An Exact Semi-Analytic Method for Solving Rib-Type Waveguides Problems

ASIAIR > College of Computer Science > Department of Photonics and Communication Engineering > Journal Article > Item 310904400/9520

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Title:	An Exact Semi-Analytic Method for Solving Rib-Type Waveguides Problems
Authors:	C.S.Hsiao
Keywords:	eigenmode equation;Fourier cosine series expansion;rib-type waveguides;semi-analytic method
Date:	2008-05
Issue Date:	2010-05-12 01:11:51 (UTC+0)
Publisher:	Asia University
Abstract:	A new semi-analytic method for solving optical rib-type waveguide problems is presented. In the method, the cross-section of a rib-type waveguide is divided into several regions. In each region, the refractive index profile and field distribution are expanded into Fourier cosine series, and then are substituted in the wave equation. A second-order differential matrix equation is then derived for each region, with a closed-form solution obtainable. With the boundary conditions used, an eigenmode equation for the rib waveguide can be derived and solved numerically to give the modal indices. Here, the presented method is used to deal with two rib waveguides in different geometric dimensions and/or compositions, respectively. Computational results show that the presented method is quite efficient, in terms of CPU time, in finding the modal indices accurately. The relative error in computing the modal index with the method is about 10- 5-10- 6.
Relation:	Journal of Modern Optics 55(8):1315-1329
Appears in Collections:	[Department of Photonics and Communication Engineering] Journal Article

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