Vector analysis of optical dielectric waveguide bends using finite-difference method

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Abstract
A full-vectorial analysis of optical dielectric waveguide bends using the finite-difference method has been developed. The formulation was based on the transverse electric field components, E/sub r/ and E/sub z/. To set up the boundary conditions at each dielectric interface, the continuity of E/sub /spl theta//, H/sub /spl theta//, and the tangential component of the electric field, and the discontinuity of the normal component of the electric field were satisfied. The finite-difference scheme was modified to satisfy these boundary conditions. The results of the analysis using the current method is compared with previous results. The optimal offset for 90/spl deg/ bends was obtained, and the losses for these optimal bend structures are also presented.