NUMERICAL RESULTS FOR THE AUXILIARY EQUATION OF RADIATIVE TRANSFER,
Abstract
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. In earlier memoranda the authors derived other differential integral equations for the source function viewed as a function of the thickness of the slab. In this memorandum they present the results of extensive calculations of source functions in both graphical and tabular form. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1965
- Accession Number
- AD0614636
Entities
People
- Harriet H. Kagiwada
- Richard E. Bellman
- Robert E. Kalaba
Organizations
- RAND Corporation