Computation of Compton profiles in a weak laser field

Hartmut Schmider, Jr. Vedene H. Smith

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    Abstract

    A modified numerical scheme for the evaluation of Compton profiles in a weak laser field, based on an expression by Jain and Tzoar [Phys. Rev. A 18, 538 (1978)], is derived. The scheme is based on the reciprocal form factor and is computationally preferable to the original method. The scheme requires either a numerical Fourier transformation or the calculation of a one-dimensional integral, both of which are easily achieved. We focus on the numerical integration, which is readily performed with a Gauss-Chebyshev quadrature. Stable results may be obtained by avoiding numerical derivatives. Some numerical tests are performed to study the convergence properties of the old and modified methods. The modified scheme is applied to study some atomic and molecular systems. The dependence of the profile modulation on the atomic number Z throughout the periodic table is established.
    Original languageEnglish
    JournalPhysical Review A
    Volume53
    Issue number5
    Pages (from-to)3295-3301
    ISSN2469-9926
    DOIs
    Publication statusPublished - 1996

    Bibliographical note

    Copyright (1996) American Physical Society.

    Keywords

    • SCATTERING
    • RADIATION

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