A new method for exact solution of transfer equations in finite media

DOI10.1007/BF00687505zbMath0464.76056MaRDI QIDQ1154361

Rabindra Nath Das

Publication date: 1981

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

zbMATH Keywords

radiative transfertransfer equationsfinite plane-parallel steady- state scattering atmospheres

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Compressible fluids and gas dynamics (76N99) Scattering theory of linear operators (47A40) Radiative transfer in astronomy and astrophysics (85A25)

Related Items (1)

Solution of Riemann-Hilbert problems for determination of new decoupled expressions of Chandrasekhar's \(X\)- and \(Y\)-functions for slab geometry in radiative transfer

Cites Work

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• Elementary solutions of the transport equation and their applications
• Exact solution of a basic equation in finite atmosphere by the method of Laplace transform and linear singular operators
• A new representation of the H-functions of radiative transfer
• 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
• Application of the Wiener-Hopf technique for a new representation of X- and Y-equations
• Exact solution of the problem of diffuse reflection and transmission by the method of Laplace transform and linear singular operators
• A new technique for exact and unique solution of transfer equations in finite media

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