The exact solution of the time-dependent equation of radiative transfer in the interior of a semi-infinite atmosphere

Barry D. Ganapol

doi:10.1016/0022-4073(79)90034-7

The exact solution of the time-dependent equation of radiative transfer in the interior of a semi-infinite atmosphere

Barry D. Ganapol

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Abstract

An exact solution to the time-dependent radiative transfer equation for the interior intensity in a semi-infinite atmosphere exhibiting temporal capture is obtained. The intensity is constructed from a solution found in neutron transport theory and can be expressed in terms of quadratures of elementary functions. The origin of the form of the emergent intensity found by Matsumoto is given, as well as a similarity relation and the relationship of the intensities in absorbing and nonabsorbing media.

Original language	English (US)
Pages (from-to)	135-143
Number of pages	9
Journal	Journal of Quantitative Spectroscopy and Radiative Transfer
Volume	22
Issue number	2
DOIs	https://doi.org/10.1016/0022-4073(79)90034-7
State	Published - Aug 1979

ASJC Scopus subject areas

Radiation
Atomic and Molecular Physics, and Optics
Spectroscopy

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10.1016/0022-4073(79)90034-7

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abstract = "An exact solution to the time-dependent radiative transfer equation for the interior intensity in a semi-infinite atmosphere exhibiting temporal capture is obtained. The intensity is constructed from a solution found in neutron transport theory and can be expressed in terms of quadratures of elementary functions. The origin of the form of the emergent intensity found by Matsumoto is given, as well as a similarity relation and the relationship of the intensities in absorbing and nonabsorbing media.",

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AB - An exact solution to the time-dependent radiative transfer equation for the interior intensity in a semi-infinite atmosphere exhibiting temporal capture is obtained. The intensity is constructed from a solution found in neutron transport theory and can be expressed in terms of quadratures of elementary functions. The origin of the form of the emergent intensity found by Matsumoto is given, as well as a similarity relation and the relationship of the intensities in absorbing and nonabsorbing media.

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The exact solution of the time-dependent equation of radiative transfer in the interior of a semi-infinite atmosphere

Abstract

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