Invariant Imbedding and a Reformulation of the Internal Intensity Problem in Radiative Transfer Theory

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Abstract
The problem of calculating internal intensities in transport theory is reformulated with the method of invariant imbedding. The advantage of this approach is that the domains of the integral and the differential operators are disjoint. The computational solution is perfectly feasible, involving the integration of a system of ordinary differential equations with known initial conditions . Graphical results show the presence of internal maxima in the internal intensity function.