The dielectric waveguide is an important component used in the optical communication system. In this thesis, we conduct basic research on the propagation constant and the characteristic of the dielectric waveguide. We develop a method to expand 2-D rectangular dielectric waveguide modes with simple orthogonal bases. Furthermore, we improve the convergent rate by expanding waveguide modes with tensor product of properly chosen guiding-mode bases.
We first derive the coupled differential equations of the two transverse magnetic field components which satisfy the continuous boundary conditions across all material interfaces. Then we investigate and verify the accuracy of this method on 1-D rectangular waveguide so that we can apply the technique to 2-D rectangular waveguides. By means of linear combination of simple 2-D orthogonal bases, we expand the mode of rectangular dielectric waveguide. Through rigorous mathematical closed-form integration, we obtain the equivalent matrix whose eigenvalues and associated eigenvectors become the mode propagation constants and mode field distribution functions of the underlying 2-D dielectric waveguide. Whenever symmetry exists we can reduce the size of the problem by choosing appropriate boundary conditions in accordance to particular mode polarization desired.
This method provides at least four significant digits of propagation constant and detailed field description of the rectangular dielectric waveguide. We believe that it is an effective method for modal analysis of 2-D complex dielectric-waveguides.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0703104-142402 |
| Date | 03 July 2004 |
| Creators | Tsao, Shuo-fang |
| Contributors | Hung-wen Chang, Tzong-lin Wu, Fu-jen Kao, Nai-Hsiang Sun |
| Publisher | NSYSU |
| Source Sets | NSYSU Electronic Thesis and Dissertation Archive |
| Language | Cholon |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0703104-142402 |
| Rights | withheld, Copyright information available at source archive |
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