Many waveguide components in the integrated optics are built with bending structures, such as Y-branches, couplers, tapered waveguides, etc. The bending angles are getting larger and larger in order to fill into a smaller integrated optical circuit. The influences of wide bending angles are no longer ignorable.
Commercially available beam-propagation method (BPM) design tools are inadequate for simulating and optimizing the problem we consider. These include tightly curved waveguide sections, reflection/transmission from slanted end facets and U-turn reflectors. In this thesis, we applied the coupled transverse-mode integral-equation (CTMIE) formulation and mode matching method to study the field distribution in a 2-dimentional rectangular waveguide structure with perfect boundary conditions. The problem is first separated into parts and then converted into a block-diagonal matrix equation.
By considering the symmetry of the bending structures, the original problem is broken down to two smaller problems each with it¡¦s own boundary conditions. The combined solutions provide the desired results.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0702101-160947 |
| Date | 02 July 2001 |
| Creators | Shih, You-Jang |
| Contributors | Hung-Wen Chang, N. H. Sun, A. K. Chu |
| 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-0702101-160947 |
| Rights | withheld, Copyright information available at source archive |
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