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 · Catalogue · Review register

DOI: 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

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

No datasets are recorded.

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.