INVARIANT IMBEDDING AND SCATTERING OF LIGHT IN A ONE-DIMENSIONAL MEDIUM WITH A MOVING BOUNDARY

Abstract

It is shown how the invariant-imbedding technique is used for the derivation of integral equations governing the reflection and the transmission coefficients of radiation in a one-dimensional medium with a moving boundary. When formulating the source function, account is taken by the relaxation of photon emission under the assumption that during an elementary act of scattering a photon remains in a state of absorption for a certain duration of temporal capture. The Schuster problem for a moving one-dimensional medium is exactly treated. When formulating the transfer equations, the influence of the Doppler effect caused by the macroscopic differential motions is considered as a principal agency of the change of frequency on scattering.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1964
Accession Number
AD0437762

Entities

People

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

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Coefficients
  • Delta Functions
  • Differential Equations
  • Doppler Effect
  • Equations
  • Formulas (Mathematics)
  • Frequency
  • Geometry
  • Hyperbolic Differential Equations
  • Integral Equations
  • Integrals
  • Intensity
  • Optical Properties
  • Scattering
  • Thickness

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.