VFD approach to the computation TE and TM modes in elliptic waveguide on TM grid

FANTI, ALESSANDRO;MONTISCI, GIORGIO;MAZZARELLA, GIUSEPPE;CASULA, GIOVANNI ANDREA

2013-01-01

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Abstract

We describe here a vector finite difference approach (VFD) to the evaluation of eigenvalues and modes of elliptical wave guides. The FD is applied using a 2D elliptical grid in the waveguide section. A suitable Taylor expansion of the vector mode function allows to take exactly into account the boundary condition. To prevent the raising of spurious modes, our FD approximation results in a constrained eigenvalue problem, that we solve using a decomposition method. This approach has been evaluated comparing our results to known data for the elliptic case.