An exact solution of the equation of transfer for coherent scattering in an exponential atmosphere

Details An exact solution of the equation of transfer for coherent scattering in an exponential atmosphere An exact solution of the equation of transfer for coherent scattering in an exponential atmosphere

Mar 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992ap%26ss.189..119k&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 189, no. 1, March 1992, p. 119-122.

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Atmospheric Scattering, Coherent Scattering, Radiation Transport, Stellar Atmospheres, Absorptivity, Computational Astrophysics, Laplace Transformation, Wiener Hopf Equations

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Laplace transform and the Wiener-Hopf technique are employed to derive an exact analytic solution for the equation of transfer for coherent isotropic scattering in an exponential stellar atmosphere. The equation of transfer is developed with a defined Planck's function to determine the boundary conditions, and a Laplace transformation is employed to derive the solution for emergent intensity. The solution is shown to match that derived by Karanjai and Karanjai (1985) and is given in the form Bnu(T) = b0 + b1e exp -beta(tau), where beta, b0, and b1 are positive constants.

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