Mathematical Algorithms for Multi-Dimensional Inverse Scattering Problems in Inhomogeneous Media.

Abstract

A number of numerical methods for multi-dimensional inverse scattering problems was developed theoretically, and some of them were tested computationally. Some related results on numerical methods for ill-posed Cauchy problems and phase retrieval problems were developed. The most promising direction of this research is an idea of the so- called 'Carleman's Weight Method'. This idea allows one to construct globablly convex cost functionals for a number of multi-dimensional inverse scattering problems.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1996
Accession Number
ADA307873

Entities

People

  • Michael Klibanov

Organizations

  • University of North Carolina at Charlotte

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Cauchy Problem
  • Computations
  • Convergence
  • Diagnostic Imaging
  • Differential Equations
  • Equations
  • Images
  • Inverse Problems
  • Inverse Scattering
  • Mathematical Analysis
  • Mathematics
  • Measurement
  • Three Dimensional
  • Two Dimensional
  • Wave Equations

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Calculus or Mathematical Analysis
  • Wave Propagation and Nonlinear Chaotic Dynamics.