WAVE PROPAGATION IN RANDOM MEDIA

Abstract

Wave propagation and random media are defined, and the nature of the mathematical problems arising in random media is described. The two principal types of methods for solving these problems--honest and dishonest methods--are explained. These methods are first illustrated by considering the geometrical optics of a random medium by one method of each type. Some new results are obtained by an honest method and some errors in a previous work are pointed out. Comparison is made between the results of the two methods and the reasons why they disagree are explained. As the propagation in random media is described. The two principal types of methods for solving these problems--honest and dishonest methods--are explained. These methods are first illustrated by considering the geometrical optics of a random medium by one method of each type. Some new results are obtained by an honest method and some errors in a previous work are pointed out. Comparison is made between the results of the two methods and the reasons why they disagree are explained. As a second illustration of an honest method, an analysis of the reduced wave equation in a random medium is presented. Some known results are obtained in a new way which is simpler than the usual one and which appears to be capable of yielding further results.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1960
Accession Number
AD0254972

Entities

People

  • Joseph B. Keller

Organizations

  • New York University

Tags

Communities of Interest

  • Advanced Electronics
  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Amplitude
  • Boundary Value Problems
  • Coefficients
  • Differential Equations
  • Equations
  • Fokker Planck Equations
  • Formulas (Mathematics)
  • Integral Equations
  • Integrals
  • Partial Differential Equations
  • Probability
  • Probability Distributions
  • Refractive Index
  • Scattering
  • Statistics
  • Wave Equations
  • Wave Propagation

Fields of Study

  • Mathematics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Regression Analysis.