RADIATIVE TRANSFER IN SPHERICAL SHELL ATMOSPHERES WITH RADIAL SYMMETRY,

Abstract

Initial-value systems are obtained for the scattering and transmission functions and emergent intensities for inhomogeneous, anisotropically scattering spherical media. Integro-differential equations are derived from transfer equations for each of the following problems: (1) an externally illuminated spherical shell atmosphere with a reflecting inner surface, (2) a spherical shell atmosphere surrounding a perfect black core, (3) a spherical shell atmosphere surrounding a vacuum core with a central point source, and (4) a spherical shell atmosphere with internal sources of radiation. The equations obtained in this study are new and exact. Some are derived with the aid of the probabilistic method. These equations can be integrated easily in numerical computation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1969
Accession Number
AD0698321

Entities

People

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

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Atmospheres
  • Computations
  • Differential Equations
  • Equations
  • Intensity
  • Mathematics
  • Radiation
  • Radiative Transfer
  • Scattering

Fields of Study

  • Physics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Space Exploration and Orbital Mechanics.