column n_d (p. 606), at the d line (0.58756 um, Eq. 32; air or vacuum not stated): the input of Eq. (38), with the Abbe number (source notes); its source is not stated per glass (the Schott catalogue, Ref. 22, is cited for the parameters in general).
boling_1978/nd_table3_SiO2#
{
"id": "nd_table3_SiO2",
"material": "SiO2",
"file": "SiO2/boling_1978__nd_table3_SiO2.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "refractive_index",
"abscissa_unit": "um",
"use": "check",
"parameters": {
"assumed": true
}
}
Table III, column n_d (p. 606), at the d line (0.58756 um, Eq. 32; air or vacuum not stated): the input of Eq. (38), with the Abbe number (source notes); its source is not stated per glass (the Schott catalogue, Ref. 22, is cited for the parameters in general).
boling_1978/nd_table3_FK-5#
{
"id": "nd_table3_FK-5",
"material": "FK-5",
"file": "FK-5/boling_1978__nd_table3_FK-5.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "refractive_index",
"abscissa_unit": "um",
"use": "check",
"parameters": {
"assumed": true
}
}
Table III, column n_d (p. 606), at the d line (0.58756 um, Eq. 32; air or vacuum not stated): the input of Eq. (38), with the Abbe number (source notes); its source is not stated per glass (the Schott catalogue, Ref. 22, is cited for the parameters in general).
boling_1978/nd_table3_fluorophosphate_boling_1978#
{
"id": "nd_table3_fluorophosphate_boling_1978",
"material": "fluorophosphate_boling_1978",
"file": "fluorophosphate_boling_1978/boling_1978__nd_table3_fluorophosphate_boling_1978.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "refractive_index",
"abscissa_unit": "um",
"use": "check",
"parameters": {
"assumed": true
}
}
Table III, column n_d (p. 606), at the d line (0.58756 um, Eq. 32; air or vacuum not stated): the input of Eq. (38), with the Abbe number (source notes); its source is not stated per glass (the Schott catalogue, Ref. 22, is cited for the parameters in general).
boling_1978/nd_table3_FK-51#
{
"id": "nd_table3_FK-51",
"material": "FK-51",
"file": "FK-51/boling_1978__nd_table3_FK-51.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "refractive_index",
"abscissa_unit": "um",
"use": "check",
"parameters": {
"assumed": true
}
}
Table III, column n_d (p. 606), at the d line (0.58756 um, Eq. 32; air or vacuum not stated): the input of Eq. (38), with the Abbe number (source notes); its source is not stated per glass (the Schott catalogue, Ref. 22, is cited for the parameters in general).
boling_1978/n2_measured_table1_FK-6#
{
"id": "n2_measured_table1_FK-6",
"material": "FK-6",
"file": "FK-6/boling_1978__n2_measured_table1_FK-6.csv",
"table": "tbl_1104b7cc486c",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "reproduced",
"reproduced_from": [
"A. Owyoung, R. W. Hellwarth, and N. George, \"Intensity induced changes in optical polarizations in glasses,\" Phys. Rev. B5, pp. 628-633, 1972; and A. Owyoung, \"Ellipse rotation studies in laser host materials,\" IEEE J. Quantum Electron., vol. QE-9, pp. 1064-1069, 1973",
"A. Owyoung, \"Nonlinear refractive index measurements in laser media,\" in Laser Induced Damage in Optical Materials, NBS Special Publication 387, A. J. Glass and A. H. Guenther, Eds. U.S. Govt. Printing Office: 1973"
],
"uncertainty": {
"relative": 0.07,
"level": "not stated"
},
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "unknown",
"coefficient": "self",
"technique": "ellipse rotation"
}
}
Table I, ‘10^13 n2 measured (esu)*’ (p. 603): ‘Calculated from results of ellipse rotation experiments [11],[12] by assuming that n2 is purely electronic in origin’ (footnote *). The experiments measured the symmetric combination (chi1111 + chi1221 + 2 chi1122)/6 ‘with +-7 percent precision’ (p. 603); these values are ‘neither the true values of n2, including all nuclear components, nor are they solely the electronic portion’ (p. 604): part unknown (source notes give the correction factors for five glasses). Wavelength not stated.
boling_1978/n2_calculated_table1_FK-6#
{
"id": "n2_calculated_table1_FK-6",
"material": "FK-6",
"file": "FK-6/boling_1978__n2_calculated_table1_FK-6.csv",
"table": "tbl_1104b7cc486c",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "electronic",
"coefficient": "self"
}
}
Table I, ‘10^13 n2 calculated’ (p. 603): ‘From equations (25) and (26), with (gs) = 3 and using a curve fitting procedure to obtain Ns and omega0’ (footnote dagger); the model’s ‘electronic contribution to n2’, whose fitted gs ‘partially accounts for the Raman component’ (p. 606). Formula bgo_oscillator; wavelength not stated (the long-wavelength limit).
boling_1978/n2_measured_table1_SiO2#
{
"id": "n2_measured_table1_SiO2",
"material": "SiO2",
"file": "SiO2/boling_1978__n2_measured_table1_SiO2.csv",
"table": "tbl_1104b7cc486c",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "reproduced",
"reproduced_from": [
"A. Owyoung, R. W. Hellwarth, and N. George, \"Intensity induced changes in optical polarizations in glasses,\" Phys. Rev. B5, pp. 628-633, 1972; and A. Owyoung, \"Ellipse rotation studies in laser host materials,\" IEEE J. Quantum Electron., vol. QE-9, pp. 1064-1069, 1973",
"A. Owyoung, \"Nonlinear refractive index measurements in laser media,\" in Laser Induced Damage in Optical Materials, NBS Special Publication 387, A. J. Glass and A. H. Guenther, Eds. U.S. Govt. Printing Office: 1973"
],
"uncertainty": {
"relative": 0.07,
"level": "not stated"
},
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "unknown",
"coefficient": "self",
"technique": "ellipse rotation"
}
}
Table I, ‘10^13 n2 measured (esu)*’ (p. 603): ‘Calculated from results of ellipse rotation experiments [11],[12] by assuming that n2 is purely electronic in origin’ (footnote *). The experiments measured the symmetric combination (chi1111 + chi1221 + 2 chi1122)/6 ‘with +-7 percent precision’ (p. 603); these values are ‘neither the true values of n2, including all nuclear components, nor are they solely the electronic portion’ (p. 604): part unknown (source notes give the correction factors for five glasses). Wavelength not stated.
boling_1978/n2_calculated_table1_SiO2#
{
"id": "n2_calculated_table1_SiO2",
"material": "SiO2",
"file": "SiO2/boling_1978__n2_calculated_table1_SiO2.csv",
"table": "tbl_1104b7cc486c",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "electronic",
"coefficient": "self"
}
}
Table I, ‘10^13 n2 calculated’ (p. 603): ‘From equations (25) and (26), with (gs) = 3 and using a curve fitting procedure to obtain Ns and omega0’ (footnote dagger); the model’s ‘electronic contribution to n2’, whose fitted gs ‘partially accounts for the Raman component’ (p. 606). Formula bgo_oscillator; wavelength not stated (the long-wavelength limit).
