We describe here a Vector Finite Difference approach to the evaluation of waveguide eigenvalues and modes for rectangular, circular and elliptical waveguides. The FD is applied using a 2D cartesian, polar and 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 the analytical modes of rectangular and circular waveguide, and to known data for the elliptic case.

Curvilinear vector finite difference approach to the computation of waveguide modes

FANTI, ALESSANDRO
;
MAZZARELLA, GIUSEPPE;MONTISCI, GIORGIO
2012

Abstract

We describe here a Vector Finite Difference approach to the evaluation of waveguide eigenvalues and modes for rectangular, circular and elliptical waveguides. The FD is applied using a 2D cartesian, polar and 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 the analytical modes of rectangular and circular waveguide, and to known data for the elliptic case.
Polar and elliptical grid; Vector finite difference; Waveguide; Electrical and Electronic Engineering; Electronic, Optical and Magnetic Materials; Radiation
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11584/176127
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