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Exact solution of a line-transfer problem in kernel approximation

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Abstract

In recent years approximate solutions for line-transfer problems using a kernel representation have been discussed by several authors (cf. Avrett and Loeser, 1966; Hummer and Rybicki, 1967). In this paper, extending an invariant imbedding method to the line-transfer problem with a kernel approximation as a sum of exponentials, we show how to get an exact solution of Milne's integral equation for the frequency-independent line source function with the aid of the resolvent kernel. A Cauchy system for an auxiliary function and the resolvent is suitable for numerical computation by means of high-speed digital computers.

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  1. S. Ueno

    Present address: Dept. of Information Science, Kanazawa Institute of Technology, Ogigaoka, Nonoichi, Ishikawa, Japan

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  1. Dept. of Electrical Engineering, University of Southern California, Los Angeles, Calif., U.S.A.

    S. Ueno

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  1. S. Ueno
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Ueno, S. Exact solution of a line-transfer problem in kernel approximation. Astrophys Space Sci 30, 35–41 (1974). https://doi.org/10.1007/BF00645751

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  • DOI: https://doi.org/10.1007/BF00645751

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