Radiative transfer in a semiinfinite medium with a specularly reflecting boundary

B. D. Ganapol

doi:10.1016/0022-4073(95)90058-6

Radiative transfer in a semiinfinite medium with a specularly reflecting boundary

B. D. Ganapol

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

5 Scopus citations

Abstract

A consistent solution of the radiative transfer equation characterizing photon transport in a semiinfinite medium of refractive index greater than or equal to one is obtained following the method of Sobolev. Fresnel specular reflection, Snell's law and isotropic scattering are assumed. An algorithm is developed and its accuracy is demonstrated. A numerical Laplace transform inversion leads to an efficient evaluation for the interior flux and source function distributions.

Original language	English (US)
Pages (from-to)	257-267
Number of pages	11
Journal	Journal of Quantitative Spectroscopy and Radiative Transfer
Volume	53
Issue number	3
DOIs	https://doi.org/10.1016/0022-4073(95)90058-6
State	Published - Mar 1995
Externally published	Yes

ASJC Scopus subject areas

Radiation
Atomic and Molecular Physics, and Optics
Spectroscopy

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abstract = "A consistent solution of the radiative transfer equation characterizing photon transport in a semiinfinite medium of refractive index greater than or equal to one is obtained following the method of Sobolev. Fresnel specular reflection, Snell's law and isotropic scattering are assumed. An algorithm is developed and its accuracy is demonstrated. A numerical Laplace transform inversion leads to an efficient evaluation for the interior flux and source function distributions.",

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AB - A consistent solution of the radiative transfer equation characterizing photon transport in a semiinfinite medium of refractive index greater than or equal to one is obtained following the method of Sobolev. Fresnel specular reflection, Snell's law and isotropic scattering are assumed. An algorithm is developed and its accuracy is demonstrated. A numerical Laplace transform inversion leads to an efficient evaluation for the interior flux and source function distributions.

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