Scattering from Superquadric Surfaces

Abstract

Electromagnetic reflection from superquadric surfaces in 2-D is examined. A finite number of zero-curvature points on the surface are identified, and Geometrical Optics is shown to fail at these points. A correction for the failure, based on Physical Optics, is derived via an asymptotic approximation of the PO radiation integral. Solutions are obtained for two cases: reflection from the zero-curvature point for all values of the superquadric parameter v, and reflection both near and far from the zero- curvature point when v = 3. The form of the general multiplicative transition (correction) function is postulated heuristically, based on the integral form of a generalized incomplete Airy function. The resulting Uniform Geometrical Optics (UGO) result compares very favorably with Physical Optics and the Method of Moments.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1988
Accession Number
ADA269824

Entities

People

  • L. A. Takacs
  • Ronald Joseph Marhefka

Organizations

  • Ohio State University

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Energy and Power Technologies
  • Ground and Sea Platforms
  • Space

DTIC Thesaurus Topics

  • Asymptotic Series
  • Backscattering
  • Complex Variables
  • Computer Programs
  • Computers
  • Curvature
  • Differential Equations
  • Diffraction
  • Electrical Engineering
  • Electromagnetic Fields
  • Electromagnetic Scattering
  • Engineering
  • Geometry
  • Method Of Moments
  • Radiation
  • Scattering
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Wave Propagation and Nonlinear Chaotic Dynamics.