Research on the Inverse Problem of Scattering.

Abstract

Some progress was made in relating the inverse scattering problem to causality. In particular, Newton's 'Miracle' formula for the potential in three-dimensional inverse scattering was derived purely from causality considerations. Moreover, the one-dimensional analogue indicated some possible problems when point eigenvalues were present. Contents: Eigenvalues and Eigenfunctions Associated with the Gel'fand-Levitan Equation, Phases of Complex Functions from the Amplitudes of the Functions and the Amplitudes of the Fourier and Mellin Transforms, and The Use of Comparison Filters in Linear Filter Theory.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1984
Accession Number
ADA161248

Entities

People

  • Harvey E. Moses

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Amplitude
  • Analogs
  • Eigenvalues
  • Equations
  • Information Science
  • Integral Equations
  • Integrals
  • Intensity
  • Inverse Problems
  • Inverse Scattering
  • Mathematical Filters
  • Power Spectra
  • Real Variables
  • Scattering
  • Three Dimensional
  • Universities
  • Variational Principles

Readers

  • Calculus or Mathematical Analysis