| Summary: | 碩士 === 國立臺灣大學 === 電信工程學研究所 === 88 === This thesis is focused on developing a waveguide simulation software with full functionality and ease of operation. FEM ( Finite Element Method ) and Delaunay triangulation method are used in the program in order to solve the eletromagnetic problem of waveguides with arbitrary shapes.
The program consists of two individual sub-programs. One is to divide the area into small pieces, i.e., meshing by Delaunay triangulation. The other is to solve the gobal matrix and get the field pattens using FEM.
The thesis states with a brief introduction to the FEM theory. We will address the solution steps of FEM in dealing with waveguides with arbitrary shapes. Then, we applied the Delaunay triangulation in the automatic mesh generation. In the input design, a simple but general enough format is tailored to define the waveguides with arbitrary shapes. The mesh division is accomplished by adding nodes followed by the Delaunay triangulations region by region. In the output design, the field patterns of the guided modes are demonstrated graphically.
Finally, the program has been applied to some examples and the results are verified with the theoretical one, if available.
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