Integral Solution for Diffraction Problems Involving Conducting Surfaces with Complex Geometries. 1. Theory

Abstract

For an arbitrary conducting surface Z(x,y) we obtained an analytical expression for the local refractive index nu as a function of Z, (delta Z/del x), (delta Z/delta y), and the Drude conductivity sigma by using the complex ray-tracing method. The Fresnel coefficients of reflectance and transmittance are then employed, and the value of nu is obtained to determine the scattered and refracted fields. The proposed method has advantages over the methods of solution by the Debye potential, the Laplace transform, and the vector wave equation in the computation of the scattering and absorption parameters of a wide range of complex surface and wave front geometries. The surface integrals obtained in the present study include the surface function in an explicit and concise form.

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1988
Accession Number
ADA192565

Entities

People

  • Mohamed F. El-hewie
  • Richard J. Cook

Organizations

  • Air Force Research Laboratory

Tags

DTIC Thesaurus Topics

  • Absorption
  • Coefficients
  • Computations
  • Conductivity
  • Diffraction
  • Equations
  • Geometry
  • Integrals
  • Mathematics
  • Optical Properties
  • Physical Properties
  • Ray Tracing
  • Reflectance
  • Refractive Index
  • Scattering
  • Wave Equations

Fields of Study

  • Physics

Readers

  • Analytical Mechanics
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering