Efficient solution of Maxwell's equations using the nonuniform orthogonal finite difference time domain method

The Finite Difference Time Domain (FDTD) method is limited by memory requirements and computation time when applied to large problems, complicated geometries, or geometries with fine features. In this thesis, the nonuniform orthogonal FDTD method is presented and applied to a variety of electromagnetic problems. The nonuniform aspect of the method gives great flexibility in modeling complicated geometries with fine features. Furthermore, the variability of the mesh resolution also enables the user to move the boundaries of the computational domain farther away from the center of the problem without an undue increase in the number of cells. Most significantly, the orthogonality of the method preserves the speed of the conventional FDTD method. These three features of the nonuniform orthogonal FDTD method are demonstrated by means of numerical examples throughout the thesis.

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

2011

Author dc:creator

• Svigelj, John Allan

Contributors dc:contributor

• Mittra, Raj

• Engineering, Electronics and Electrical

Statement dc:rights

• Copyright 1995 Svigelj, John Allan

Language dc:language

eng

Identifier

AAI9543741
(UMI)AAI9543741

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/22297