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

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

Published 1965

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

Purchase Print Copy

 Format Price
Add to Cart Paperback15 pages $20.00

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.)

This report is part of the RAND research memorandum series. The Research Memorandum was a product of RAND from 1948 to 1973 that represented working papers meant to report current results of RAND research to appropriate audiences.

This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit www.rand.org/pubs/permissions.

RAND is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.