bejot_2010_hollow#

P. Bejot, B. E. Schmidt, J. Kasparian, J.-P. Wolf and F. Legare, Phys. Rev. A 81, 063828 (2010)

Source record · Catalogue · Review register

Source kind: theory

Recorded technique: One-dimensional NLSE simulation (dispersion from an argon Sellmeier at 1 bar scaled by n(p) = sqrt(1 + p [n(p = 1)^2 - 1]), self-steepening, instantaneous Kerr terms n2 ... n10, fibre loss) of hollow-core-fibre compression of 1.83 um, 73 fs, 0.82 mJ OPA pulses in 1.4 bar of argon (400 um core, 1 m), compared with the experiment of their ref. 12.

Materials in structured entries: Ar

Dataset quantities: nonlinear_index

Contents: 1 dataset; 0 formulas.

Curation notes#

Table I (‘Nonlinear indexes of argon at 1.83 um used in the model (p accounts for the relative gas pressure: p = P / 1 bar)’; tbl_0df301bb6004, checked against the image): n2 9.73p x 10^-24 m^2/W, n4 -3.55p x 10^-42 m^4/W^2, n6 3.78p x 10^-58 m^6/W^3, n8 -1.59p x 10^-75 m^8/W^4, n10 8.10p x 10^-94 m^10/W^5, fibre loss alpha 0.43p m^-1. Source (p. 2): ‘The n_2m coefficients ... have been reported in a recent article [17] (Loriot et al. 2009 with erratum) at 800 nm. We then extrapolated these indexes at 1.83 um by using generalized Miller formulas [18] (Ettoumi et al. 2010)’. Eq. (1): Delta n = sum_(m=1..5) n_2m |eps|^(2m), with |eps|^2 the intensity (self coefficients).

Check (2026-09-26): Ettoumi’s Eq. (29), n_2p(w)/n_2p(w’) = [(n0^2(w) - 1)/(n0^2(w’) - 1)]^(2p + 2), with optmat’s default Ar dispersion ((n^2 - 1) ratio 1830/800 nm = 0.99334), turns Bejot et al. 2010 PRL’s Ar values (bejot_2010 Table II: n2 1.0, n4 -0.37, n6 0.4, n8 -1.7, n10 8.8 in their units) into 9.74, -3.56, 3.79, -1.59, 8.12 in the units above, against 9.73, -3.55, 3.78, -1.59, 8.10 printed: the table is those 800 nm values carried to 1.83 um by the Miller rule, to within 0.3 % (the paper’s own Sellmeier is Weber’s handbook). The n2 dataset is therefore marked reproduced (from loriot_2009 through ettoumi_2010’s formula); it is not an independent value at 1.83 um.

Higher-order claim (notes only): the simulations need the higher-order terms to reproduce the measured spectral asymmetry and compression (‘the higher-order Kerr terms have to be included in order to quantitatively reproduce experiments’, p. 5), with saturation at 19 TW/cm^2 and a negative index above 27 TW/cm^2. The terms come from the refuted Loriot/Bejot coefficients (see loriot_2009) and are not to be used. Ionisation is checked negligible (PPT plasma density below 1e11 cm^-3).

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

Datasets#

bejot_2010_hollow/n2_Ar#

{
  "id": "n2_Ar",
  "material": "Ar",
  "file": "Ar/bejot_2010_hollow__n2_Ar.csv",
  "table": "tbl_0df301bb6004",
  "quantity": "nonlinear_index",
  "unit": "m2/W",
  "scale": 1e-24,
  "abscissa_unit": "um",
  "state": {
    "pressure_pa": 100000.0,
    "temperature_k": 293.15
  },
  "use": "reproduced",
  "reproduced_from": [
    "loriot_2009",
    "ettoumi_2010"
  ],
  "parameters": {
    "part": "electronic",
    "coefficient": "self"
  }
}

Table I, n2 = 9.73 p x 10^-24 m^2/W with p = P / 1 bar: the value per bar (temperature not stated; 293.15 K as for the Loriot measurement it comes from). Loriot’s corrected 800 nm value carried to 1.83 um with Ettoumi’s generalized Miller formula (reproduced to 0.1 %, see the record’s notes). Wavelength 1.83 um as printed (the OPA idler), medium not stated.

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.