boling_1978/n2_measured_table1_BK7#
{
"id": "n2_measured_table1_BK7",
"material": "BK7",
"file": "BK7/boling_1978__n2_measured_table1_BK7.csv",
"table": "tbl_1104b7cc486c",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "reproduced",
"reproduced_from": [
"A. Owyoung, R. W. Hellwarth, and N. George, \"Intensity induced changes in optical polarizations in glasses,\" Phys. Rev. B5, pp. 628-633, 1972; and A. Owyoung, \"Ellipse rotation studies in laser host materials,\" IEEE J. Quantum Electron., vol. QE-9, pp. 1064-1069, 1973",
"A. Owyoung, \"Nonlinear refractive index measurements in laser media,\" in Laser Induced Damage in Optical Materials, NBS Special Publication 387, A. J. Glass and A. H. Guenther, Eds. U.S. Govt. Printing Office: 1973"
],
"uncertainty": {
"relative": 0.07,
"level": "not stated"
},
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "unknown",
"coefficient": "self",
"technique": "ellipse rotation"
}
}
Table I, ‘10^13 n2 measured (esu)*’ (p. 603): ‘Calculated from results of ellipse rotation experiments [11],[12] by assuming that n2 is purely electronic in origin’ (footnote *). The experiments measured the symmetric combination (chi1111 + chi1221 + 2 chi1122)/6 ‘with +-7 percent precision’ (p. 603); these values are ‘neither the true values of n2, including all nuclear components, nor are they solely the electronic portion’ (p. 604): part unknown (source notes give the correction factors for five glasses). Wavelength not stated.
boling_1978/n2_calculated_table1_BK7#
{
"id": "n2_calculated_table1_BK7",
"material": "BK7",
"file": "BK7/boling_1978__n2_calculated_table1_BK7.csv",
"table": "tbl_1104b7cc486c",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "electronic",
"coefficient": "self"
}
}
Table I, ‘10^13 n2 calculated’ (p. 603): ‘From equations (25) and (26), with (gs) = 3 and using a curve fitting procedure to obtain Ns and omega0’ (footnote dagger); the model’s ‘electronic contribution to n2’, whose fitted gs ‘partially accounts for the Raman component’ (p. 606). Formula bgo_oscillator; wavelength not stated (the long-wavelength limit).
boling_1978/n2_measured_table1_LSO#
{
"id": "n2_measured_table1_LSO",
"material": "LSO",
"file": "LSO/boling_1978__n2_measured_table1_LSO.csv",
"table": "tbl_1104b7cc486c",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "reproduced",
"reproduced_from": [
"A. Owyoung, R. W. Hellwarth, and N. George, \"Intensity induced changes in optical polarizations in glasses,\" Phys. Rev. B5, pp. 628-633, 1972; and A. Owyoung, \"Ellipse rotation studies in laser host materials,\" IEEE J. Quantum Electron., vol. QE-9, pp. 1064-1069, 1973",
"A. Owyoung, \"Nonlinear refractive index measurements in laser media,\" in Laser Induced Damage in Optical Materials, NBS Special Publication 387, A. J. Glass and A. H. Guenther, Eds. U.S. Govt. Printing Office: 1973"
],
"uncertainty": {
"relative": 0.07,
"level": "not stated"
},
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "unknown",
"coefficient": "self",
"technique": "ellipse rotation"
}
}
Table I, ‘10^13 n2 measured (esu)*’ (p. 603): ‘Calculated from results of ellipse rotation experiments [11],[12] by assuming that n2 is purely electronic in origin’ (footnote *). The experiments measured the symmetric combination (chi1111 + chi1221 + 2 chi1122)/6 ‘with +-7 percent precision’ (p. 603); these values are ‘neither the true values of n2, including all nuclear components, nor are they solely the electronic portion’ (p. 604): part unknown (source notes give the correction factors for five glasses). Wavelength not stated.
boling_1978/n2_calculated_table1_LSO#
{
"id": "n2_calculated_table1_LSO",
"material": "LSO",
"file": "LSO/boling_1978__n2_calculated_table1_LSO.csv",
"table": "tbl_1104b7cc486c",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "electronic",
"coefficient": "self"
}
}
Table I, ‘10^13 n2 calculated’ (p. 603): ‘From equations (25) and (26), with (gs) = 3 and using a curve fitting procedure to obtain Ns and omega0’ (footnote dagger); the model’s ‘electronic contribution to n2’, whose fitted gs ‘partially accounts for the Raman component’ (p. 606). Formula bgo_oscillator; wavelength not stated (the long-wavelength limit).
boling_1978/n2_measured_table1_ED-4#
{
"id": "n2_measured_table1_ED-4",
"material": "ED-4",
"file": "ED-4/boling_1978__n2_measured_table1_ED-4.csv",
"table": "tbl_1104b7cc486c",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "reproduced",
"reproduced_from": [
"A. Owyoung, R. W. Hellwarth, and N. George, \"Intensity induced changes in optical polarizations in glasses,\" Phys. Rev. B5, pp. 628-633, 1972; and A. Owyoung, \"Ellipse rotation studies in laser host materials,\" IEEE J. Quantum Electron., vol. QE-9, pp. 1064-1069, 1973",
"A. Owyoung, \"Nonlinear refractive index measurements in laser media,\" in Laser Induced Damage in Optical Materials, NBS Special Publication 387, A. J. Glass and A. H. Guenther, Eds. U.S. Govt. Printing Office: 1973"
],
"uncertainty": {
"relative": 0.07,
"level": "not stated"
},
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "unknown",
"coefficient": "self",
"technique": "ellipse rotation"
}
}
Table I, ‘10^13 n2 measured (esu)*’ (p. 603): ‘Calculated from results of ellipse rotation experiments [11],[12] by assuming that n2 is purely electronic in origin’ (footnote *). The experiments measured the symmetric combination (chi1111 + chi1221 + 2 chi1122)/6 ‘with +-7 percent precision’ (p. 603); these values are ‘neither the true values of n2, including all nuclear components, nor are they solely the electronic portion’ (p. 604): part unknown (source notes give the correction factors for five glasses). Wavelength not stated.
boling_1978/n2_calculated_table1_ED-4#
{
"id": "n2_calculated_table1_ED-4",
"material": "ED-4",
"file": "ED-4/boling_1978__n2_calculated_table1_ED-4.csv",
"table": "tbl_1104b7cc486c",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "electronic",
"coefficient": "self"
}
}
Table I, ‘10^13 n2 calculated’ (p. 603): ‘From equations (25) and (26), with (gs) = 3 and using a curve fitting procedure to obtain Ns and omega0’ (footnote dagger); the model’s ‘electronic contribution to n2’, whose fitted gs ‘partially accounts for the Raman component’ (p. 606). Formula bgo_oscillator; wavelength not stated (the long-wavelength limit).
boling_1978/n2_measured_table1_EY-1#
{
"id": "n2_measured_table1_EY-1",
"material": "EY-1",
"file": "EY-1/boling_1978__n2_measured_table1_EY-1.csv",
"table": "tbl_1104b7cc486c",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "reproduced",
"reproduced_from": [
"A. Owyoung, R. W. Hellwarth, and N. George, \"Intensity induced changes in optical polarizations in glasses,\" Phys. Rev. B5, pp. 628-633, 1972; and A. Owyoung, \"Ellipse rotation studies in laser host materials,\" IEEE J. Quantum Electron., vol. QE-9, pp. 1064-1069, 1973",
"A. Owyoung, \"Nonlinear refractive index measurements in laser media,\" in Laser Induced Damage in Optical Materials, NBS Special Publication 387, A. J. Glass and A. H. Guenther, Eds. U.S. Govt. Printing Office: 1973"
],
"uncertainty": {
"relative": 0.07,
"level": "not stated"
},
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "unknown",
"coefficient": "self",
"technique": "ellipse rotation"
}
}
Table I, ‘10^13 n2 measured (esu)*’ (p. 603): ‘Calculated from results of ellipse rotation experiments [11],[12] by assuming that n2 is purely electronic in origin’ (footnote *). The experiments measured the symmetric combination (chi1111 + chi1221 + 2 chi1122)/6 ‘with +-7 percent precision’ (p. 603); these values are ‘neither the true values of n2, including all nuclear components, nor are they solely the electronic portion’ (p. 604): part unknown (source notes give the correction factors for five glasses). Wavelength not stated.
