INVARIANT IMBEDDING AND TIME-DEPENDENT SCATTERING OF LIGHT IN A ONE-DIMENSIONAL MEDIUM

Abstract

By means of the invariant-imbedding technique, the integral equations for the reflection and transmission coefficients of radiation in a one dimensional medium are obtained, allowing for the release of absorbed energy with a random time delay. Furthermore, the reflected and transmitted intensities for the fluorescence problem in a one-dimensional medium are expressed in terms of these coefficients, assuming no distribution of emitting sources in the medium.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1963
Accession Number
AD0407102

Entities

People

  • Richard E. Bellman
  • Robert E. Kalaba
  • Sueo Ueno

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Coefficients
  • Delta Functions
  • Equations
  • Fissionable Materials
  • Integral Equations
  • Integrals
  • Intensity
  • Light Scattering
  • Neutron Flux
  • Optical Properties
  • Probability
  • Radiation
  • Radiative Transfer
  • Reflection
  • Scattering
  • Step Functions

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Spectroscopy.