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

DOI10.1016/0022-247X(76)90119-0zbMath0944.85501OpenAlexW2049633869MaRDI QIDQ1575104

Masamichi Matsumoto

Publication date: 5 September 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(76)90119-0

zbMATH Keywords

Laplace transformexact solutionconvergent infinite seriessemi-infinite atmospherefinite order scattering functiontime-dependent equation of radiative transfer

Mathematics Subject Classification ID

Planetary atmospheres (85A20) Radiative transfer in astronomy and astrophysics (85A25)

Related Items (3)

Solution of a time-dependent equation of transfer by the \(F_ n\)-method ⋮ The accuracy of numerical inversion of the Laplace transform applied to the time-dependent reflection function from a semi-infinite atmosphere ⋮ The \(n\)th order time-dependent reflection function for a finite homogeneous atmosphere

Cites Work

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• On the time-dependent principle of invariance in a semi-infinite medium
• Invariant imbedding and radiation dosimetry: Finite order scattering and transmission function
• Order-of-scattering theory for transport processes
• Use of numerically inverted Laplace transforms in time-dependent transport calculations
• Time-Dependent One-Speed Albedo Problem for a Semi-Infinite Medium
• Existence and Uniqueness Theorems for the Neutron Transport Equation

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