Micro-Resonators

Recently, dielectric resonators based on axi-symmetric structures have been widely studied. In these studies, the calculation of resonant modes is very important. Unfortunately, analytic solutions are available only for very simple geometries, such as homogeneous and cavities bounded by perfectly conductor surfaces. However, in most practical applications, the resonators usually contain complex structures, such as inhomogeneities and complicated boundary conditions. As a result, the resonant frequencies and Q-factors, which are crucial parameters in the design of resonators, are very difficult to analyze. In these cases, the cavities must be analyzed using numerical techniques.