pan_1990#
L. Pan, K. T. Taylor and C. W. Clark, “Perturbation theory study of high-harmonic generation”, J. Opt. Soc. Am. B 7, 509 (1990)
Source record · Catalogue · Review register
Source kind: theory
Recorded technique: Lowest- and next-lowest-order perturbation theory for harmonic generation by hydrogenic ions (Z scaling, Eq. 10): the q-th order susceptibility chi_q(-q omega; omega, ..., omega) as the sum over the q + 1 time orderings of the q-th order perturbed wave functions (Eqs. 1-5), solved as inhomogeneous equations in a Sturmian basis (Appendix A) with complex coordinate rotation above threshold; the next order chi_q^(2) (coefficient of F^(q+2)) gives critical intensities. Hydrogen 1s in a Nd:YAG (1064 nm) field, 3 <= q <= 33 (q <= 29 at next order).
Materials in structured entries: None recorded.
Dataset quantities: None recorded.
Contents: 0 datasets; 0 formulas.
Curation notes#
Pages: PDF page n is journal page 508 + n (pp. 509-516). Identity checked against the first page (J. Opt. Soc. Am. B 7, No. 4, April 1990).
NOTHING TAKEN. The paper is about atomic hydrogen and harmonic generation; it prints no two-photon ionisation cross section of any gas. The ‘Pan et al.’ that McKenna and van der Hart cite for argon’s two-photon cross section (‘within 20% of 0.85 x 10^-50 cm4 s’, mckenna_2004 p. 465) is a different paper by different authors: McKenna’s reference list prints ‘Pan C, Gao B and Starace A F 1990 Phys. Rev. A 41 6271’ (C. Pan, B. Gao and A. F. Starace; mckenna_2004’s notes), not in the library. This paper’s first author is Liwen Pan, and it shares the year and the surname only.
WHAT IT HOLDS. Table 1 (p. 512, tbl_be7ea64a3db8, checked against the image): for H 1s at 1064 nm, |chi_q| (a.u.) for q = 3-33 (2.78(2) at q = 3 to 3.01(51) at q = 33), |chi_q^(2)| (a.u.) for q = 3-29, the critical intensities I_c(q) of Eq. 15 (q = 3-31) and I_c’(q) of Eq. 21 (q = 3-29). Fig. 1: chi_3 against the energy of the highest virtual state with the fit functions a(eps), b(eps) of Eqs. 11-13 (no coefficients printed); Fig. 2: |chi_21|^2 against the effective quantum number; Figs. 3-4: relative harmonic yields and I_c. Not taken: these are harmonic-generation susceptibilities of atomic hydrogen in the paper’s own normalisation (Eq. 1: the bare sum over the q + 1 time orderings, no prefactor), not the Taylor-series gamma the third-order quantities use, and hydrogen’s third-order response is not curated. Table 2 (p. 513, tbl_e9d1ec768f53), ‘Ionization Potentials U, Static Polarizabilities alpha, and Low-Order Susceptibilities chi_q of Hydrogen and the Noble Gases at the Nd:YAG Frequency’: He-Xe U to 0.1 eV, alpha (Miller and Bederson 1977, Ref. 14) and the noble-gas chi_3, chi_5, chi_7 (esu) ‘reported in Ref. 2’ (X. F. Li, A. L’Huillier, M. Ferray, L. A. Lompré and G. Mainfray, Phys. Rev. A 39, 5751 (1989), not in the library), with hydrogen’s (chi_3 1.4e-37, chi_5 1.5e-49, chi_7 1.2e-60 esu): all but the hydrogen row reproduced, rounded; not taken.
INTERNAL INCONSISTENCIES (text against Table 1, as printed): p. 512 says ‘the highest is I_c(31) = 2.77 x 10^14 W/cm^2’, the table prints 3.77 (14); p. 513 says ‘The lowest value among them is I_c(19) = 1.66 x 10^11 W/cm^2’ of the next-order I_c’(q), the table prints I_c’(19) = 1.79 (11) and I_c’(21) = 1.66 (11). No values taken, so no errata.
FURTHER TWO-PHOTON DATA CITED: M. Fink and P. Zoller, Phys. Rev. A 39, 2933 (1989), ‘A quantum defect parameterization of perturbative two photon ionization cross sections’ (Ref. 12, for the analytic structure of Eq. 11), not in the library.
Recorded bibliographic identity status: VALIDATED_WITH_WARNINGS. 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.