Convergent Light Scheme for Light Scattering from an Arbitrary Deep Metallic Grating.

Abstract

The justification of continuing the Rayleigh expansion to the grating's surface surface (the Rayleigh hypothesis) and its convergence properties are considered. A class of gratings for which the Rayleigh hypothesis is exact is identified, a prime example of which is the sinusoidal grating (SG). Based on identification of the origin of the limited stability of the Rayleigh expansion, a modified expansion is introduced, dubbed as the dressed Rayleigh expansion. This new expansion presumably has excellent convergence properties as explicitly demonstrated for the sinusoidal grating. The dimensionality N of the matrix which must be inverted for a SG of arbitrary depth g and periodicity d is found to be N approx. 8 g/d. Keywords: Light scattering; Laser; Deep Metallic Grating; Rayleigh hypothesis; Convergent scheme; Sinusoidal grating.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1985
Accession Number
ADA161005

Entities

People

  • Dan Agassi
  • Thomas F. George

Organizations

  • University at Buffalo

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Chemical Engineering
  • Chemistry
  • Convergence
  • Electric Fields
  • Electromagnetic Fields
  • Light Scattering
  • Maryland
  • Materials
  • Materials Science
  • Military Research
  • New York
  • Scattering
  • Solid State Physics
  • United States
  • Universities

Readers

  • Approximation Theory.
  • Optical Physics and Photonics.
  • Seismology

Technology Areas

  • Directed Energy