Numerical results for the auxiliary equation of radiative transfer

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

ResearchPublished 1965

A basic problem in astrophysics, meteorology, and neutron transport theory is the determination of the internal intensity produced when uniform parallel rays illuminate a slab of finite thickness which both absorbs and scatters radiation isotropically. One approach to this problem is through the intermediate step of determining the source function which represents the rate of production of scattered radiation per unit volume per unit solid angle as a function of the depth below the top surface. Ordinarily this function is characterized as the solution of a singular integral equation, which presents difficulties from the numerical viewpoint. The Memorandum presents the results of extensive calculations of source functions in both graphical and tabular form. 29 pp. (See also RM-4531-PR.)

Order a Print Copy

Format
Paperback
Page count
29 pages
List Price
$20.00
Buy link
Add to Cart

Topics

Document Details

  • Copyright: RAND Corporation
  • Availability: Available
  • Year: 1965
  • Print Format: Paperback
  • Paperback Pages: 29
  • Paperback Price: $20.00
  • Document Number: RM-4572-PR

Citation

RAND Style Manual
Bellman, Richard Ernest, H. H. Natsuyama, and Robert E. Kalaba, Numerical results for the auxiliary equation of radiative transfer, RAND Corporation, RM-4572-PR, 1965. As of September 23, 2024: https://www.rand.org/pubs/research_memoranda/RM4572.html
Chicago Manual of Style
Bellman, Richard Ernest, H. H. Natsuyama, and Robert E. Kalaba, Numerical results for the auxiliary equation of radiative transfer. Santa Monica, CA: RAND Corporation, 1965. https://www.rand.org/pubs/research_memoranda/RM4572.html. Also available in print form.
BibTeX RIS

This publication is part of the RAND research memorandum series. The research memorandum series, a product of RAND from 1948 to 1973, included 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.