Kernel Representations in the Solution of Line-Transfer Problems

Details Kernel Representations in the Solution of Line-Transfer Problems Kernel Representations in the Solution of Line-Transfer Problems

Feb 1966

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1966saosr.201.....a&link_type=abstract

SAO Special Report #201 (1966)

Physics

14

Scientific paper

In this paper we describe in detail a method of solution for a certain class of line-transfer problems. We also discuss the physical characteristics of this given type of problem, and show how the equations for particular cases are derived. The basic numerical method involves the solution of integral equations having the form S(τ) = [1-ɛ(τ) ∫T0K(|t-τ|) S(t) dt + ɛ(τ) B(τ). We deal only with those cases for which the kernel function has the form of K(|t-τ|) a restriction that involves several physical approximations. Despite this restriction, the method is applicable to a great many problems of physical interest-espeically to the transfer of line radiation by atoms with many levels.

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