GEOMETRICAL OPTICS FOR TEMPORAL AND SPATIAL DISPERSIVE MEDIA.

Abstract

A method of finding the asymptotic solution of problems of wave propagation in dispersive media is presented. The medium is supposed to be linear, nonhomogeneous, temporal and spatial dispersive. Two large parameters, rho, mu are introduced; the first of them describing the spatial dispersion of the medium. The method is an attempt to find asymptotic solutions of a special kind of integro-differential equations. The expansions lead to a ray method, i.e., functions that occur satisfy ordinary differential equations along special characteristics curves: the rays. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1969
Accession Number
AD0698812

Entities

People

  • Lennart Marin

Organizations

  • California Institute of Technology

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Dispersions
  • Equations
  • Mathematics
  • Wave Propagation

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)