INVERSE PROBLEMS IN RADIATIVE TRANSFER: LAYERED MEDIA

Abstract

A slab is considered which consists of two layers which absorb and scatter light. The basic differential-integral equation for the intensity of the diffusely reflected light is given, the source being uniform parallel rays. The nature of each layer is determined using measurements of the light diffusely reflected from the slab. This is a nonlinear boundary-value problem and may be resolved computationally using the technique of quasilinearization. Numerical examples and FORTRAN programs are provided.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1964
Accession Number
AD0610621

Entities

People

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

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Digital Computers
  • Equations
  • Gaussian Quadrature
  • Integral Equations
  • Intensity
  • Inverse Problems
  • Iterations
  • Linear Algebraic Equations
  • Linear Differential Equations
  • Measurement
  • Nonlinear Differential Equations
  • Optical Properties
  • Radiative Transfer
  • Scattering

Fields of Study

  • Physics

Readers

  • Atmospheric Remote Sensing.
  • Calculus or Mathematical Analysis
  • Wave Propagation and Nonlinear Chaotic Dynamics.