Invariant Imbedding and Radiative Transfer in Slabs of Finite Thickness.

by Richard Ernest Bellman, Robert E. Kalaba, M. C. Prestrud

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One of a projected series of Rand publications on the application of the theory of invariant imbedding to certain computational problems in radiative transfer. The method stems from an extension of the ideas of Ambarzumian and Chandrasekhar. After presenting the fundamental equations of classical transport theory and of invariant imbedding, the authors explain the computational methods and explore certain properties of the solutions. Tables are given, for the ideal case of spherical or isotropic elementary scattering and for various values of the absorption coefficient, of the reflected intensity in various directions when an incident beam falls at various angles on a slab of finite thickness. 343 pp.

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