Recently Developed Formulations of the Inverse Problem in Acoustics and Electromagnetics

Abstract

Recently developed formulations of the inverse problems in acoustics and electromagnetics are described. There are two types of formulations, one in the geometrical optics limit and the other, an exact formulation for the inverse source problem. Both basic formulations are extended to include the realistic problem of a 'limited aperture' of observations. It is also shown that the inverse source formulation can be applied to the problem of reconstruction of media inhomogeneities from remotely sensed field data. The basic physical optics result is that the characteristic function of the scattering obstacle and the phase and range normalized scattering amplitude are a Fourier transform pair. All other formulations lead to Fredholm integral equations of the first kind.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1974
Accession Number
ADA003588

Entities

People

  • Norbert N. Bojarski
  • Norman Bleistein

Organizations

  • Denver Research Institute

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Acoustics
  • Applied Mathematics
  • Boundaries
  • Classification
  • Contracts
  • Equations
  • Far Field
  • Identities
  • Integral Equations
  • Integrals
  • Inverse Problems
  • Inverse Scattering
  • Land Mines
  • Military Research
  • Scattering
  • Wave Phenomena
  • Wave Propagation

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Fluid Dynamics.
  • Image Processing and Computer Vision.