SOURCE FUNCTIONS FOR AN ISOTROPICALLY SCATTERING ATMOSPHERE BOUNDED BY A SPECULAR REFLECTOR,

Abstract

The paper presents a method for reducing the calculation of the source function for a specular reflector to the solution of a set of ordinary differential equations with known initial conditions. The basic Fredholm integral equation that these source functions satisfy is transformed into a Cauchy system with known initial conditions. To deal numerically with the differential-integral equations, the integrals appearing are approximated by finite sums. Some typical computational results are displayed for the case of a perfect specular reflector at the bottom. These are contrasted with earlier results for an atmosphere having a perfect absorber at the bottom. The accuracy of the numerical results has been considered in detail.

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1969
Accession Number
AD0698736

Entities

People

  • J. Casti
  • Robert E. Kalaba
  • S. Ueno

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Atmospheres
  • Differential Equations
  • Equations
  • Integral Equations
  • Integrals
  • Mathematical Analysis
  • Reflectors

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering