DIFFUSE TRANSMISSION OF LIGHT FROM A CENTRAL SOURCE THROUGH AN INHOMOGENEOUS SPHERICAL SHELL WITH ISOTROPIC SCATTERING,

Abstract

A partial differential integral equation is derived for the angular distribution of the radiation which is diffusely transmitted through an inhomogeneous, isotropically scattering, spherical shell when there is a constant net flux of radiation normally incident on the inner surface. An equation is also derived for the strength of the diffusely reflected radiation when the shell is illuminated at each point on the outer surface by constant isotropic incident radiation. The equations obtained appear to lend themselves well to numerical solution. Astrophysically, the situation corresponds to determining the brightness of a spherical planetary nebula. As far as is known, the equations are new and exact. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1966
Accession Number
AD0640301

Entities

People

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

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Brightness
  • Equations
  • Integral Equations
  • Integrals
  • Radiation
  • Scattering

Fields of Study

  • Physics

Readers

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

Technology Areas

  • Space