Invariant Imbedding and Diffuse Reflection of Radiation Due to a Distributed Point Source--I and II.

by Richard Ernest Bellman, Robert E. Kalaba, S. Ueno


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The invariant imbedding technique is used to derive the integral equation governing the scattering function for the diffuse reflection of a pencil of radiation by a finite, plane-parallel, inhomogeneous, nonemitting, and anisotropically scattering atmosphere. The Laplace transform of the integral equation is provided for computational purposes. 38 pp.

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