Exact solution of the transport equation for radiative transfer with scattering albedo \(\omega_0<1\) using the Laplace transform and the Wiener-Hopf technique and an expression of \(H\)-function

DOI10.1007/BF00648243zbMath0393.45003MaRDI QIDQ1252489

Rabindra Nath Das

Publication date: 1979

Published in: Astrophysics and Space Science (Search for Journal in Brave)

zbMATH Keywords

Laplace TransformTransport EquationRadiative TransferWiener-Hopf Technique

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Laplace transform (44A10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Radiative transfer in astronomy and astrophysics (85A25)

Related Items (4)

A new method for exact solution of transfer equations in finite media ⋮ Application of Wiener-Hopf technique to linear nonhomogeneous integral equations for a new representation of Chandrasekhar's \(H\)-function in radiative transfer, its existence and uniqueness ⋮ Exact solution of the equation of transfer with planetary phase function ⋮ Solution of a Riemann-Hilbert problem for a new expression of Chandrasekhar's H-function in radiative transfer

Cites Work

• Elementary solutions of the transport equation and their applications
• A new representation of the H-functions of radiative transfer
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