Asymptotic expansions of the kernel functions for line formation with continuous absorption.
Abstract
Asymptotic expressions are obtained for the kernel functions M∼2(τ,α,β) and K∼2(τ,α,β) appearing in the theory of line formation with complete redistribution over a Voigt profile with damping parameter α, in the presence of a source of continuous opacity parameterized by β. For α > 0, each coefficient in the asymptotic series is expressed as the product of analytic functions of α and η ≡ βτ separately. For Doppler broadening, only the leading term can be evaluated analytically.
- Publication:
-
Journal of Quantitative Spectroscopy and Radiative Transfer
- Pub Date:
- April 1991
- DOI:
- 10.1016/0022-4073(91)90055-U
- Bibcode:
- 1991JQSRT..45..211H
- Keywords:
-
- Asymptotic Methods;
- Kernel Functions;
- Line Spectra;
- Radiation Absorption;
- Radiative Transfer;
- Voigt Effect;
- Continuous Radiation;
- Photons;
- Thermodynamics and Statistical Physics