Numerical techniques for solving differential equations have been vigorously studied, and various techniques have been proposed and investigated for particular problems. Maxwell's equations are the system of partial differential equations which describe the behavior of electromagnetic fields. The methods for solving the equations should be properly chosen depending on the purpose of the analysis and the available computational resources.
In this thesis, we propose a time-domain electromagnetic field modeling technique based on Haar wavelets. The multiresolution nature of the wavelets was used in the formulation, and a time stepping algorithm that is similar to the conventional finite-difference time-domain (FDTD) method was obtained. The proposed technique effectively models realistic structures by virtue of the multi-resolution property; the computational time is reduced approximately by half compared to the conventional FDTD method.
In order to provide a comprehensive understanding of the proposed method, algorithms for one, two and three space dimensions were formulated, validated in terms of the accuracy, and actually applied to various realistic problems.
Various boundary conditions have been formulated and implemented, and in addition, the following applications are addressed: S-parameter extraction for two-dimensional waveguide problems, combined with field singularity correction at metal edges and corners, resonant cavity analyses for validation purposes, and analyses of microwave passive devices with open boundaries such as microstrip low-pass filters and spiral inductors.
An algorithm that needs half the computational effort is equivalent to hardware that is twice as fast. The purpose of this thesis is to make a contribution to the improvement of computational speed in electromagnetic time domain solutions. / Graduate
| Identifer | oai:union.ndltd.org:uvic.ca/oai:dspace.library.uvic.ca:1828/8812 |
| Date | 24 November 2017 |
| Creators | Fujii, Masafumi |
| Contributors | Hoefer, Wolfgang J. R. |
| Source Sets | University of Victoria |
| Language | English, English |
| Detected Language | English |
| Type | Thesis |
| Format | application/pdf |
| Rights | Available to the World Wide Web |
Page generated in 0.0037 seconds