INVARIANT IMBEDDING AND A REFORMULATION OF THE INTERNAL INTENSITY PROBLEM IN TRANSPORT THEORY,

Abstract

Modern electronic computers can integrate in the order of one thousand simultaneous nonlinear ordinary differential equations, given a complete set of initial conditions. One of the aims of the theory of invariant imbedding is to show how to use this capability to resolve significant problems in transport theory. In the present paper the authors show how to compute internal intensities when a finite homogeneous slab is illuminated by uniform parallel rays of radiation. It is assumed that there is absorption and isotropic scattering in the slab. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1965
Accession Number
AD0614031

Entities

People

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

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Absorption
  • Computers
  • Differential Equations
  • Equations
  • Integral Equations
  • Intensity
  • Mathematical Analysis
  • Mathematics
  • Radiation
  • Scattering
  • Transport Ships

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Optical Physics and Photonics.

Technology Areas

  • Microelectronics