MULTIPLE ANISOTROPIC SCATTERING IN SLABS WITH AXIALLY SYMMETRIC FIELDS

Abstract

The invariant imbedding approach is applied to the problem of diffuse reflection from a slab having a strongly elongated phase function. The diffuse radiation field is assumed to be axially symmetric. For both analytical and computational convenience, the study suggests using a simple rational function to approximate a strongly peaked phase function. Basic equations are derived for the reflection and source functions, and the reflection function is computed as the solution of an initial-value problem for ordinary differential equations. Numerical results are tabulated for increasingly fierce forward scattering. Two FORTRAN IV programs are included: one for the reflection function and the other for interpolation by expansion in orthogonal polynomials.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1967
Accession Number
AD0646969

Entities

People

  • Harriet Kagiwada
  • Robert E. Kalaba

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Diagrams
  • Difference Equations
  • Differential Equations
  • Equations
  • Forward Scattering
  • Integral Equations
  • Interpolation
  • Inverse Problems
  • Numerical Integration
  • Phase Diagrams
  • Polynomials
  • Precision
  • Radiation
  • Rational Functions
  • Reflection
  • Scattering

Fields of Study

  • Mathematics
  • Physics

Readers

  • Fluid Dynamics.
  • Linear Algebra
  • Wave Propagation and Nonlinear Chaotic Dynamics.