The \(n\)th order time-dependent reflection function for a finite homogeneous atmosphere

DOI10.1016/S0096-3003(99)00195-2zbMath1016.85004OpenAlexW2065059004MaRDI QIDQ5931662

Masamichi Matsumoto

Publication date: 25 April 2001

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(99)00195-2

zbMATH Keywords

Laplace transformreflection functionfinite homogeneous atmosphereintegro-differential equationisotropic scatteringnumerical inversionorder of scatteringradiative transfer

Mathematics Subject Classification ID

Laplace transform (44A10) Numerical methods for integral transforms (65R10) Numerical methods for inverse problems for integral equations (65R32) Radiative transfer in astronomy and astrophysics (85A25)

Cites Work

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• The exact solution of the time-dependent equation of radiative transfer in a semi-infinite atmosphere
• Invariant imbedding and radiation dosimetry: Finite order scattering and transmission function
• The accuracy of numerical inversion of the Laplace transform applied to the time-dependent reflection function from a semi-infinite atmosphere

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