## Date of Award

Summer 2013

## Document Type

Thesis

## Degree Name

Master of Science (MS)

## Department

Electrical and Computer Engineering

## First Advisor

Richie, James E.

## Second Advisor

Petted, Brian

## Third Advisor

Yaz, Edwin E.

## Abstract

In an electromagnetic scattering problem, an incoming electromagnetic wave interacts with an object. The object is typically located in some medium, such as free space. When this electromagnetic wave becomes incident upon the object, the wave scatters. The goal of this work is to analyze the scattered fields for three different incoming wave types: a plane wave, a monopole line source, and a multipole line source. Each source is incident on an infinitely long circular cylinder of lossless dielectric material. Each source has a unique scattering characteristic.

The volume equivalence principle is used to replace the object geometry with mathematically equivalent current filaments. An electric field integral equation is developed using the volume integral method. The integral equation is solved by a linear system of equations developed using the method of moments.

The method of moments solution is compared to the analytic solution to gauge the accuracy of the method. Many properties of the problem are varied including: the cylinder size, the dielectric constant, and, if applicable to the source type, the location, polarity, and mode. Differences in accuracy due to field type are noted. It is the intention of this research to lay the groundwork for a computer program capable of computing field patterns for non-circular problem geometries which cannot be easily solved using a general analytic approach. Examples of such problems include elliptical objects, objects with sharp corners, three dimensional objects, and objects with gradient features or varying dielectric properties.