Asymptotic expansions of the kernel functions for line formation with continuous absorption

Details Asymptotic expansions of the kernel functions for line formation with continuous absorption Asymptotic expansions of the kernel functions for line formation with continuous absorption

Apr 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991jqsrt..45..211h&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer (ISSN 0022-4073), vol. 45, April 1991, p. 211-216.

Computer Science

Asymptotic Methods, Kernel Functions, Line Spectra, Radiation Absorption, Radiative Transfer, Voigt Effect, Continuous Radiation, Photons

Scientific paper

Asymptotic expressions are obtained for the kernel functions M2(tau, alpha, beta) and K2(tau, alpha, beta) appearing in the theory of line formation with complete redistribution over a Voigt profile with damping parameter a, in the presence of a source of continuous opacity parameterized by beta. For a greater than 0, each coefficient in the asymptotic series is expressed as the product of analytic functions of a and eta. For Doppler broadening, only the leading term can be evaluated analytically.

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