Date of Award

May 2014

Degree Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Electrical Engineering and Computer Science

Advisor(s)

Tapan K. Sarkar

Second Advisor

Magdalena Salazar-Palma

Keywords

Electromagnetics, Laguerre Transform, Marching-on-in-degree, Method of moment, Numerical Method, Parallel computing

Subject Categories

Engineering

Abstract

The time domain method of moment has been proposed for a long time. The marching-on-in-time solver suffers from late time instability, while the marching-on-in-degree technique can avoid this problem.

This thesis introduces a new temporal basis function and a new Green's function form that improves the computation speed of the marching-on-in-degree technique. This method can be used for the perfect conductor and can also be applied to conductors with loss or dielectric.

As a method of moment solver, this marching-on-in-degree technique must solve a dense matrix equation and it may be time consuming if the objects are very large. Therefore, parallelization and a hybrid method are also proposed to handle large objects.

This thesis will cover all my improvements to the time domain marching-on-in-degree method.

Access

Open Access

Included in

Engineering Commons

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