We have developed a rigorous leaky-mode analysis on the antiresonant reflecting optical waveguides (ARROW¡¦s) using a so-called ¡§coupled electric (CE) coupled magnetic (CH) field method.¡¨ Radiation loss characteristics and the field distribution of the ARROW are analyzed in detail. Meanwhile, both the refractive indices and the thickness dependence for the isolation and distinction of modes are also investigated in this thesis. From the CE¡VCH method, the associated complex symmetric tridiagonal matrices are derived to solve the modal solutions via the eigenvalue-eigenvector technique. The uniquely designed formulation of CE¡VCH method yields better numerical properties, specifically in calculating the field distribution. This is suitable for any combination of materials and is capable of handling complex problems such as the leaky characteristics for both lossless and lossy cases.
To quickly solve the complex roots of the ARROW, a set of accurate closed-form approximations for estimating both the field distribution and complex propagating constant have been derived from the CE¡VCH matrices. These first-order approximations provide six significant figures of the real part of the propagation constant
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0719105-112534 |
| Date | 19 July 2005 |
| Creators | Sheng, Meng-Huei |
| Contributors | Ann-Kuo Chu, Hung-Wen Chang, Nai-Hsiang Sun, Wood-Hi Chang, Tzyy-Sheng Horng |
| Publisher | NSYSU |
| Source Sets | NSYSU Electronic Thesis and Dissertation Archive |
| Language | English |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0719105-112534 |
| Rights | not_available, Copyright information available at source archive |
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