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Exact solution of the equation of transfer in a finite exponential atmosphere by the method of laplace transform and linear singular operators

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Abstract

The equation which commonly appears in radiative transfer problem in a finite atmosphere having ground reflection according to Lambert's law is considered in this paper. The Planck's functionB ν(T) is taken in the form,

$$B_v (T) = b_0 + b_1 e^{ - \beta \tau } .$$

The exact solution of this equation is obtained for surface quantities in terms of theX−Y equations of Chandrasekhar by the method of Laplace transform and linear singular operators.

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References

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Authors and Affiliations

  1. Department of Mathematics, North Bengal University, India

    S. Karanjai

  2. Department of Telecommunications, M/W Station, Siliguri, 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. Exact solution of the equation of transfer in a finite exponential atmosphere by the method of laplace transform and linear singular operators. Astrophys Space Sci 181, 267–275 (1991). https://doi.org/10.1007/BF00639094

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  • DOI: https://doi.org/10.1007/BF00639094

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