THE EQUIVALENCE OF THE ISOTROPIC AND MONODIRECTIONAL SOURCE PROBLEMS,

Abstract

A demonstration that the solution of the problem of multiple scattering in a slab that is illuminated by parallel rays of radiation can be expressed in terms of the solution of the problem in which there are isotropic sources of radiation. The quantities of interest for the monodirectional case (the X, Y, I, S, J, and T functions) are given algebraically in terms of the b and h functions that express the internal intensities for the isotropic source problem. For I, this avoids a matrix inversion, thus overcoming a difficulty associated with the direct application of Chandrasekhar's invariance principles. This study is an extension of RM-4906-PR (AD-630 121). (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1967
Accession Number
AD0648506

Entities

People

  • Harriet H. Kagiwada
  • Robert E. Kalaba

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Demonstrations
  • Intensity
  • Invariance
  • Inversion
  • Radiation

Fields of Study

  • Mathematics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Spectroscopy.
  • Systems Analysis and Design