boling_1978/n2_calculated_table1_EY-1#
{
"id": "n2_calculated_table1_EY-1",
"material": "EY-1",
"file": "EY-1/boling_1978__n2_calculated_table1_EY-1.csv",
"table": "tbl_1104b7cc486c",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "electronic",
"coefficient": "self"
}
}
Table I, ‘10^13 n2 calculated’ (p. 603): ‘From equations (25) and (26), with (gs) = 3 and using a curve fitting procedure to obtain Ns and omega0’ (footnote dagger); the model’s ‘electronic contribution to n2’, whose fitted gs ‘partially accounts for the Raman component’ (p. 606). Formula bgo_oscillator; wavelength not stated (the long-wavelength limit).
boling_1978/n2_measured_table1_SF-7#
{
"id": "n2_measured_table1_SF-7",
"material": "SF-7",
"file": "SF-7/boling_1978__n2_measured_table1_SF-7.csv",
"table": "tbl_1104b7cc486c",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "reproduced",
"reproduced_from": [
"A. Owyoung, R. W. Hellwarth, and N. George, \"Intensity induced changes in optical polarizations in glasses,\" Phys. Rev. B5, pp. 628-633, 1972; and A. Owyoung, \"Ellipse rotation studies in laser host materials,\" IEEE J. Quantum Electron., vol. QE-9, pp. 1064-1069, 1973",
"A. Owyoung, \"Nonlinear refractive index measurements in laser media,\" in Laser Induced Damage in Optical Materials, NBS Special Publication 387, A. J. Glass and A. H. Guenther, Eds. U.S. Govt. Printing Office: 1973"
],
"uncertainty": {
"relative": 0.07,
"level": "not stated"
},
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "unknown",
"coefficient": "self",
"technique": "ellipse rotation"
}
}
Table I, ‘10^13 n2 measured (esu)*’ (p. 603): ‘Calculated from results of ellipse rotation experiments [11],[12] by assuming that n2 is purely electronic in origin’ (footnote *). The experiments measured the symmetric combination (chi1111 + chi1221 + 2 chi1122)/6 ‘with +-7 percent precision’ (p. 603); these values are ‘neither the true values of n2, including all nuclear components, nor are they solely the electronic portion’ (p. 604): part unknown (source notes give the correction factors for five glasses). Wavelength not stated.
boling_1978/n2_calculated_table1_SF-7#
{
"id": "n2_calculated_table1_SF-7",
"material": "SF-7",
"file": "SF-7/boling_1978__n2_calculated_table1_SF-7.csv",
"table": "tbl_1104b7cc486c",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "electronic",
"coefficient": "self"
}
}
Table I, ‘10^13 n2 calculated’ (p. 603): ‘From equations (25) and (26), with (gs) = 3 and using a curve fitting procedure to obtain Ns and omega0’ (footnote dagger); the model’s ‘electronic contribution to n2’, whose fitted gs ‘partially accounts for the Raman component’ (p. 606). Formula bgo_oscillator; wavelength not stated (the long-wavelength limit).
boling_1978/n2_measured_table1_LaK-3#
{
"id": "n2_measured_table1_LaK-3",
"material": "LaK-3",
"file": "LaK-3/boling_1978__n2_measured_table1_LaK-3.csv",
"table": "tbl_1104b7cc486c",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "reproduced",
"reproduced_from": [
"A. Owyoung, R. W. Hellwarth, and N. George, \"Intensity induced changes in optical polarizations in glasses,\" Phys. Rev. B5, pp. 628-633, 1972; and A. Owyoung, \"Ellipse rotation studies in laser host materials,\" IEEE J. Quantum Electron., vol. QE-9, pp. 1064-1069, 1973",
"A. Owyoung, \"Nonlinear refractive index measurements in laser media,\" in Laser Induced Damage in Optical Materials, NBS Special Publication 387, A. J. Glass and A. H. Guenther, Eds. U.S. Govt. Printing Office: 1973"
],
"uncertainty": {
"relative": 0.07,
"level": "not stated"
},
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "unknown",
"coefficient": "self",
"technique": "ellipse rotation"
}
}
Table I, ‘10^13 n2 measured (esu)*’ (p. 603): ‘Calculated from results of ellipse rotation experiments [11],[12] by assuming that n2 is purely electronic in origin’ (footnote *). The experiments measured the symmetric combination (chi1111 + chi1221 + 2 chi1122)/6 ‘with +-7 percent precision’ (p. 603); these values are ‘neither the true values of n2, including all nuclear components, nor are they solely the electronic portion’ (p. 604): part unknown (source notes give the correction factors for five glasses). Wavelength not stated.
boling_1978/n2_calculated_table1_LaK-3#
{
"id": "n2_calculated_table1_LaK-3",
"material": "LaK-3",
"file": "LaK-3/boling_1978__n2_calculated_table1_LaK-3.csv",
"table": "tbl_1104b7cc486c",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "electronic",
"coefficient": "self"
}
}
Table I, ‘10^13 n2 calculated’ (p. 603): ‘From equations (25) and (26), with (gs) = 3 and using a curve fitting procedure to obtain Ns and omega0’ (footnote dagger); the model’s ‘electronic contribution to n2’, whose fitted gs ‘partially accounts for the Raman component’ (p. 606). Formula bgo_oscillator; wavelength not stated (the long-wavelength limit).
boling_1978/n2_measured_table1_YAG#
{
"id": "n2_measured_table1_YAG",
"material": "YAG",
"file": "YAG/boling_1978__n2_measured_table1_YAG.csv",
"table": "tbl_1104b7cc486c",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "reproduced",
"reproduced_from": [
"A. Owyoung, R. W. Hellwarth, and N. George, \"Intensity induced changes in optical polarizations in glasses,\" Phys. Rev. B5, pp. 628-633, 1972; and A. Owyoung, \"Ellipse rotation studies in laser host materials,\" IEEE J. Quantum Electron., vol. QE-9, pp. 1064-1069, 1973",
"A. Owyoung, \"Nonlinear refractive index measurements in laser media,\" in Laser Induced Damage in Optical Materials, NBS Special Publication 387, A. J. Glass and A. H. Guenther, Eds. U.S. Govt. Printing Office: 1973"
],
"uncertainty": {
"relative": 0.07,
"level": "not stated"
},
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "unknown",
"coefficient": "self",
"technique": "ellipse rotation"
}
}
Table I, ‘10^13 n2 measured (esu)*’ (p. 603): ‘Calculated from results of ellipse rotation experiments [11],[12] by assuming that n2 is purely electronic in origin’ (footnote *). The experiments measured the symmetric combination (chi1111 + chi1221 + 2 chi1122)/6 ‘with +-7 percent precision’ (p. 603); these values are ‘neither the true values of n2, including all nuclear components, nor are they solely the electronic portion’ (p. 604): part unknown (source notes give the correction factors for five glasses). Wavelength not stated.
