Abstract
For the inverse problem treated here we use the results of an experiment which measures the total angular-dependent column density as compared to the measurement which provides information on the angle integrated spatial-dependent angular density (or the specific intensity). We use two methods of approach. One, the Legendre expansion method and two a maximal variational principle. In particular we demonstrate how the variational principle yields a very convenient representation of the scattering kernel (or the phase function) in terms of a basis consisting of Case eigenfunctions for the isotropically scattering medium.
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