This paper presents the theoretical analysis of transverse magnetic (TM) wave mode for circular dielectric resonator with anisotropic permittivity. The analysis which is emphasized on its resonant frequency is required to investigate specific properties of resonator in TM wave mode which are useful for microwave application. By introducing the anisotropic permittivity, the resonator is expected to have the property with unique characteristic compared to the conventional one. To determine the resonant frequency of resonator for TM wave mode, Maxwell’s equations with proper boundary condition are applied for circular waveguide that encapsulates an anisotropic circular dielectric resonator. The anisotropic permittivity is established by assuming the different values of relative permittivity in each axis of cylindrical coordinate, i.e., ερ, εφ and εz. The analysis result shows that the circular dielectric resonator with anisotropic permittivity in z axis, i.e., propagation direction, has significantly changed the resonant frequencies of TM wave mode which can be applicable for resonance mode selection.

Anisotropic permittivity,Cylindrical coordinates,Maxwell’s equations,Microwave applications,Propagation direction,Relative permittivity,Specific properties,Transverse magnetic waves