Author

Yu Zhang

Date of Award

8-2010

Degree Type

Thesis

Degree Name

Master of Applied Science (MASc)

Department

Electrical and Computer Engineering

Supervisor

Mohamed H. Bakr

Co-Supervisor

Natalia K. Nikolova

Language

English

Abstract

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The inverse source problem of electromagnetics for homogeneous background medium

is investigated numerically using the Transmission-Line Matrix (TLM) method. By transforming all sources and fields into their equivalent link impulses inside a TLM computational domain, a discrete linear inversion formulation is developed. Our approach solves for the unknown source distribution inside a given source region using the near-field measurements on its boundary. Unlike the conventional frequency domain treatments, both our source solution and the field measurements are obtained in the time domain. The non-uniqueness of the inverse source problem is addressed by addit ionally imposing a smoothness prior constraint. First-order time and spatial derivatives of the source distribut ion are minimized. The source reconstruction algorithm introduced in this thesis is illustrated through various two-dimensional numerical examples. It is also shown that our algorithm is robust against the noise from the boundary field measurements.

McMaster University Library

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