Remarks on the Inverse Scattering Problem for Low Frequency Acoustic Waves.

Abstract

In a recent series of papers (2, 3, 4) the author has investigated the low frequency inverse scattering problem for 'hard' and 'soft' infinite cylinders and 'soft' obstacles in space. It is the purpose of this paper to complete the story and consider the inverse scattering problem in space where the obstacle is 'hard', i.e. the boundary condition is of Neumann type. A basic result of the analysis to date is that the low frequency inverse scattering problem can be stabilized. In the case of domains in the plane this is accomplished by transmitting two plane waves from different directions, where the second plane wave is used to determine the transfinite diameter of the obstacle. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 15, 1980
Accession Number
ADA089875

Entities

People

  • David Colton

Organizations

  • University of Delaware

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Applied Mathematics
  • Boundaries
  • Delaware
  • Far Field
  • Flow
  • Fluid Flow
  • Frequency
  • Integral Equations
  • Inverse Scattering
  • Mathematical Analysis
  • Mathematics
  • Plane Waves
  • Scattering
  • Three Dimensional
  • Waves

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Spectroscopy.
  • Systems Analysis and Design

Technology Areas

  • Space