An Inverse Method for Determining Small Variations in Propagation Speed.

Abstract

The inverse problem of determining small variations in propagation speed from observations of signals which pass through the medium of interest and are then observed remotely is considered. That the variation satisfies an integral equation of integral transform type with an atypical kernel is shown. In a variety of examples for the scalar and vector wave equation (Maxwell's equations) and the equations of linear elasticity, this integral equation is solved by elementary means.

Document Details

Document Type
Technical Report
Publication Date
Apr 20, 1976
Accession Number
ADA025296

Entities

People

  • Jack K. Cohen
  • Norman Bleistein

Organizations

  • Denver Research Institute

Tags

DTIC Thesaurus Topics

  • Convolution Integrals
  • Elastic Properties
  • Equations
  • Integral Equations
  • Integral Transforms
  • Integrals
  • Inverse Problems
  • Mathematical Analysis
  • Mathematics
  • Observation
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Acoustical Oceanography.
  • Approximation Theory.
  • Calculus or Mathematical Analysis