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An exact solution of the equation of transfer with three-term scattering indicatrix in an exponential atmosphere

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Abstract

The general equation for radiative transfer in the Milne-Eddington model is considered here. The scattering function is assumed to be quadratically anisotropic in the cosine of the scattering angle and Planck's intensity function is assumed for thermal emission. Here we have taken Planck's function as a nonlinear function of optical depth, viz.,B v(T)=b o+b 1 e −βτ. The exact solution for emergent intensity from the bounding face is obtained by the method of the Laplace transform in combination with the Wiener-Hopf technique.

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Authors and Affiliations

  1. Department of Mathematics, North Bengal University, W.B., India

    S. Karanjai

  2. Department of Telecommunication, M/W Station, Siliguri, W.B., India

    T. K. Deb

Authors
  1. S. Karanjai
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  2. T. K. Deb
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Karanjai, S., Deb, T.K. An exact solution of the equation of transfer with three-term scattering indicatrix in an exponential atmosphere. Astrophys Space Sci 179, 89–96 (1991). https://doi.org/10.1007/BF00642355

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  • DOI: https://doi.org/10.1007/BF00642355

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