%0 Journal Article
%T Curvilinear vector finite difference approach to the computation of waveguide modes
%A Alessandro Fanti
%A Giuseppe Mazzarella
%A Giorgio Montisci
%J Advanced Electromagnetics
%D 2012
%I Advanced Electromagnetics
%R 10.7716/aem.v1i1.45
%X 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 circula rwaveguide, and to known data for the elliptic case.
%K Vector finite difference
%K waveguide
%K polar and elliptical grid
%U http://aemjournal.org/index.php/AEM/article/view/45