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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

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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.

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References

  • Boffi, V.: 1970,J. Math. Phys. 11, 267.

    Google Scholar 

  • Busbridge, I. W.: 1960,The Mathematics of Radiative Transfer, Cambridge Univ. Press.

  • Case, K. M.: 1960,Ann. Phys. 9, 1.

    Google Scholar 

  • Chandrasekhar, S.: 1950,Radiative Transfer, Dover Publ.

  • Das, R. N.: 1977, Thesis, North Bengal University.

  • Dasgupta, S. R.: 1974,Astrophys. Space Sci. 30, 327.

    Google Scholar 

  • Dasgupta, S. R.: 1977,Astrophys. Space Sci. 50, 187.

    Google Scholar 

  • Kourganoff, V.: 1963,Basic Methods in Transfer Problems, Dover Publ.

  • Muskhelishvili, N.: 1946,Singular Integral Equations, P. Noordhoff, N.V.

    Google Scholar 

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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

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  • DOI: https://doi.org/10.1007/BF00648243

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