Scattering Theory for Diffraction Gratings.

Abstract

Scattering theory is developed for plane diffraction gratings. The author's theory of Rayleigh-Bloch wave expansions is used to construct wave operators and a scattering operator for such gratings. For gratings that admit no surface waves, transient wave fields near the gratings are shown to behave for large times like free waves and corresponding asymptotic wave functions are calculated. These results are applied to analyze the echoes from gratings of signals due to localized sources. Finally, the echoes of sources remote from the grating are estimated and shown to be completely characterized by the S-matrix and the signal waveform. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1980
Accession Number
ADA092615

Entities

People

  • Calvin H. Wilcox

Organizations

  • University of Utah

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Boundary Value Problems
  • Contractors
  • Contracts
  • Diffraction
  • Electromagnetic Fields
  • Equations
  • Governments
  • Gratings (Spectra)
  • Mathematics
  • Scattering
  • Surface Waves
  • United States Government
  • Wave Functions
  • Waveforms
  • Waves

Fields of Study

  • Physics

Readers

  • Image Processing and Computer Vision.
  • Plasma Physics / Magnetohydrodynamics