forster_2014
============

J\. Förster, Y\. V\. Vanne and A\. Saenz, "Ionization behavior of molecular hydrogen in intense laser fields\: Influence of molecular vibration and alignment", Phys\. Rev\. A 90, 053424 \(2014\)

`Source record <https://github.com/LupoLab/optmat/blob/main/src/optmat/data/sources/forster_2014.toml>`__ · :doc:`Catalogue </the-data/sources>` · :doc:`Review register </register>`

DOI: `10\.1103/physreva\.90\.053424 <https://doi.org/10.1103/physreva.90.053424>`__

**Source kind:** theory

**Recorded technique:** Full\-dimensional two\-electron time\-dependent Schrodinger equation for H2 in the fixed\-nuclei approximation \(configuration interaction from H2\+ B\-spline orbitals in prolate spheroidal coordinates, velocity gauge, cos^2 vector\-potential pulses\)\: ionisation yields at fixed R \(FNA, R = 1\.4 a0\) and averaged over the vibrational ground state \('frozen nuclei', FROZ, Eq\. \(3\)\), for parallel, perpendicular and random alignment \(Eq\. \(4\)\); compared with ADK and a new frequency\-corrected ADK \(FC\-ADK, Eq\. \(9\)\) \(pp\. 1\-3\)\.

**Materials in structured entries:** None recorded.

**Dataset quantities:** None recorded.

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

Curation notes
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Pages are pdf pages \(1\-9 = 053424\-1 to \-9\)\. Identity checked against pdf p\. 1\. UNMAPPED\_GLYPHS on pp\. 2, 5, 6, 7 \(the parallel sign, Gamma in Gamma\_ADK, square roots in footnote 3\); not on any value taken, since none is\.

WHY NOTHING IS TAKEN\. H2 only \(H2\+ the final state\); every yield is in a figure\: Fig\. 2 \(p\. 3\), yield against omega for parallel H2, 10 fs, 1e12 W/cm^2 \(with the full and LOPT results of Palacios et al\. and Sanz\-Vicario et al\.\); Figs\. 3\-5 \(pp\. 4\-5\), R\-dependent yields and alignment, same laser; Fig\. 6 \(p\. 6\), Y\(R\) at 800 nm, 20\-cycle pulses, 2\-13 x 10^13 W/cm^2; Fig\. 7 \(p\. 7\), FNA and FROZ yields against peak intensity \(800 nm, 20 cycles, parallel and perpendicular\) with ADK and FC\-ADK, and the ratio Y\_FROZ/Y\_FNA; Figs\. 8\-9 \(pp\. 7\-8\), Y\(R\) at 800 nm for 40\-cycle pulses at 1e13\-1e14 W/cm^2 and 6\-cycle pulses at 3\.5\-10\.6 x 10^13 W/cm^2 \(the TDSE of Awasthi and Saenz 2006 \[18\]\)\. No table\.

NUMBERS IN THE TEXT \(the paper's own; not taken\)\: at 4 x 10^13 W/cm^2 \(800 nm, 20 cycles\) Y\_FROZ/Y\_FNA = 6\.3 \(parallel\) and 2\.5 \(perpendicular\) \(p\. 6\); the parallel and perpendicular TDSE yields agree within a factor of 3 \(FNA\) or 2 \(FROZ\) \(p\. 6\); cycle\-averaged against static rates differ by 'below 1\.3%' \(p\. 6\); the ADK\-to\-TDSE scaling factors of \[18\] for the 6\-cycle pulses, corrected \(footnote 3, p\. 7\: \[18\] had an extra prefactor sqrt\(pi kappa^3/\(3F\)\)\), are 75, 14, 5 and 2\.5 at 3\.5, 5\.4, 7\.8 and 10\.6 x 10^13 W/cm^2\. The 800 nm range is quoted as 'gamma = 0\.67\-2\.6' \(pp\. 5, 6\), which Figs\. 8\-9 \(gamma 1\.2 at 1e14, 1\.1 at 1\.06e14 W/cm^2\) and gamma = omega sqrt\(2 I\_p\)/F \(Eq\. \(5\)\) do not bear out at the low end \(about 1\.0 at 1\.3e14 W/cm^2\)\: probably a misprint\.

FORMULA \(for review; not recorded as an entry\)\. FC\-ADK, Eq\. \(9\) \(p\. 6, checked against the equation image\)\: Gamma\_FC\-ADK = N\_e sqrt\(\(3F\_e/\(pi kappa^3\)\)\(2/kappa \- 1\)\) \(F\_e/\(8 pi\)\) \(4e kappa^3/\(\(2/kappa \- 1\) F\_e\)\)^\(2/kappa\) exp\[\-\(2 kappa^3/\(3F\_e\)\) g\(gamma\)\], with g\(gamma\) = \(3/\(2 gamma\)\){\(1 \+ 1/\(2 gamma^2\)\) arcsinh gamma \- sqrt\(1 \+ gamma^2\)/\(2 gamma\)} \(Eq\. \(8\)\), gamma = kappa omega/F\_e, kappa = sqrt\(2 I\_p\(R\)\); 'N\_e = 2 is the number of active electrons' and 'In the limit gamma \<\< 1 Eq\. \(9\) reduces to the standard atomic ADK rate multiplied with the number of active electrons N\_e' \(p\. 6\)\. It starts from Eq\. \(7\) of Ilkov, Decker and Chin \(1992\) \(ilkov\_1992/eq7\_ground\_state\)\. The factor N\_e = 2 for H2 bears on solprop's occupancy question \(TC\-439\)\. Eq\. \(6\)\: Y\_ADK\(R\) = 1 \- exp{\-int Gamma\_ADK\[F\_e\(t\), I\_p\(R\)\] dt}\.

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

Datasets
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No datasets are recorded.

Formulas
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No formulas are recorded.

Corrections
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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.