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

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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 languageEnglish (US)
Pages (from-to)135-143
Number of pages9
JournalJournal of Quantitative Spectroscopy and Radiative Transfer
Volume22
Issue number2
DOIs
StatePublished - 1979

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Radiative transfer
radiative transfer
Neutrons
atmospheres
transport theory
quadratures
neutrons

ASJC Scopus subject areas

  • Spectroscopy
  • Atomic and Molecular Physics, and Optics

Cite this

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