Abstract
The purpose of this paper is to develop high-order vectorial finite-element methods to characterize the
bending loss in optical waveguides. In order to avoid the use of approximate models based on equivalent refraction
index or conformal mapping, the fully vectorial Maxwell system is expressed in a general orthogonal coordinate
system. Boundary reflections are circumvented by a proper adaptation of the perfectly matched layer technique.
Application to bent rib optical waveguides in cylindrical coordinates and bent circular fiber in toroidal
coordinates is presented. In the latter case, a suitable family of quadrangular finite elements has been developed
and was shown to give interesting results, both in that situation and in the Cartesian coordinate situation.
© 2007 IEEE
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