Inverse Scattering via Skin Effect.

Abstract

We present a stable method for the inverse scattering problem of the Helmholtz equation in two dimensions. The algorithm requires single-frequency scattering data, and is an iterative procedure which resembles the process of layer-stripping. The inversion method is based on the observation that the ill-posedness of the inverse scattering problem causes it to be almost linear in certain regimes. In these regimes, the algorithm solves the resulting quasi-linear equations to produce approximate solution to the inverse problem within a narrow circular layer surrounding the yet unrecovered part of the scatterer. This approximation is used to linearize the underlying narrow circular strip; in the process, the previously obtained solution is refined. The performance of the algorithm is demonstrated with several numerical examples for the special case of radially symmetric scatterers.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1996
Accession Number
ADA309945

Entities

People

  • Yu Chen

Organizations

  • Yale University

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Born Approximations
  • Cauchy Problem
  • Differential Equations
  • Electrical Impedance
  • Equations
  • Forward Scattering
  • Frequency
  • Frequency Domain
  • Helmholtz Equations
  • Integral Equations
  • Inverse Problems
  • Inverse Scattering
  • Partial Differential Equations
  • Riccati Equation
  • Scattering
  • Uncertainty Principle

Readers

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