We describe here a Vector Finite Difference approach to the evaluation of waveguide eigenvalues and modes. The VFD is applied using a 2D cartesian grid, in the waveguide section. A suitable Taylor expansion of the vector mode function, allows to take exactly into account the boundary condition for a large class of waveguide. The FD approximation results in a constrained eigenvalue problem, that we solve using a decomposition method. This approach has been evalutated comparing our results to the analytical TM modes of a rectangular waveguide.
Vector Finite Difference approach to the computation of TM waveguide modes
FANTI, ALESSANDRO;MAZZARELLA, GIUSEPPE
2011-01-01
Abstract
We describe here a Vector Finite Difference approach to the evaluation of waveguide eigenvalues and modes. The VFD is applied using a 2D cartesian grid, in the waveguide section. A suitable Taylor expansion of the vector mode function, allows to take exactly into account the boundary condition for a large class of waveguide. The FD approximation results in a constrained eigenvalue problem, that we solve using a decomposition method. This approach has been evalutated comparing our results to the analytical TM modes of a rectangular waveguide.
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