bejot_2010_hollow
=================

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

`Source record <https://github.com/LupoLab/optmat/blob/main/src/optmat/data/sources/bejot_2010_hollow.toml>`__ · :doc:`Catalogue </the-data/sources>` · :doc:`Review register </register>`

DOI: `10\.1103/physreva\.81\.063828 <https://doi.org/10.1103/physreva.81.063828>`__

**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
~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "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 :doc:`review register </register>` for the checks and decisions.