boling_1978/n2_calculated_table1_YAG#
{
"id": "n2_calculated_table1_YAG",
"material": "YAG",
"file": "YAG/boling_1978__n2_calculated_table1_YAG.csv",
"table": "tbl_1104b7cc486c",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "electronic",
"coefficient": "self"
}
}
Table I, ‘10^13 n2 calculated’ (p. 603): ‘From equations (25) and (26), with (gs) = 3 and using a curve fitting procedure to obtain Ns and omega0’ (footnote dagger); the model’s ‘electronic contribution to n2’, whose fitted gs ‘partially accounts for the Raman component’ (p. 606). Formula bgo_oscillator; wavelength not stated (the long-wavelength limit).
boling_1978/n2_measured_table1_LaSF-7#
{
"id": "n2_measured_table1_LaSF-7",
"material": "LaSF-7",
"file": "LaSF-7/boling_1978__n2_measured_table1_LaSF-7.csv",
"table": "tbl_1104b7cc486c",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "reproduced",
"reproduced_from": [
"A. Owyoung, R. W. Hellwarth, and N. George, \"Intensity induced changes in optical polarizations in glasses,\" Phys. Rev. B5, pp. 628-633, 1972; and A. Owyoung, \"Ellipse rotation studies in laser host materials,\" IEEE J. Quantum Electron., vol. QE-9, pp. 1064-1069, 1973",
"A. Owyoung, \"Nonlinear refractive index measurements in laser media,\" in Laser Induced Damage in Optical Materials, NBS Special Publication 387, A. J. Glass and A. H. Guenther, Eds. U.S. Govt. Printing Office: 1973"
],
"uncertainty": {
"relative": 0.07,
"level": "not stated"
},
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "unknown",
"coefficient": "self",
"technique": "ellipse rotation"
}
}
Table I, ‘10^13 n2 measured (esu)*’ (p. 603): ‘Calculated from results of ellipse rotation experiments [11],[12] by assuming that n2 is purely electronic in origin’ (footnote *). The experiments measured the symmetric combination (chi1111 + chi1221 + 2 chi1122)/6 ‘with +-7 percent precision’ (p. 603); these values are ‘neither the true values of n2, including all nuclear components, nor are they solely the electronic portion’ (p. 604): part unknown (source notes give the correction factors for five glasses). Wavelength not stated.
boling_1978/n2_calculated_table1_LaSF-7#
{
"id": "n2_calculated_table1_LaSF-7",
"material": "LaSF-7",
"file": "LaSF-7/boling_1978__n2_calculated_table1_LaSF-7.csv",
"table": "tbl_1104b7cc486c",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "electronic",
"coefficient": "self"
}
}
Table I, ‘10^13 n2 calculated’ (p. 603): ‘From equations (25) and (26), with (gs) = 3 and using a curve fitting procedure to obtain Ns and omega0’ (footnote dagger); the model’s ‘electronic contribution to n2’, whose fitted gs ‘partially accounts for the Raman component’ (p. 606). Formula bgo_oscillator; wavelength not stated (the long-wavelength limit).
boling_1978/n2_calculated_table3_silicate_boling_1978#
{
"id": "n2_calculated_table3_silicate_boling_1978",
"material": "silicate_boling_1978",
"file": "silicate_boling_1978/boling_1978__n2_calculated_table3_silicate_boling_1978.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-23,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "electronic",
"coefficient": "self"
}
}
Table III, ‘n2 calc x 10^23*’ (p. 606): ‘Calculated using the Abbe number formula (38)’ (footnote *), formula bgo_abbe, from the n_d and nu_d of the same row. The header’s 10^23 is a misprint for 10^13 (scale erratum). Wavelength not stated (the long-wavelength limit).
boling_1978/n2_measured_table3_silicate_boling_1978#
{
"id": "n2_measured_table3_silicate_boling_1978",
"material": "silicate_boling_1978",
"file": "silicate_boling_1978/boling_1978__n2_measured_table3_silicate_boling_1978.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "reproduced",
"reproduced_from": [
"D. Milam and M. J. Weber, \"Measurement of nonlinear refractive index coefficients using time resolved interferometry: Application to optical materials for high power neodymium lasers,\" J. Appl. Phys., vol. 47, pp. 2497-2501, 1976",
"D. Milam, M. J. Weber, and A. J. Glass, \"Nonlinear refractive index of fluoride crystals,\" Appl. Phys. Lett., to be published"
],
"uncertainty": {
"column": true,
"level": "not stated"
},
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "total",
"coefficient": "self",
"technique": "time-resolved interferometry"
}
}
Table III, ‘n2 exper x 10^13 dagger’ with its +- (p. 606): ‘Measured by interferometric technique [14],[15]’ (footnote dagger), Milam and Weber’s time-resolved interferometry, which ‘yield total values of n2, including both electronic and nuclear components’ (p. 606): part total. Wavelength not stated here (adair_1989’s Table III gives the same TRI references at 1.06 um).
boling_1978/n2_calculated_table3_EY-1#
{
"id": "n2_calculated_table3_EY-1",
"material": "EY-1",
"file": "EY-1/boling_1978__n2_calculated_table3_EY-1.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-23,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "electronic",
"coefficient": "self"
}
}
Table III, ‘n2 calc x 10^23*’ (p. 606): ‘Calculated using the Abbe number formula (38)’ (footnote *), formula bgo_abbe, from the n_d and nu_d of the same row. The header’s 10^23 is a misprint for 10^13 (scale erratum). Wavelength not stated (the long-wavelength limit).
boling_1978/n2_measured_table3_EY-1#
{
"id": "n2_measured_table3_EY-1",
"material": "EY-1",
"file": "EY-1/boling_1978__n2_measured_table3_EY-1.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "reproduced",
"reproduced_from": [
"D. Milam and M. J. Weber, \"Measurement of nonlinear refractive index coefficients using time resolved interferometry: Application to optical materials for high power neodymium lasers,\" J. Appl. Phys., vol. 47, pp. 2497-2501, 1976",
"D. Milam, M. J. Weber, and A. J. Glass, \"Nonlinear refractive index of fluoride crystals,\" Appl. Phys. Lett., to be published"
],
"uncertainty": {
"column": true,
"level": "not stated"
},
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "total",
"coefficient": "self",
"technique": "time-resolved interferometry"
}
}
Table III, ‘n2 exper x 10^13 dagger’ with its +- (p. 606): ‘Measured by interferometric technique [14],[15]’ (footnote dagger), Milam and Weber’s time-resolved interferometry, which ‘yield total values of n2, including both electronic and nuclear components’ (p. 606): part total. Wavelength not stated here (adair_1989’s Table III gives the same TRI references at 1.06 um). The same value is in weber_1978 Table 1: EY-1 4.57 +- 0.77 x 10^-20 m^2/W, n_D 1.626, reference d (Bliss, Speck and Simmons, Appl. Phys. Lett. 25, 728 (1974)): 1.773 +- 0.299 x 10^-13 esu by Eq. (18), so this row is Bliss et al.’s measurement, not Milam and Weber’s (computed 2026-09-27).
boling_1978/n2_calculated_table3_FR-5#
{
"id": "n2_calculated_table3_FR-5",
"material": "FR-5",
"file": "FR-5/boling_1978__n2_calculated_table3_FR-5.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-23,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "electronic",
"coefficient": "self"
}
}
Table III, ‘n2 calc x 10^23*’ (p. 606): ‘Calculated using the Abbe number formula (38)’ (footnote *), formula bgo_abbe, from the n_d and nu_d of the same row. The header’s 10^23 is a misprint for 10^13 (scale erratum). Wavelength not stated (the long-wavelength limit).
