Invariant Imbedding and Radiative Transfer in Slabs of Finite Thickness.

by Richard Ernest Bellman, Robert E. Kalaba, M. C. Prestrud


Purchase Print Copy

 FormatList Price Price
Add to Cart Paperback343 pages $65.00 $52.00 20% Web Discount

One of a projected series of Rand publications on the application of the theory of invariant imbedding to certain computational problems in radiative transfer. The method stems from an extension of the ideas of Ambarzumian and Chandrasekhar. After presenting the fundamental equations of classical transport theory and of invariant imbedding, the authors explain the computational methods and explore certain properties of the solutions. Tables are given, for the ideal case of spherical or isotropic elementary scattering and for various values of the absorption coefficient, of the reflected intensity in various directions when an incident beam falls at various angles on a slab of finite thickness. 343 pp.

This report is part of the RAND Corporation Report series. The report was a product of the RAND Corporation from 1948 to 1993 that represented the principal publication documenting and transmitting RAND's major research findings and final research.

Our mission to help improve policy and decisionmaking through research and analysis is enabled through our core values of quality and objectivity and our unwavering commitment to the highest level of integrity and ethical behavior. To help ensure our research and analysis are rigorous, objective, and nonpartisan, we subject our research publications to a robust and exacting quality-assurance process; avoid both the appearance and reality of financial and other conflicts of interest through staff training, project screening, and a policy of mandatory disclosure; and pursue transparency in our research engagements through our commitment to the open publication of our research findings and recommendations, disclosure of the source of funding of published research, and policies to ensure intellectual independence. For more information, visit

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.