Reduced FDTD formulation (R-FDTD) for the analysis of 30 GHz dielectric resonator coupled to a microstrip line

In this paper a reduced formulation for the standard finite difference time domain method (R-FDTD), based on the divergence free nature of the electric and magnetic field displacement is presented. This new approach for the solution of Maxwell equations allows a memory reduction in the storage of the field components with almost no computational cost. As validation of the new technique, the resonance frequencies of a dielectric resonator coupled to a microstrip line printed on alumina substrate is studied. Results of measured and calculated resonant frequencies are provided, confirming the validity of the novel numerical technique.