## Abstract

The abrupt transition coupling between two five-layered symmetric slab waveguides is analyzed by means of an integral equation appropriate for the boundary-value problem. A complete set of modes is employed to describe the fields inside both waveguides, and the integral equation is solved by a Neumann-series iterative procedure giving highly accurate results, especially in the case of small difference $(\sim 1\%)$ between the refractive indices of the core and cladding regions. The reflection and coupling coefficients of the guided waves as well as the total power of the radiation modes are computed. Numerical results are presented for several coupling geometries, and misalignment losses are also calculated. Finally, a comparison with relevant previously published papers is made.

© 1998 Optical Society of America

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