On the inverse problem for a three-term phase function

Mathematics

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Integral Equations, Mathematical Models, Phase Shift, Radiative Transfer, Scatter Propagation, Boundary Conditions, Boundary Value Problems, Electromagnetic Scattering, Slabs

Scientific paper

Siewert (1979) has used the X and Y functions of Chandrasekhar (1950) to obtain an exact solution of the inverse problem for a two-term scattering law. In the present paper, the phase function is established for a three-term scattering law, basic to the inverse problem for radiative transfer in a finite slab. The approach employed uses only the equation of transfer and the boundary conditions and, thus, does not require any detailed knowledge (say in terms of X and Y functions) of the intensity.

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