The nonorthogonal finite integration technique applied to 2D-and 3D-eigenvalue problems

Recently we proposed an advanced implementation of the FDTD algorithm on no northogonal grids. It was successfully included in the matrix-vector notati on of the Finite Integration Technique (FIT), and an interpolation formula was found, which ensures the longterm stability of the time integration. In this paper we propose the application of the Nonorthogonal FI-Technique (N FIT) to eigenvalue problems in the frequency domain, including both resonat or and waveguide problems. Due to some modifications in the formulation of the eigenvalue problems the inversion of the material matrices can be avoid ed.