Spectral-Iterative Analysis of Electromagnetic Radiation and Scattering Problems (radar-Cross-Section, Integral Equation)

Integral equations in electromagnetics typically are convolutional in nature. When the geometry of the problem permits, the unknown function can be expanded in a set of identical, evenly spaced basis functions. If the integral equation is tested in the same way, the continuous convolutions reduce to discrete convolutions. These operations can then be readily computed by the Fast-Fourier Transform algorithm resulting in a significant reduction in computer time. This spectral domain method of calculating convolutions is incorporated into an iterative algorithm to provide a numerically efficient means of solving integral equations. This thesis develops and applies two such iterative techniques.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Electrical Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2014

Author dc:creator

• Ray, Scott Lee

• Engineering, Electronics and Electrical
• Remote Sensing

Identifier

(UMI)AAI8502278

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/69293