boling_1978/n2_measured_table3_FR-5#
{
"id": "n2_measured_table3_FR-5",
"material": "FR-5",
"file": "FR-5/boling_1978__n2_measured_table3_FR-5.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "reproduced",
"reproduced_from": [
"milam_1976"
],
"uncertainty": {
"column": true,
"level": "not stated"
},
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "total",
"coefficient": "self",
"technique": "time-resolved interferometry"
}
}
Table III, ‘n2 exper x 10^13 dagger’ with its +- (p. 606): ‘Measured by interferometric technique [14],[15]’ (footnote dagger), Milam and Weber’s time-resolved interferometry, which ‘yield total values of n2, including both electronic and nuclear components’ (p. 606): part total. Wavelength not stated here (adair_1989’s Table III gives the same TRI references at 1.06 um). The original is milam_1976 Table I (Hoya FR-5, 2.1 +- 0.4 x 10^-13 esu at 1064 nm, 125-ps pulses, linear polarization): agrees with the printed 2.1 +- 0.4.
boling_1978/n2_calculated_table3_ED-2#
{
"id": "n2_calculated_table3_ED-2",
"material": "ED-2",
"file": "ED-2/boling_1978__n2_calculated_table3_ED-2.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-23,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "electronic",
"coefficient": "self"
}
}
Table III, ‘n2 calc x 10^23*’ (p. 606): ‘Calculated using the Abbe number formula (38)’ (footnote *), formula bgo_abbe, from the n_d and nu_d of the same row. The header’s 10^23 is a misprint for 10^13 (scale erratum). Wavelength not stated (the long-wavelength limit).
boling_1978/n2_measured_table3_ED-2#
{
"id": "n2_measured_table3_ED-2",
"material": "ED-2",
"file": "ED-2/boling_1978__n2_measured_table3_ED-2.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "reproduced",
"reproduced_from": [
"milam_1976"
],
"uncertainty": {
"column": true,
"level": "not stated"
},
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "total",
"coefficient": "self",
"technique": "time-resolved interferometry"
}
}
Table III, ‘n2 exper x 10^13 dagger’ with its +- (p. 606): ‘Measured by interferometric technique [14],[15]’ (footnote dagger), Milam and Weber’s time-resolved interferometry, which ‘yield total values of n2, including both electronic and nuclear components’ (p. 606): part total. Wavelength not stated here (adair_1989’s Table III gives the same TRI references at 1.06 um). The original is milam_1976 Table I (Owens-Illinois ED-2, 1.41 +- 0.14 x 10^-13 esu at 1064 nm, 125-ps pulses, linear polarization): agrees with the printed 1.41 +- 0.14.
boling_1978/n2_calculated_table3_LHG-5#
{
"id": "n2_calculated_table3_LHG-5",
"material": "LHG-5",
"file": "LHG-5/boling_1978__n2_calculated_table3_LHG-5.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-23,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "electronic",
"coefficient": "self"
}
}
Table III, ‘n2 calc x 10^23*’ (p. 606): ‘Calculated using the Abbe number formula (38)’ (footnote *), formula bgo_abbe, from the n_d and nu_d of the same row. The header’s 10^23 is a misprint for 10^13 (scale erratum). Wavelength not stated (the long-wavelength limit).
boling_1978/n2_measured_table3_LHG-5#
{
"id": "n2_measured_table3_LHG-5",
"material": "LHG-5",
"file": "LHG-5/boling_1978__n2_measured_table3_LHG-5.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "reproduced",
"reproduced_from": [
"D. Milam and M. J. Weber, \"Measurement of nonlinear refractive index coefficients using time resolved interferometry: Application to optical materials for high power neodymium lasers,\" J. Appl. Phys., vol. 47, pp. 2497-2501, 1976",
"D. Milam, M. J. Weber, and A. J. Glass, \"Nonlinear refractive index of fluoride crystals,\" Appl. Phys. Lett., to be published"
],
"uncertainty": {
"column": true,
"level": "not stated"
},
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "total",
"coefficient": "self",
"technique": "time-resolved interferometry"
}
}
Table III, ‘n2 exper x 10^13 dagger’ with its +- (p. 606): ‘Measured by interferometric technique [14],[15]’ (footnote dagger), Milam and Weber’s time-resolved interferometry, which ‘yield total values of n2, including both electronic and nuclear components’ (p. 606): part total. Wavelength not stated here (adair_1989’s Table III gives the same TRI references at 1.06 um). The same value is in weber_1978 Table 1: LHG-5 3.15 +- 0.32 x 10^-20 m^2/W, n_D 1.541, reference e (Milam and Weber, IEEE J. Quantum Electron. QE-12, 512 (1976)): 1.158 +- 0.118 x 10^-13 esu by Eq. (18) (computed 2026-09-27).
boling_1978/n2_calculated_table3_BK7#
{
"id": "n2_calculated_table3_BK7",
"material": "BK7",
"file": "BK7/boling_1978__n2_calculated_table3_BK7.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-23,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "electronic",
"coefficient": "self"
}
}
Table III, ‘n2 calc x 10^23*’ (p. 606): ‘Calculated using the Abbe number formula (38)’ (footnote *), formula bgo_abbe, from the n_d and nu_d of the same row. The header’s 10^23 is a misprint for 10^13 (scale erratum). Wavelength not stated (the long-wavelength limit).
boling_1978/n2_measured_table3_BK7#
{
"id": "n2_measured_table3_BK7",
"material": "BK7",
"file": "BK7/boling_1978__n2_measured_table3_BK7.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "reproduced",
"reproduced_from": [
"milam_1976"
],
"uncertainty": {
"column": true,
"level": "not stated"
},
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "total",
"coefficient": "self",
"technique": "time-resolved interferometry"
}
}
Table III, ‘n2 exper x 10^13 dagger’ with its +- (p. 606): ‘Measured by interferometric technique [14],[15]’ (footnote dagger), Milam and Weber’s time-resolved interferometry, which ‘yield total values of n2, including both electronic and nuclear components’ (p. 606): part total. Wavelength not stated here (adair_1989’s Table III gives the same TRI references at 1.06 um). The original is milam_1976 Table I (Schott BK 7, 1.24 +- 0.12 x 10^-13 esu at 1064 nm, 125-ps pulses, linear polarization): agrees with the printed 1.24 +- 0.12.
boling_1978/n2_calculated_table3_LHG-6#
{
"id": "n2_calculated_table3_LHG-6",
"material": "LHG-6",
"file": "LHG-6/boling_1978__n2_calculated_table3_LHG-6.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-23,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "electronic",
"coefficient": "self"
}
}
Table III, ‘n2 calc x 10^23*’ (p. 606): ‘Calculated using the Abbe number formula (38)’ (footnote *), formula bgo_abbe, from the n_d and nu_d of the same row. The header’s 10^23 is a misprint for 10^13 (scale erratum). Wavelength not stated (the long-wavelength limit).
boling_1978/n2_measured_table3_LHG-6#
{
"id": "n2_measured_table3_LHG-6",
"material": "LHG-6",
"file": "LHG-6/boling_1978__n2_measured_table3_LHG-6.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "reproduced",
"reproduced_from": [
"D. Milam and M. J. Weber, \"Measurement of nonlinear refractive index coefficients using time resolved interferometry: Application to optical materials for high power neodymium lasers,\" J. Appl. Phys., vol. 47, pp. 2497-2501, 1976",
"D. Milam, M. J. Weber, and A. J. Glass, \"Nonlinear refractive index of fluoride crystals,\" Appl. Phys. Lett., to be published"
],
"uncertainty": {
"column": true,
"level": "not stated"
},
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "total",
"coefficient": "self",
"technique": "time-resolved interferometry"
}
}
Table III, ‘n2 exper x 10^13 dagger’ with its +- (p. 606): ‘Measured by interferometric technique [14],[15]’ (footnote dagger), Milam and Weber’s time-resolved interferometry, which ‘yield total values of n2, including both electronic and nuclear components’ (p. 606): part total. Wavelength not stated here (adair_1989’s Table III gives the same TRI references at 1.06 um). The same value is in weber_1978 Table 1: LHG-6 2.76 +- 0.28 x 10^-20 m^2/W, n_D 1.532, reference e (Milam and Weber, IEEE J. Quantum Electron. QE-12, 512 (1976)): 1.009 +- 0.102 x 10^-13 esu by Eq. (18) (computed 2026-09-27).
