Research on the Inverse Problem of Scattering.

Abstract

The activities done under the grant for the fiscal year 1982 are summarized. Primary emphasis has been the expansion of the applications of the Gelfand-Levitan formalism to provide examples of potentials for which the Schroedinger equation has unusual spectral properties and thereby generalize the kinds of spectral representation which one can have. The investigators were partially successful in considering a case in which the potential is associated with a non-analytic reflection coefficient and a case in which the impulse response is a square pulse. The latter case may be of interest in providing passive means of convoluting a signal with a square pulse.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1982
Accession Number
ADA136493

Entities

People

  • H. E. Moses

Tags

DTIC Thesaurus Topics

  • Acoustic Waves
  • Air Force
  • Air Force Facilities
  • Classification
  • Coefficients
  • Equations
  • Information Science
  • Inverse Problems
  • Military Research
  • Reflection
  • Scattering
  • Scientific Research
  • Security
  • Standards
  • Universities
  • Wave Equations

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.
  • Technical Research and Report Writing.