Exterior-Interior Aperture Coupling of a Rectangular Cavity with Wire Obstacle.

Abstract

In this work, the exterior-interior coupling problem of a cavity backed aperture in a perfectly conducting infinite sheet is considered. The cavity is assumed to be rectangular and contains a perfectly conducting obstacle. For numerical considerations the obstacle is taken to be a straight, thin wire, oriented perpendicular to one of the cavity walls. The problem is formulated in the frequency domain with an exp(i(omega)t) time dependence. The dyadic formulation of this vector electromagnetic boundary value problem is given. The controversy over the longitudinal wave functions and their contribution to field dyads is resolved. Specific attention is given to the singularities and completeness of the Green's dyads' eigenfunction expansions. Numerically tractable integral equations for the aperture electric fields are obtained. A summation method is developed for evaluation of otherwise slowly converging eigenfunction expansions of potential dyads when source and observation points become close. Suggestions for future extensions of this work are discussed. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Nov 30, 1978
Accession Number
ADA064587

Entities

People

  • William Arthur Johnson

Organizations

  • University of Arizona

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Asymptotic Series
  • Boundary Value Problems
  • Computational Science
  • Computers
  • Delta Functions
  • Differential Equations
  • Electric Fields
  • Electromagnetic Fields
  • Engineering
  • Equations
  • Integral Equations
  • Theorems
  • Three Dimensional
  • Two Dimensional
  • Wave Equations
  • Wave Functions

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Microwave Engineering.
  • Wave Propagation and Nonlinear Chaotic Dynamics.