Dual-mode ring resonator bandpass filter with asymmetric inductive coupling and its miniaturization

Dual-mode ring resonator filters are implemented with asymmetric inductive perturbation for creating transmission zeros on both sides of the passband. In analysis, dependence of the resonance modes and the zeros on positions and sizes of both the inductive and capacitive perturbations is investigated. Under certain conditions, the even-and odd-mode frequencies for a capacitively perturbed ring are the same as the odd and even ones, respectively, for a ring with inductive perturbation. Theoretical background is clearly explained how the two transmission zeros are split up from the center frequency. Two dual-mode ring resonator filters are fabricated and measured for demonstration. To obtain a miniaturized circuit area, the 1-\lambda ring trace is folded into a double-ring or spiral configuration. The inductive perturbation is chosen as the crossover and implemented by a short high-impedance coplanar waveguide interconnection in the ground plane of the microstrip. Measurement results show good agreement with the simulation responses.