bejot_2010#
P. Bejot, J. Kasparian, S. Henin, V. Loriot, T. Vieillard, E. Hertz, O. Faucher, B. Lavorel and J.-P. Wolf, Phys. Rev. Lett. 104, 103903 (2010)
Source record · Catalogue · Review register
DOI: 10.1103/physrevlett.104.103903
Source kind: theory
Recorded technique: Numerical filamentation simulations (scalar envelope NLSE with diffraction, GVD, instantaneous Kerr terms up to n8 (air) or n10 (Ar), plasma defocusing, inverse bremsstrahlung and multiphoton absorption; multi-species PPT ionisation) of a 1 mJ, 30 fs, 800 nm pulse focused by f = 1 m in 1 bar of air or argon, with the higher-order Kerr coefficients of Loriot et al. (2009) as corrected.
Materials in structured entries: Ar, N2, O2
Dataset quantities: nonlinear_index
Contents: 3 datasets; 0 formulas.
Curation notes#
The library’s first copy is the HAL author version (hal-00464524, 5 pages, submitted 17 Mar 2010); the second copy (Bejot_2010_HigherOrderKerr_c718b7) is the published PRL. Their Tables I and II are identical (both images checked) and the text is the same apart from copy-editing; the published copy’s table CSVs are garbled by the extraction, so the first copy’s are used.
Values: Table I (N2, O2, air ‘at 1 bar pressure, and interpolation to air, as used in the present work [17]’) and Table II (Ar at 1 bar); ref. [17] is Loriot et al., Opt. Express 17, 13429 (2009) with its erratum 18, 3011 (2010). ‘As compared with previously published data [17], we used values of the higher-order refractive indices (Table I) incorporating the correction for the coherent artifact [19] (Oudar, IEEE J. Quantum Electron. 19, 713, 1983), i.e. adequately subtracting [spelt with an extra s in the paper] its electronic contribution at play in the original measurement ... This correction results in dividing each n_2*j term by j + 1’ (p. 3); for argon ‘we refined the corresponding indices to take the coherent artifact into account’ (p. 4). The values equal the erratum’s (loriot_2010) to the printed digits, with a few rounded (n4 N2 -0.5 +- 0.27 against -0.53 +- 0.26; air n2 1.2 +- 0.23 against 1.2 +- 0.3) and the units rewritten: n2 10^-19 cm^2/W, n4 10^-33 cm^4/W^2, n6 10^-46 (Ar: 10^-45) cm^6/W^3, n8 10^-59 cm^8/W^4, n10 10^-74 cm^10/W^5. Only n2 is extracted, as reproduced from loriot_2009.
Convention (p. 2-3): Delta n_Kerr = n2 I + n4 I^2 + n6 I^3 + n8 I^4 + ... with ‘the n_2*j coefficients ... related to chi(2*j+1) susceptibilities’; the NLSE term is i (k0/n0) (sum_j n_2*j |eps|^(2j)) eps with |eps|^2 = I, so the coefficients are self (single-beam) coefficients. ‘Owing to the short pulse duration (30 fs) used in the simulations, the delayed orientational response is disregarded’ (p. 3).
Higher-order Kerr claim (notes only): with the Table I/II coefficients the higher-order terms, not the plasma, provide the main defocusing of filaments in air and argon at 800 nm (clamped intensity 31.6 against 78 TW/cm^2 in air, electron density 1.1e15 against 4.2e16 cm^-3; Ar 28.5 against 80.9 TW/cm^2). Higher orders as used: N2 n4 -0.5 +- 0.27, n6 1.4 +- 0.15, n8 -0.44 +- 0.04; O2 n4 -5.2 +- 0.5, n6 4.8 +- 0.5, n8 -2.1 +- 0.14; Ar n4 -0.37 +- 1, n6 0.4 +- 0.05 (x 10^-45), n8 -1.7 +- 0.1, n10 8.8 +- 0.5 (units above). Status: refuted (see loriot_2009’s notes: Wahlstrand et al. 2013 explain the measured inversion as a plasma-grating artefact; Wahlstrand et al. 2012 and 2018 measure a response linear in intensity up to ionisation). Not to be used.
Recorded bibliographic identity status: VALIDATED_WITH_WARNINGS. This concerns identification of the source; it does not establish the scientific correctness of its contents.
Datasets#
bejot_2010/n2_N2#
{
"id": "n2_N2",
"material": "N2",
"file": "N2/bejot_2010__n2_N2.csv",
"table": "tbl_994ad741fed5",
"quantity": "nonlinear_index",
"unit": "cm2/W",
"scale": 1e-19,
"abscissa_unit": "nm",
"state": {
"pressure_pa": 100000.0,
"temperature_k": 293.15
},
"use": "reproduced",
"reproduced_from": [
"loriot_2009"
],
"uncertainty": {
"column": true,
"level": "not stated"
},
"parameters": {
"part": "instantaneous",
"coefficient": "self",
"pulse_fs": 90
}
}
Table I, n2 of N2 at 1 bar (temperature not stated; 293.15 K as in loriot_2009): Loriot’s value after the erratum’s division by 2.
bejot_2010/n2_O2#
{
"id": "n2_O2",
"material": "O2",
"file": "O2/bejot_2010__n2_O2.csv",
"table": "tbl_994ad741fed5",
"quantity": "nonlinear_index",
"unit": "cm2/W",
"scale": 1e-19,
"abscissa_unit": "nm",
"state": {
"pressure_pa": 100000.0,
"temperature_k": 293.15
},
"use": "reproduced",
"reproduced_from": [
"loriot_2009"
],
"uncertainty": {
"column": true,
"level": "not stated"
},
"parameters": {
"part": "instantaneous",
"coefficient": "self",
"pulse_fs": 90
}
}
Table I, n2 of O2 at 1 bar (temperature not stated; 293.15 K as in loriot_2009): Loriot’s value after the erratum’s division by 2 (1.60 printed 1.6).
bejot_2010/n2_Ar#
{
"id": "n2_Ar",
"material": "Ar",
"file": "Ar/bejot_2010__n2_Ar.csv",
"table": "tbl_c5fc8d94f60e",
"quantity": "nonlinear_index",
"unit": "cm2/W",
"scale": 1e-19,
"abscissa_unit": "nm",
"state": {
"pressure_pa": 100000.0,
"temperature_k": 293.15
},
"use": "reproduced",
"reproduced_from": [
"loriot_2009"
],
"uncertainty": {
"column": true,
"level": "not stated"
},
"parameters": {
"part": "electronic",
"coefficient": "self",
"pulse_fs": 90
}
}
Table II, n2 of Ar at 1 bar (temperature not stated; 293.15 K as in loriot_2009): Loriot’s value after the erratum’s division by 2 (1.00 printed 1.0).
Formulas#
No formulas are recorded.
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.