ANALYTICAL AND COMPUTATIONAL TECHNIQUES FOR MULTIPLE SCATTERING IN INHOMOGENEOUS FINITE SLABS,

Abstract

In AD-437 813 and AD-610 061 the invariant imbedding and resolvent procedures were applied to the solution of the photon diffusion equation in a finite homogeneous slab. In this memorandum these techniques are extended to determine the integro-differential equations for the photon emergence probability in a finite isotropically scattering flat layer of arbitrary stratification. Furthermore, several integro-differential equations for Chandrasekhar's X and Y functions are found, taking into consideration the polarity of the radiation.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1965
Accession Number
AD0610555

Entities

People

  • Harriet H. Kagiwada
  • Richard E. Bellman
  • Robert E. Kalaba
  • Sueo Ueno

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Diffusion
  • Equations
  • Layers
  • Mathematics
  • Polarity
  • Probability
  • Radiation
  • Scattering

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics
  • Solar Physics