FDTD method for property analysis of waveguide loaded artificial circular dielectric resonator with anisotropic permittivity

Abstract

This paper presents finite difference time domain (FDTD) method for property analysis of waveguide loaded artificial circular dielectric resonator with anisotropic permittivity. The property of artificial circular dielectric resonator emphasized on the analysis is the resonant frequency of some resonance mode which is affected by its anisotropic permittivity. The FDTD method used for the analysis is developed based on a cylindrical coordinate system, instead of a Cartesian coordinate system, which suit to model the shape of analyzed structure. The anisotropic permittivity of artificial circular dielectric resonator is obtained by providing the different values of relative permittivity in each axis of cylindrical coordinate, i.e., ϵ ρ , ϵ φ , and ϵ z . Meanwhile, the analysis is carried out by discretizing a model of waveguide loaded with artificial circular dielectric resonator in which the radius and the length of waveguide are 16.27mm and 100 mm, respectively. To verify the result of FDTD method, the theoretical approach is carried out by calculating its resonant frequency for corresponding resonance mode. From the result, it shows that the proposed method demonstrated the feasibility with adequate accuracy compared to the theoretical approach.