A new technique for exact and unique solution of transfer equations in finite media

Details A new technique for exact and unique solution of transfer equations in finite media A new technique for exact and unique solution of transfer equations in finite media

Jun 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978ap%26ss..56...21d&link_type=abstract

Astrophysics and Space Science, vol. 56, no. 1, June 1978, p. 21-49.

Astronomy and Astrophysics

Astrophysics

6

Atmospheric Heating, Radiative Heat Transfer, Transfer Functions, Uniqueness Theorem, Laplace Transformation, Liouville Theorem, Mathematical Models, Optical Thickness, Wiener Hopf Equations

Scientific paper

A method used in combination with the Laplace transformation and Wiener-Hopf technique is developed to obtain unique solutions to the radiative-transfer equations in finite media. The simple transfer equation for diffuse reflection by a plane-parallel finite atmosphere scattering radiation with moderate anisotropy is considered. This equation is transformed by Laplace transformation into two coupled linear integral equations, which are then reduced to two uncoupled Fredholm integral equations that admit unique solutions by the method of iteration for values of atmospheric optical depth greater than specified, depending on the scattering process.

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