Time-dependent diffuse reflection from slabs with multiple scattering

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


Purchase Print Copy

 FormatList Price Price
Add to Cart Paperback29 pages $20.00 $16.00 20% Web Discount

The solution of the time-dependent multiple scattering problem for reflected radiation from homogeneous slabs with a delta-function input. The basic differential-integral equation for the Laplace transform of the reflected radiation is solved computationally. Then the intensity of the reflected radiation is calculated by means of a recently developed numerical procedure for the inversion of Laplace transforms. Sample numerical results are tabulated for five different albedos, for the time histories of the diffuse reflection function for seven incident angles, seven reflected angles, and a thickness of 1.0. 29 pp. Refs.

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

The RAND Corporation 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.