Abstract
We have considered the transport equation for radiative transfer to a problem in semi-infinite non-conservative atmosphere with no incident radiation and scattering albedo ω0 < 1. Usint the Laplace transform and the Wiener-Hopf technique, we have determined the emergent intensity and the intensity at any optical depth. We have obtained theH-function of Dasgupta (1977) by equating the emergent intensity with the intensity at zero optical depth.
Similar content being viewed by others
References
Boffi, V.: 1970,J. Math. Phys. 11, 267.
Busbridge, I. W.: 1960,The Mathematics of Radiative Transfer, Cambridge Univ. Press.
Case, K. M.: 1960,Ann. Phys. 9, 1.
Chandrasekhar, S.: 1950,Radiative Transfer, Dover Publ.
Das, R. N.: 1977, Thesis, North Bengal University.
Dasgupta, S. R.: 1974,Astrophys. Space Sci. 30, 327.
Dasgupta, S. R.: 1977,Astrophys. Space Sci. 50, 187.
Kourganoff, V.: 1963,Basic Methods in Transfer Problems, Dover Publ.
Muskhelishvili, N.: 1946,Singular Integral Equations, P. Noordhoff, N.V.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Das, R.N. Exact solution of the transport equation for radiative transfer with scattering albedo ωO < 1 using the Laplace transform and the Wiener-Hopf technique and an expression ofH-function. Astrophys Space Sci 60, 49–58 (1979). https://doi.org/10.1007/BF00648243
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00648243