An efficient method for the determination of resonant frequencies of shielded circular disk and ring resonators

An efficient method for the determination of resonant frequencies of shielded circular disks and annular ring resonators is described. Boundary integral equations set based on the Green´s identity in the circular cylindrical coordinates are set up and numerically solved by discretizing common boundary integral paths. The overall integration path is considerably shortened to reduce computation time by using simple eigenfunctions satisfying regular homogeneous boundary conditions as weighting functions instead of using Green´s functions. Computational results for both disks and rings are presented and compared with other available numerical results for some cases. This method can be extended to treat thick conductors