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Published on: November 30, 2012
Integral equation analysis of coupling in symmetric grating-assisted optical waveguides
Nikolaos L Tsitsas1, Dimitra I Kaklamani, Nikolaos K Uzunoglu
1School of Electrical and Computer Engineering, National Technical University of Athens, Greece. ntsitsas@esd.ntua.gr
Abstract:
The propagation and coupling phenomena in grating-assisted optical couplers are analyzed by using an integral equation formulation and applying an entire-domain Galerkin technique. The proposed method constitutes a special type of the method of moments and provides high numerical stability and controllable accuracy. The electric field in the grating region is the unknown quantity and the resulting integral equation is subsequently solved by using Galerkin's method. The propagation constants of the guided waves are computed accurately by determining the singular points of the corresponding system's matrix. Numerical results regarding the propagation constants are presented for various coupler parameters, and the effect of the grating's physical and geometric characteristics on the coupling process is investigated.
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