Frequency Domain Analysis of Waveguides and Resonators with FIT on Non-orthogonal Triangular Grids

The focus of this paper is on the solution of Maxwell’s equations for time-harmonic fields on triangular, possibly nonorthogonal meshes. The method is based on the well-known Finite Integration Technique (FIT) [33, 35] which is a proven consistent discretization method for the computation of electromagnetic fields. FIT on triangular grids was first introduced in [29, 31] for eigenvalue problems arising in the design of accelerator components and dielectric loaded waveguides. For many technical applications the 2D simulation on a triangular grid combines the advantages of FIT, as e.g. the consistency of the method or the numerical advantage of banded system matrices, with the geometrical flexibility of non-coordinate grids. The FIT-discretization on non-orthogonal 2D grids has close relations [26] to the Nédélec elements [14, 15] or edge elements in the Finite Element Method.