Diffuse transmission of light from a central source through an inhomogeneous spherical shell with isotropic scattering

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

Purchase Print Copy

 FormatList Price Price
Add to Cart Paperback18 pages $20.00 $16.00 20% Web Discount

A partial integral equation is derived for the angular distribution of the radiation that is diffusely transmitted through an inhomogeneous, isotropically scattering, spherical shell when there is a constant net flux of radiation normally incident on the inner surface. An equation is also derived for the strength of the diffusely reflected radiation when the shell is illuminated at each point on the outer surface by constant isotropic incident radiation. As far as is known the equations are new and exact and appear to lend themselves well to numerical solution. 18 pp.

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.