Vector finite element implementation of the variational E/sub t/-H/sub t/ generalized eigenmode formulation

In this short paper we present some initial numerical validation of a generalized variational formulation for the eigenmode analysis of general closed uniform waveguiding structures. The formulation is based on a trial field expansion of the transverse components of both the electric and magnetic fields, i.e., the E/sub t/-H/sub t/ formulation. The vector finite element method has been used to discretize the variational E/sub t/-H/sub t/ functional which produces a sparse generalized matrix eigenvalue problem in terms of the structure´s complex propagation constant. The technique is efficient computationally and numerical results agree well with previously reported results for a number of waveguiding structures.