Abstract
A method to obtain the complete electromagnetic scattering properties of discontinuities between arbitrary integrated optical waveguides is presented. The method involves a new generalized scattering matrix, together with the generalized telegraph equations formulism and the modal matching technique. The cross sections of the optical waveguides are simulated by means of a grid of rectangular pixels enclosed by perfectly conducting walls. Radiation losses as well as reflection and transmission coefficients between proper modes can be obtained for single and multiple abrupt discontinuities in monomode and multimode optical waveguides with arbitrary refractive index profile functions. Single and multiple discontinuities in planar and channel optical waveguides have been analyzed. Numerical results on complex scattering coefficients are given. The possibilities of the method for analyzing waveguide photonic crystals as well as optical devices in periodic waveguide structures are demonstrated.
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