FLUX EQUIVALENCES AMONG RAYLEIGH, ISOTROPIC, AND OTHER SCATTERING MODELS,
Abstract
High-precision numerical methods are used to find the transmitted and reflected fluxes for conservative isotropic scattering and Rayleigh scattering, for a wide range of slab thicknesses. Idealized models are then used to derive simple analytical expressions. These expressions are evaluated numerically, and the results are compared against the earlier calculations. The fluxes from all models are in excellent agreement with the high-precision calculations for all optical thicknesses from zero to fifty, indicating that the formulas derived provide very good approximations to the diffusely reflected fluxes. It is also shown that the external fluxes are virtually independent of the nature of the local scattering law for the cases considered.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1968
- Accession Number
- AD0664904
Entities
People
- Harriet H. Kagiwada
- R. Segerblom
- Robert E. Kalaba
Organizations
- RAND Corporation