Invariant imbedding and perturbation techniques applied to diffuse reflection from spherical shells

by Richard Ernest Bellman, H. H. Natsuyama, Robert E. Kalaba


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Presentation of a method for integrating numerically the invariant imbedding relation for the diffuse reflection coefficient of a spherical shell. The reflection coefficient of a shell is related to that of a slab via a perturbation technique. The results of some test calculations are presented; they compare well with the results obtained earlier using a different method. The perturbation technique also proves useful for quite large values of the perturbation parameter. 15 pp. (See also RM-4617-NASA.)

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