A new radiative-transfer inverse-source problem for a sphere

Mathematics

Scientific paper

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Mathematical Models, Radiative Transfer, Spheres, Spherical Harmonics, Transformations (Mathematics), Angular Distribution, Computer Programs, Legendre Functions, Numerical Integration

Scientific paper

A sphere-to-plane transformation technique and the spherical-harmonics method are used to develop a solution to an inverse-source problem for radiative transfer in a spherical body. It is assumed that, with the exception of the inhomogeneous source term, all aspects of the radiation-transport problem are known, and we seek to determine the source term from a specified angular distribution of radiation that exits the surface of the sphere.

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