The Inverse Reflection Problem for a Smoothly Stratified Elastic Medium.

Abstract

The subject of this paper is a version of the inverse reflection problem for a smoothly stratified elastic medium. The same mathematics describes the inverse problem of the vibrating string. This problem is solved in a constructive way. Also, a priori estimates are derived which exhibit the continuous dependence of the solution (index of refraction, relative sound speed) on the data (scattering or reflection measurements). (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1979
Accession Number
ADA079708

Entities

People

  • W. Symes

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Boundary Value Problems
  • Cauchy Problem
  • Differential Equations
  • Elastic Waves
  • Equations
  • Formulas (Mathematics)
  • Integral Equations
  • Inverse Problems
  • Inverse Scattering
  • Materials
  • Mathematics
  • Refraction
  • Refractive Index
  • Scattering
  • United States
  • Volterra Equations

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.
  • Structural Dynamics.
  • Wave Propagation and Nonlinear Chaotic Dynamics.