boling_1978/n2_calculated_table3_EV-1#
{
"id": "n2_calculated_table3_EV-1",
"material": "EV-1",
"file": "EV-1/boling_1978__n2_calculated_table3_EV-1.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-23,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "electronic",
"coefficient": "self"
}
}
Table III, ‘n2 calc x 10^23*’ (p. 606): ‘Calculated using the Abbe number formula (38)’ (footnote *), formula bgo_abbe, from the n_d and nu_d of the same row. The header’s 10^23 is a misprint for 10^13 (scale erratum). Wavelength not stated (the long-wavelength limit).
boling_1978/n2_measured_table3_EV-1#
{
"id": "n2_measured_table3_EV-1",
"material": "EV-1",
"file": "EV-1/boling_1978__n2_measured_table3_EV-1.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "reproduced",
"reproduced_from": [
"D. Milam and M. J. Weber, \"Measurement of nonlinear refractive index coefficients using time resolved interferometry: Application to optical materials for high power neodymium lasers,\" J. Appl. Phys., vol. 47, pp. 2497-2501, 1976",
"D. Milam, M. J. Weber, and A. J. Glass, \"Nonlinear refractive index of fluoride crystals,\" Appl. Phys. Lett., to be published"
],
"uncertainty": {
"column": true,
"level": "not stated"
},
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "total",
"coefficient": "self",
"technique": "time-resolved interferometry"
}
}
Table III, ‘n2 exper x 10^13 dagger’ with its +- (p. 606): ‘Measured by interferometric technique [14],[15]’ (footnote dagger), Milam and Weber’s time-resolved interferometry, which ‘yield total values of n2, including both electronic and nuclear components’ (p. 606): part total. Wavelength not stated here (adair_1989’s Table III gives the same TRI references at 1.06 um). The same value is in weber_1978 Table 1: EV-1 2.53 +- 0.25 x 10^-20 m^2/W, n_D 1.507, reference e (Milam and Weber, IEEE J. Quantum Electron. QE-12, 512 (1976)): 0.910 +- 0.090 x 10^-13 esu by Eq. (18), which confirms the erratum 0.9 -> 0.09 (computed 2026-09-27).
boling_1978/n2_calculated_table3_SiO2#
{
"id": "n2_calculated_table3_SiO2",
"material": "SiO2",
"file": "SiO2/boling_1978__n2_calculated_table3_SiO2.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-23,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "electronic",
"coefficient": "self"
}
}
Table III, ‘n2 calc x 10^23*’ (p. 606): ‘Calculated using the Abbe number formula (38)’ (footnote *), formula bgo_abbe, from the n_d and nu_d of the same row. The header’s 10^23 is a misprint for 10^13 (scale erratum). Wavelength not stated (the long-wavelength limit).
boling_1978/n2_measured_table3_SiO2#
{
"id": "n2_measured_table3_SiO2",
"material": "SiO2",
"file": "SiO2/boling_1978__n2_measured_table3_SiO2.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "reproduced",
"reproduced_from": [
"milam_1976"
],
"uncertainty": {
"column": true,
"level": "not stated"
},
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "total",
"coefficient": "self",
"technique": "time-resolved interferometry"
}
}
Table III, ‘n2 exper x 10^13 dagger’ with its +- (p. 606): ‘Measured by interferometric technique [14],[15]’ (footnote dagger), Milam and Weber’s time-resolved interferometry, which ‘yield total values of n2, including both electronic and nuclear components’ (p. 606): part total. Wavelength not stated here (adair_1989’s Table III gives the same TRI references at 1.06 um). The original is milam_1976 Table I (Dynasil 4000, 0.95 +- 0.10 x 10^-13 esu at 1064 nm, 125-ps pulses, linear polarization): agrees with the printed 0.95 +- 0.10.
boling_1978/n2_calculated_table3_FK-5#
{
"id": "n2_calculated_table3_FK-5",
"material": "FK-5",
"file": "FK-5/boling_1978__n2_calculated_table3_FK-5.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-23,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "electronic",
"coefficient": "self"
}
}
Table III, ‘n2 calc x 10^23*’ (p. 606): ‘Calculated using the Abbe number formula (38)’ (footnote *), formula bgo_abbe, from the n_d and nu_d of the same row. The header’s 10^23 is a misprint for 10^13 (scale erratum). Wavelength not stated (the long-wavelength limit).
boling_1978/n2_measured_table3_FK-5#
{
"id": "n2_measured_table3_FK-5",
"material": "FK-5",
"file": "FK-5/boling_1978__n2_measured_table3_FK-5.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "reproduced",
"reproduced_from": [
"milam_1976"
],
"uncertainty": {
"column": true,
"level": "not stated"
},
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "total",
"coefficient": "self",
"technique": "time-resolved interferometry"
}
}
Table III, ‘n2 exper x 10^13 dagger’ with its +- (p. 606): ‘Measured by interferometric technique [14],[15]’ (footnote dagger), Milam and Weber’s time-resolved interferometry, which ‘yield total values of n2, including both electronic and nuclear components’ (p. 606): part total. Wavelength not stated here (adair_1989’s Table III gives the same TRI references at 1.06 um). The original is milam_1976 Table I (Hoya ‘FC 5’, 1.07 +- 0.11 x 10^-13 esu at 1064 nm, 125-ps pulses, linear polarization): agrees with the printed 1.07 +- 0.11.
boling_1978/n2_calculated_table3_fluorophosphate_boling_1978#
{
"id": "n2_calculated_table3_fluorophosphate_boling_1978",
"material": "fluorophosphate_boling_1978",
"file": "fluorophosphate_boling_1978/boling_1978__n2_calculated_table3_fluorophosphate_boling_1978.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-23,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "electronic",
"coefficient": "self"
}
}
Table III, ‘n2 calc x 10^23*’ (p. 606): ‘Calculated using the Abbe number formula (38)’ (footnote *), formula bgo_abbe, from the n_d and nu_d of the same row. The header’s 10^23 is a misprint for 10^13 (scale erratum). Wavelength not stated (the long-wavelength limit).
boling_1978/n2_measured_table3_fluorophosphate_boling_1978#
{
"id": "n2_measured_table3_fluorophosphate_boling_1978",
"material": "fluorophosphate_boling_1978",
"file": "fluorophosphate_boling_1978/boling_1978__n2_measured_table3_fluorophosphate_boling_1978.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "reproduced",
"reproduced_from": [
"D. Milam and M. J. Weber, \"Measurement of nonlinear refractive index coefficients using time resolved interferometry: Application to optical materials for high power neodymium lasers,\" J. Appl. Phys., vol. 47, pp. 2497-2501, 1976",
"D. Milam, M. J. Weber, and A. J. Glass, \"Nonlinear refractive index of fluoride crystals,\" Appl. Phys. Lett., to be published"
],
"uncertainty": {
"column": true,
"level": "not stated"
},
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "total",
"coefficient": "self",
"technique": "time-resolved interferometry"
}
}
Table III, ‘n2 exper x 10^13 dagger’ with its +- (p. 606): ‘Measured by interferometric technique [14],[15]’ (footnote dagger), Milam and Weber’s time-resolved interferometry, which ‘yield total values of n2, including both electronic and nuclear components’ (p. 606): part total. Wavelength not stated here (adair_1989’s Table III gives the same TRI references at 1.06 um). The same value is in weber_1978 Table 1: A86-82 (fluorophosphate, n_D 1.492) 2.0 +- 0.4 x 10^-20 m^2/W, reference e (Milam and Weber, IEEE J. Quantum Electron. QE-12, 512 (1976)): 0.712 +- 0.142 x 10^-13 esu by Eq. (18), so this ‘fluoro-phosphate’ (n_d 1.492, nu_d 81) is presumably A86-82 (computed 2026-09-27).
