Abstract
A modified Method of Lines for analyzing integrated optical layered and cylindrical waveguide structures with arbitrary curved interfaces is presented. The structures are shown in Fig. 1 and Fig. 2 for layered waveguide and in Fig. 3 for cylindrical waveguide. Because in each layer or region the refractive index is uniform, so only the Helmholtz equation is needed to solve. The method is full wave analysis for 3D in Cartesian and cylindrical coordinates, respectively. Therefore most complicated structures in the optical domain can be analyzed very well with this method. As examples a rib waveguide and a Bragg grating waveguide are chosen. The results are in good agreement with that in [1] and [3].
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