Radiative Transfer in Finite Homogeneous Atmospheres with Anisotropic Scattering—II

The Uniqueness Problem for Chandrasekhar's Equations

T. W. Mullikin

ResearchPublished 1964

A study of the existence and uniqueness problems for Chandrasekhar's equations for radiative transfer in homogeneous atmospheres with anisotropic scattering. It is shown that for many phase functions these nonlinear equations have one-parameter families of solutions. It is also shown that the unique solution which corresponds to the solution of the radiative transfer problem must satisfy certain linear constraints in addition to Chandrasekhar's nonlinear equations

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Mullikin, T. W., Radiative Transfer in Finite Homogeneous Atmospheres with Anisotropic Scattering—II: The Uniqueness Problem for Chandrasekhar's Equations. Santa Monica, CA: RAND Corporation, 1964. https://www.rand.org/pubs/research_memoranda/RM3909.html.
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