SOME MATHEMATICAL ASPECTS OF MULTIPLE SCATTERING IN A FINITE INHOMOGENEOUS SLAB WITH ANISOTROPIC SCATTERING.

Abstract

The problem of radiative transfer in a finite inhomogeneous slab with anisotropic scattering is discussed. Some integro-differential equations with initial conditions are derived for the internal intensity, the source function, and the probability of photon emergence, with the aid of the invariant imbedding technique. These new equations are suitable for numerical computation with a large digital computer. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1965
Accession Number
AD0615320

Entities

People

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

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Computations
  • Computers
  • Differential Equations
  • Digital Computers
  • Equations
  • Intensity
  • Mathematics
  • Radiative Transfer
  • Scattering

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Spectroscopy.
  • Theoretical Analysis.