Penetrable Wedge Analysis

Abstract

The required inner products in the Galerkin solution of the integral equation, using a basis of exponential-weighted Laguerre polynomials, are expressed as series of algebraic forms. We are presently evaluating these series to get a feel for the invertibility of the integral equation (transformed to a system of linear equations), prior to any inclusion of the anticipated asymptotic behavior from the Sommerfeld half-space problem. If this unmodified system of the first kind inverts nicely, then its inverse can be used to express the boundary value problem as a system of the second kind; resulting in a whole new set of opportunities for iterative or perturbation series approaches.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Feb 03, 1994
Accession Number
ADA277219

Entities

People

  • Robert W. Scarstein

Organizations

  • University of Alabama

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Complex Variables
  • Dielectrics
  • Differential Equations
  • Electrical Engineering
  • Electricity
  • Electromagnetic Fields
  • Electrostatic Fields
  • Engineering
  • Equations
  • Integral Equations
  • Integral Transforms
  • Integrals
  • Materials
  • Mathematical Analysis
  • New York
  • Scattering

Fields of Study

  • Mathematics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Linear Algebra
  • Systems Analysis and Design

Technology Areas

  • Space