boling_1978/n2_calculated_table3_FK-51#
{
"id": "n2_calculated_table3_FK-51",
"material": "FK-51",
"file": "FK-51/boling_1978__n2_calculated_table3_FK-51.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-23,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "electronic",
"coefficient": "self"
}
}
Table III, ‘n2 calc x 10^23*’ (p. 606): ‘Calculated using the Abbe number formula (38)’ (footnote *), formula bgo_abbe, from the n_d and nu_d of the same row. The header’s 10^23 is a misprint for 10^13 (scale erratum). Wavelength not stated (the long-wavelength limit).
boling_1978/n2_measured_table3_FK-51#
{
"id": "n2_measured_table3_FK-51",
"material": "FK-51",
"file": "FK-51/boling_1978__n2_measured_table3_FK-51.csv",
"table": "tbl_6d8d3f9d443b",
"quantity": "nonlinear_index_field",
"unit": "esu",
"scale": 1e-13,
"abscissa_unit": "nm",
"use": "reproduced",
"reproduced_from": [
"milam_1976"
],
"uncertainty": {
"column": true,
"level": "not stated"
},
"parameters": {
"definition": "n2 = (12 pi/n) chi(3)_1111 for the field E cos(wt) (Eqs. 1-8, pp. 601-602); n = n0 + n2 <E^2> is implied, not written",
"part": "total",
"coefficient": "self",
"technique": "time-resolved interferometry"
}
}
Table III, ‘n2 exper x 10^13 dagger’ with its +- (p. 606): ‘Measured by interferometric technique [14],[15]’ (footnote dagger), Milam and Weber’s time-resolved interferometry, which ‘yield total values of n2, including both electronic and nuclear components’ (p. 606): part total. Wavelength not stated here (adair_1989’s Table III gives the same TRI references at 1.06 um). The original is milam_1976 Table I (Schott FK 51, 0.69 +- 0.07 x 10^-13 esu at 1064 nm, 125-ps pulses, linear polarization): agrees with the printed 0.69 +- 0.07.
Formulas#
boling_1978/bgo_oscillator#
{
"id": "bgo_oscillator",
"equation": "Eqs. (25)-(26), p. 603",
"printed": "n2 = (gs) (n^2 + 2)^2 (n^2 - 1)^2 / (48 pi n hbar omega0 (Ns)), with (4 pi/3) (n^2 + 2)/(n^2 - 1) = 1/(N alpha) = (omega0^2 - omega^2) / ((e^2/m) (Ns))",
"variable": "n the linear index; omega0 and Ns the resonance frequency and the product of the number density and oscillator strength of the one dominant constituent, from a least-squares Clausius-Mossotti fit of the dispersion (Eq. 26); Gaussian units, n2 in esu",
"coefficients": {
"gs": "3"
},
"check": "Not reproducible here: Table I's calculated column needs each glass's fitted omega0, which the paper does not give (Ns is in Table II for six of them) (checked 2026-09-26)."
}
gs = 3 ‘was determined to yield the best fit’ to the oxide-glass ellipse-rotation n2 (p. 603); with s ~ 3 (Table II) this is g = 1. The n2 it gives is ‘the electronic contribution’, though the fitted gs absorbs part of the Raman one (p. 606).
boling_1978/bgo_abbe#
{
"id": "bgo_abbe",
"equation": "Eq. (38), p. 605",
"printed": "n2 (10^-13 ESU) = 68 (n_d - 1) (n_d^2 + 2)^2 / ( nu_d [1.517 + (n_d^2 + 2)(n_d + 1) nu_d / (6 n_d)]^(1/2) )",
"variable": "n_d the index at the d line (0.58756 um), nu_d = (n_d - 1)/(n_F - n_C) the Abbe number (Eqs. 31-32); n2 in 10^-13 esu",
"coefficients": {
"K": "68",
"constant": "1.517"
},
"check": "Reproduces Table III's calculated column (p. 606) from its printed n_d and nu_d to within 0.4 % for eleven of the twelve glasses (e.g. FK-51 0.699 vs 0.70, silicate 8.305 vs 8.31); fused silica gives 0.833 against the printed 0.87 (-4.3 %): the printed nu_d = 70 does not reproduce it, a nu_d of about 68 would (computed 2026-09-26; which input the authors used is not known)."
}
The ‘Abbe number formula’, from Eq. (37) with the standard wavelengths and gs = 3 (Ref. 21, Glass, UCRL-50021-72, 1975). Adair et al. 1989 print it as their Eq. (6) with K = 68 and refit K = 48 for crystals (adair_1989); White et al. 1984 used it for BK-10 (white_1984). The general form, Eq. (37): n2 = (gs)(e^2/6m)/(omega_F^2 - omega_C^2) (n_d^2 + 2)^2 (n_d - 1)/(hbar nu_d) [omega_d^2 + (nu/6)(omega_F^2 - omega_C^2)(n_d^2 + 2)(n_d + 1)/n_d]^(-1/2).
boling_1978/empirical_39#
{
"id": "empirical_39",
"equation": "Eq. (39), p. 606",
"printed": "n2 (10^-13 ESU) = 391 (n_d - 1) / nu_d^(5/4)",
"variable": "n_d, nu_d as in Eq. (38); n2 in 10^-13 esu",
"coefficients": {
"A": "391"
},
"check": "No value computed from it is printed (only Fig. 3). Against Table III's measured values it gives, e.g., fused silica 0.88 (measured 0.95 +- 0.10), BK-7 1.12 (1.24 +- 0.12), silicate 4.89 (4.4 +- 0.7) (computed 2026-09-26)."
}
‘it is not difficult to generate, by simple examination of data, a function of nu_d and n_d involving only one constant that fits experimental data better than any of the derived expressions. One such function is’ (p. 606): a fit, not a model.
Corrections#
[
{
"dataset": "n2_calculated_table3_silicate_boling_1978",
"row": "",
"column": "scale",
"printed": "1e-23",
"corrected": "1e-13",
"reason": "Table III's header prints 'n2 calc x 10^23' (checked on the table image); the column is n2 in units of 1e-13 esu, like the measured column 'n2 exper x 10^13'.",
"evidence": "Eq. (38), which gives 'n2 (10^-13 ESU)' (p. 605), reproduces the column from the printed n_d and nu_d to within 0.4 % for eleven of the twelve glasses (computed 2026-09-26); Fig. 2 (p. 606) plots these values on the axis 'n2 (10^-13) CALCULATED'."
