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Exact solution of the transport equation for imperfect rayleigh scattering in a semi-infinite atmosphere

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Abstract

By performing the one-sided Laplace transform on the matrix integro-differential equation for a semi-infinite plane parallel imperfect Rayleigh scattering atmosphere we derive an integral equation for the emergent intensity matrix. Application of the Wiener-Hopf technique to this integral equation will give the emergent intensity matrix in terms of singularH-matrix and an unknown matrix. The unknown matrix has been determined considering the boundary condition at infinity to be identical with the asymptotic solution for the intensity matrix.

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References

  • Abhyankar, K. D. and Fymat, A. L.: 1970,Astron. Astrophys. 4, 101.

    Google Scholar 

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

    Google Scholar 

  • Chandrasekhar, S.: 1950,Radiative Transfer, Oxford University Press.

  • Das, R. N.: 1978,Astrophys. Space Sci. 57, 429.

    Google Scholar 

  • Domke, H.: 1971,Soviet Astron. Astrophys. J. 15, 600.

    Google Scholar 

  • Pahor, S.: 1968,Nucl. Sci. Eng. 31, 1.

    Google Scholar 

  • Siewert, C. E. and Frayley, K.: 1967,Ann. Phys. 43, 338.

    Google Scholar 

  • Schnatz, T. W. and Siewert, C. E.: 1970,J. Math. Phys. 11, 2733.

    Google Scholar 

  • Sekera, Z.: 1963, Rand Memorandum, R-413-PR (Santa Monica, Rand Corporation).

    Google Scholar 

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Authors and Affiliations

  1. Takipur, West Bengal, India

    Rabindra Nath Das

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  1. Rabindra Nath Das
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Das, R.N. Exact solution of the transport equation for imperfect rayleigh scattering in a semi-infinite atmosphere. Astrophys Space Sci 62, 143–147 (1979). https://doi.org/10.1007/BF00643908

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  • DOI: https://doi.org/10.1007/BF00643908

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