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Author

Kai Jiang

Date of Award

2006

Degree Type

Thesis

Degree Name

Master of Applied Science (MASc)

Department

Electrical and Computer Engineering

Supervisor

W. P. Huang

Language

English

Abstract

An effective mode matching method (MMM) is developed for dealing with three- dimensional (3D) dielectiic waveguide structures with arbitrary transverse index profiles and scattering interfaces along the longitudinal waveguide axis. With the introduction of a perfectly conducting box coated by a perfectly matched layer (PML) as the lateral boundary, the method circumvents the inherent difficulties associated with the continuous radiation modes of open waveguide structures. The semi and full-vectorial finite difference (FD) methods are employed for mode calculation. The guideline for choice of the PML parameters in the mode matching analysis is discussed via a two-dimensional (2D) waveguide structure with a single step discontinuity. We show results for the 3D waveguide air gap, facet and polarization converter. The effectiveness and efficiency of the method are validated.

McMaster University Library

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