An Efficient Algorithm for Finding High Order Modes in Resonators with Cylindrical Symmetry

This paper presents a highly efficient numerical approach for modeling electromagnetically large resonators with cylindrical symmetry, based on the algorithm proposed in [4], using preconditioned Arnoldi technique and FDFD method. It applies new techniques to overcome the two main difficulties of the former approach: the errors due to numerical dispersion and long solution time. The first problem is solved by proposing a new low-cost procedure for correcting the FD operators. The second - by applying a novel efficient parallelization scheme. The paper presents numerical results validating the correction procedure and showing very good performance of the solver in parallel systems.