The Milne problem for a specularly reflecting boundary

B. D. Ganapol

doi:10.1016/0022-4073(95)00084-X

The Milne problem for a specularly reflecting boundary

B. D. Ganapol

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The standard Milne problem, serving as an analytical benchmark for almost 50 years, is reconsidered in light of the numerical Laplace transform inversion. The application of the numerical inversion greatly reduces the effort in generating highly accurate numerical evaluations of solutions to particular transport problems. Le Caine's results for the integrated intensity are shown to Contain only 3 or 4 correct digits. The Milne problem has also been generalized to include a specularly reflecting boundary.

Original language	English (US)
Pages (from-to)	495-508
Number of pages	14
Journal	Journal of Quantitative Spectroscopy and Radiative Transfer
Volume	54
Issue number	3
DOIs	https://doi.org/10.1016/0022-4073(95)00084-X
State	Published - Sep 1995

ASJC Scopus subject areas

Radiation
Atomic and Molecular Physics, and Optics
Spectroscopy

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10.1016/0022-4073(95)00084-X

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abstract = "The standard Milne problem, serving as an analytical benchmark for almost 50 years, is reconsidered in light of the numerical Laplace transform inversion. The application of the numerical inversion greatly reduces the effort in generating highly accurate numerical evaluations of solutions to particular transport problems. Le Caine's results for the integrated intensity are shown to Contain only 3 or 4 correct digits. The Milne problem has also been generalized to include a specularly reflecting boundary.",

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AB - The standard Milne problem, serving as an analytical benchmark for almost 50 years, is reconsidered in light of the numerical Laplace transform inversion. The application of the numerical inversion greatly reduces the effort in generating highly accurate numerical evaluations of solutions to particular transport problems. Le Caine's results for the integrated intensity are shown to Contain only 3 or 4 correct digits. The Milne problem has also been generalized to include a specularly reflecting boundary.

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The Milne problem for a specularly reflecting boundary

Abstract

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