},
{
"dataset": "n2_calculated_table3_EY-1",
"row": "",
"column": "scale",
"printed": "1e-23",
"corrected": "1e-13",
"reason": "Table III's header prints 'n2 calc x 10^23' (checked on the table image); the column is n2 in units of 1e-13 esu, like the measured column 'n2 exper x 10^13'.",
"evidence": "Eq. (38), which gives 'n2 (10^-13 ESU)' (p. 605), reproduces the column from the printed n_d and nu_d to within 0.4 % for eleven of the twelve glasses (computed 2026-09-26); Fig. 2 (p. 606) plots these values on the axis 'n2 (10^-13) CALCULATED'."
},
{
"dataset": "n2_calculated_table3_FR-5",
"row": "",
"column": "scale",
"printed": "1e-23",
"corrected": "1e-13",
"reason": "Table III's header prints 'n2 calc x 10^23' (checked on the table image); the column is n2 in units of 1e-13 esu, like the measured column 'n2 exper x 10^13'.",
"evidence": "Eq. (38), which gives 'n2 (10^-13 ESU)' (p. 605), reproduces the column from the printed n_d and nu_d to within 0.4 % for eleven of the twelve glasses (computed 2026-09-26); Fig. 2 (p. 606) plots these values on the axis 'n2 (10^-13) CALCULATED'."
},
{
"dataset": "n2_calculated_table3_ED-2",
"row": "",
"column": "scale",
"printed": "1e-23",
"corrected": "1e-13",
"reason": "Table III's header prints 'n2 calc x 10^23' (checked on the table image); the column is n2 in units of 1e-13 esu, like the measured column 'n2 exper x 10^13'.",
"evidence": "Eq. (38), which gives 'n2 (10^-13 ESU)' (p. 605), reproduces the column from the printed n_d and nu_d to within 0.4 % for eleven of the twelve glasses (computed 2026-09-26); Fig. 2 (p. 606) plots these values on the axis 'n2 (10^-13) CALCULATED'."
},
{
"dataset": "n2_calculated_table3_LHG-5",
"row": "",
"column": "scale",
"printed": "1e-23",
"corrected": "1e-13",
"reason": "Table III's header prints 'n2 calc x 10^23' (checked on the table image); the column is n2 in units of 1e-13 esu, like the measured column 'n2 exper x 10^13'.",
"evidence": "Eq. (38), which gives 'n2 (10^-13 ESU)' (p. 605), reproduces the column from the printed n_d and nu_d to within 0.4 % for eleven of the twelve glasses (computed 2026-09-26); Fig. 2 (p. 606) plots these values on the axis 'n2 (10^-13) CALCULATED'."
},
{
"dataset": "n2_calculated_table3_BK7",
"row": "",
"column": "scale",
"printed": "1e-23",
"corrected": "1e-13",
"reason": "Table III's header prints 'n2 calc x 10^23' (checked on the table image); the column is n2 in units of 1e-13 esu, like the measured column 'n2 exper x 10^13'.",
"evidence": "Eq. (38), which gives 'n2 (10^-13 ESU)' (p. 605), reproduces the column from the printed n_d and nu_d to within 0.4 % for eleven of the twelve glasses (computed 2026-09-26); Fig. 2 (p. 606) plots these values on the axis 'n2 (10^-13) CALCULATED'."
},
{
"dataset": "n2_calculated_table3_LHG-6",
"row": "",
"column": "scale",
"printed": "1e-23",
"corrected": "1e-13",
"reason": "Table III's header prints 'n2 calc x 10^23' (checked on the table image); the column is n2 in units of 1e-13 esu, like the measured column 'n2 exper x 10^13'.",
"evidence": "Eq. (38), which gives 'n2 (10^-13 ESU)' (p. 605), reproduces the column from the printed n_d and nu_d to within 0.4 % for eleven of the twelve glasses (computed 2026-09-26); Fig. 2 (p. 606) plots these values on the axis 'n2 (10^-13) CALCULATED'."
},
{
"dataset": "n2_calculated_table3_EV-1",
"row": "",
"column": "scale",
"printed": "1e-23",
"corrected": "1e-13",
"reason": "Table III's header prints 'n2 calc x 10^23' (checked on the table image); the column is n2 in units of 1e-13 esu, like the measured column 'n2 exper x 10^13'.",
"evidence": "Eq. (38), which gives 'n2 (10^-13 ESU)' (p. 605), reproduces the column from the printed n_d and nu_d to within 0.4 % for eleven of the twelve glasses (computed 2026-09-26); Fig. 2 (p. 606) plots these values on the axis 'n2 (10^-13) CALCULATED'."
},
{
"dataset": "n2_calculated_table3_SiO2",
"row": "",
"column": "scale",
"printed": "1e-23",
"corrected": "1e-13",
"reason": "Table III's header prints 'n2 calc x 10^23' (checked on the table image); the column is n2 in units of 1e-13 esu, like the measured column 'n2 exper x 10^13'.",
"evidence": "Eq. (38), which gives 'n2 (10^-13 ESU)' (p. 605), reproduces the column from the printed n_d and nu_d to within 0.4 % for eleven of the twelve glasses (computed 2026-09-26); Fig. 2 (p. 606) plots these values on the axis 'n2 (10^-13) CALCULATED'."
},
{
"dataset": "n2_calculated_table3_FK-5",
"row": "",
"column": "scale",
"printed": "1e-23",
"corrected": "1e-13",
"reason": "Table III's header prints 'n2 calc x 10^23' (checked on the table image); the column is n2 in units of 1e-13 esu, like the measured column 'n2 exper x 10^13'.",
"evidence": "Eq. (38), which gives 'n2 (10^-13 ESU)' (p. 605), reproduces the column from the printed n_d and nu_d to within 0.4 % for eleven of the twelve glasses (computed 2026-09-26); Fig. 2 (p. 606) plots these values on the axis 'n2 (10^-13) CALCULATED'."
},
{
"dataset": "n2_calculated_table3_fluorophosphate_boling_1978",
"row": "",
"column": "scale",
"printed": "1e-23",
"corrected": "1e-13",
"reason": "Table III's header prints 'n2 calc x 10^23' (checked on the table image); the column is n2 in units of 1e-13 esu, like the measured column 'n2 exper x 10^13'.",
"evidence": "Eq. (38), which gives 'n2 (10^-13 ESU)' (p. 605), reproduces the column from the printed n_d and nu_d to within 0.4 % for eleven of the twelve glasses (computed 2026-09-26); Fig. 2 (p. 606) plots these values on the axis 'n2 (10^-13) CALCULATED'."
},
{
"dataset": "n2_calculated_table3_FK-51",
"row": "",
"column": "scale",
"printed": "1e-23",
"corrected": "1e-13",
"reason": "Table III's header prints 'n2 calc x 10^23' (checked on the table image); the column is n2 in units of 1e-13 esu, like the measured column 'n2 exper x 10^13'.",
"evidence": "Eq. (38), which gives 'n2 (10^-13 ESU)' (p. 605), reproduces the column from the printed n_d and nu_d to within 0.4 % for eleven of the twelve glasses (computed 2026-09-26); Fig. 2 (p. 606) plots these values on the axis 'n2 (10^-13) CALCULATED'."
},
{
"dataset": "n2_measured_table3_EV-1",
"row": "1",
"column": "sigma",
"printed": "0.9",
"corrected": "0.09",
"reason": "Table III prints EV-1's measured n2 as '0.91 +- 0.9' (checked on the image): a misplaced decimal point of the uncertainty.",
"evidence": "Fig. 2 (p. 606) plots EV-1 at a calculated 1.00 and a measured 0.91 with an error bar from about 0.83 to 1.01, i.e. +-0.09, not +-0.9 (which would run from 0.01 to 1.81 and is not drawn); every other row of the column carries about 10-20 %."
}
]
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.