Function-Theoretic Techniques for the Electromagnetic Scattering by a Resistive Wedge.
Abstract
Function-theoretic techniques which have been successful in solving electromagnetic scattering problems involving wedges satisfying an impedance boundary condition area used to formulate the scattering by a wedge composed of two resistive sheets. The goal is to investigate the possibility of generalizing the techniques to the two region problem, characterized by nonzero fields in both the interior and exterior of the wedge. The particular techniques considered are the method of Maliuzhinets' and the Kontorovich-Lebedev transform. Both techniques involve integral representations (transformations) for the unknown fields, and generation of fucntional equations for the transformed unknown. It is shown that for the resistive wedge, the presence of an interior field results in functional equations of considerably greater complexity than those encountered in similar single region problems which cannot be solved using standard techniques. A novel procedure is developed which replaces the functional equations with integral equations of the Fredholm type. Though exact solutions are not found, an approximate solution is obtained via the method of successive approximations from linear operator theory. The approximation consists of a power series in terms of the resistivity and bounds for its region of convergence are given.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1981
- Accession Number
- ADA110182
Entities
People
- Ivan Joseph Lahaie
Organizations
- University of Michigan