wang_2015
=========

D\. Wang, L\. Qiao, Z\. Huang and Y\. Leng, "Measuring electronic Kerr and rotational parameters of gases with hollow\-core fibers", J\. Opt\. Soc\. Am\. B 32, 2238 \(2015\)

`Source record <https://github.com/LupoLab/optmat/blob/main/src/optmat/data/sources/wang_2015.toml>`__ · :doc:`Catalogue </the-data/sources>` · :doc:`Review register </register>`

DOI: `10\.1364/JOSAB\.32\.002238 <https://doi.org/10.1364/JOSAB.32.002238>`__

**Source kind:** theory

**Recorded technique:** A proposed method, tested only by numerical experiments\: n2 from the self\-phase\-modulation broadening of a pulse in a gas\-filled hollow\-core fiber \(Ar, 40 fs, 800 nm, 250 um, 50\-1000 mbar\), and for molecules \(N2\) n2,instant from few\-cycle \(5\.3 fs\) pulses plus the rotational constant and spin statistics from pump\-probe spectral shifts, simulated with a nonlinear Schroedinger equation \(Kerr, self\-steepening, PPT ionization, plasma, rotational density matrix\) whose inputs are the 'true values' of Table 2 \(pp\. 2239\-2243\)\. No measurement\.

**Materials in structured entries:** N2

**Dataset quantities:** nonlinear\_index, polarizability\_anisotropy

**Contents:** 2 datasets; 0 formulas.

Curation notes
--------------

Journal pages 2238\-2245 = PDF pages 1\-8\. Identity checked against the first page\.

NO MEASURED VALUE\. The 'retrieved' n2 are outputs of simulations run with known inputs\: Ar in um2/\(TW bar\) in Figs\. 1\-2 only; N2 n2,instant retrieved with a 20\-cm fiber '5\.3834 \+\- 0\.6277 um2/\(TW bar\)' \(800 nm\) and '5\.7077 \+\- 0\.5510' \(400 nm\) against the inputs 5\.5 and 6\.0 \(p\. 2242\); B0 retrieved 1\.984844 cm^\-1 against 1\.989581 \(p\. 2243\)\. Not extracted \(simulation outputs\)\.

DEFINITIONS \(p\. 2239\)\: Eq\. \(1\) dE/dz = \-\(alpha/2\) E \+ i \(omega0/c\) n2 \|E\|^2 E, E normalized to intensity \(so n2 is the self coefficient\), gamma = omega0 n2 / \(c A\_eff\); Eq\. \(5\)\: n2 bar = n2 per unit gas pressure \('nonlinear refractive index per unit gas pressure'\); p\. 2242\: Delta n\_rot\-Raman = \(2 pi rho\_nt Delta alpha / n0\)\(\<\<cos^2 theta\>\> \- 1/3\)\.

TABLE 2 \(p\. 2242; image checked; tools/extract/wang\_2015\.py\)\: the N2 inputs\. n2,instant at 800 nm = 5\.5 um2/\(TW bar\), note a\: 'As it is the instantaneous part of n2, the value is half that in \[23\]' \(\[23\] = Loriot et al\.'s erratum, Opt\. Express 18, 3011 \(2010\), N2 11 x 10^\-20 cm2/W at 1 bar\)\. That erratum already gives the self coefficient \(the factor 2 of the degenerate probe removed; wahlstrand\_2013\), so the halving is WRONG\: 'excluded'\. n2,instant at 400 nm = 6\.0, note b\: 'Derived according to generalized Miller formulas in \[33\]' \(Ettoumi et al\. 2010 = ettoumi\_2010\) from the halved value\: excluded with it\. B0 = 1\.989581 cm^\-1, D0 = 5\.76e\-6 cm^\-1, Delta alpha = 1\.0 A^3, g\_even = 2, g\_odd = 1, note c = Ref\. \[29\] \(Herzberg, Molecular Spectra and Molecular Structure, 1989\)\. Units\: 1 um2/\(TW bar\) = 1e\-20 cm2/W per bar\.

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

Datasets
--------

wang\_2015/n2\_instant\_N2
~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "id": "n2_instant_N2",
     "material": "N2",
     "file": "N2/wang_2015__n2_instant_N2.csv",
     "table": "tbl_1bb9ec2e9554",
     "quantity": "nonlinear_index",
     "unit": "cm2/W",
     "scale": 1e-20,
     "abscissa_unit": "nm",
     "state": {
       "pressure_pa": 100000.0,
       "temperature_k": 293.15
     },
     "use": "excluded",
     "reproduced_from": [
       "loriot_2010",
       "ettoumi_2010"
     ],
     "parameters": {
       "part": "instantaneous",
       "coefficient": "self"
     }
   }

Table 2, n2,instant of N2 used as the simulations' input, in um2/\(TW bar\) = 1e\-20 cm2/W per bar \(293\.15 K assumed\)\: 800 nm = half of Loriot et al\.'s erratum value \(11\), wrongly \(the erratum value is already the self coefficient\); 400 nm derived from it with the generalized Miller formulas\. Excluded\: an erroneous reproduction\.

wang\_2015/dalpha\_herzberg\_N2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "id": "dalpha_herzberg_N2",
     "material": "N2",
     "file": "N2/wang_2015__dalpha_herzberg_N2.csv",
     "table": "tbl_1bb9ec2e9554",
     "quantity": "polarizability_anisotropy",
     "unit": "angstrom3",
     "scale": 1.0,
     "abscissa_unit": "nm",
     "use": "reproduced",
     "reproduced_from": [
       "G. Herzberg, Molecular Spectra and Molecular Structure (Krieger, 1989)"
     ]
   }

Table 2, Delta alpha = 1\.0 A^3 \(note c\: Herzberg\)\. One significant figure; wavelength 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.