Abstract

The vector finite-element method in the interior and the boundary integral equation of the exterior domain are investigated in order to analyze open dielectric waveguides. Boundary conditions are obtained by applying the continuity of the magnetic and electric fields at the surface of the waveguide. Since both the finite-element method and boundary integral equations have the final matrices of the form $Ax=\lambda Bx$, the pseudoinverse method with a penalty factor is used. This new method provides the simultaneous solutions of propagating modes at the operating frequency, and it shows good agreement with previously published results for the analysis of the rectangular waveguide.

© 2009 Optical Society of America

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