A New Computational Method for Quasi-TE Mode Effective Index in Rib Waveguides
نویسنده
چکیده
ABSTRACT In this paper, we propose a new numerical method for solving a rib waveguide TE-mode problem. In the proposed method, the cross-section of the waveguide is divided into several regions and the refractive index profile and field distribution in each region are expanded into Fourier cosine series, and then are substituted in the wave equation. A second-order differential matrix equation is derived with a closed-form solution obtainable. Finally, with the boundary conditions being used, an eigenmode equation can be derived and solved numerically to give the modal indices. Here, the proposed method is used to deal with a silicon dioxide based rib waveguide. Numerical results show that the presented method is quite efficient, in terms of CPU time, in finding the modal indices accurately. The relative error of the modal index with the proposed method as compared that of the commercial software BeamPROP is less than 10.
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