Inverse Scattering Problems for Electromagnetic Waves

Abstract

This project was concerned with the problem of determining the physical and geometric properties of an unknown inhomogeneity from a knowledge of its effect on a given time harmonic electromagnetic wave with particular concern to non-destructive testing and medical imaging. The main accomplishments were: (1) The discovery of a linear method for determining the support of aberrant inhomogeneities without any a priori assumptions on either the frequency or magnitude of the inhomogeneity; (2) The application of this new linear method to problems in microwave medical imaging; (3) The analysis and numerical implementation of a method of perfectly matched lay for the solution of Maxwell's equations; and (4) The derivation of an adaptive method for mesh refinement to produce a far field pattern of prescribed accuracy.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 20, 1998
Accession Number
ADA337286

Entities

People

  • David Colton
  • Peter Monk

Organizations

  • University of Delaware

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Applied Mathematics
  • Boundary Value Problems
  • Diagnostic Imaging
  • Differential Equations
  • Equations
  • Far Field
  • Frequency
  • Integral Equations
  • Inverse Problems
  • Inverse Scattering
  • Materials
  • Mathematics
  • Near Field
  • Numerical Analysis
  • Partial Differential Equations
  • Scattering
  • Wave Propagation

Readers

  • Image Processing and Computer Vision.
  • Systems Analysis and Design
  • Wave Propagation and Nonlinear Chaotic Dynamics.