Rigorous analysis of circular disc resonators/radiators with imperfect conductors and substrates

Efficient computation of a high-Q resonator realized by a thin-film multilayer metal/dielectric structure

“…In this special case, which involves conductor thickness less than or near the skin depth, G1DMULT is very useful, since most commercial software tend to set the conductor thickness to zero and calculate equivalent surface impedances. G1DMULT is more general than the method in [1], similarly with regard to a resonator comparable with the methods in [2,3]. By replacing the main bulk dielectrics with arbitrary layers of different dielectrics, a resonance frequency depending on the overall structure is obtained accordingly.…”

“…The horizontal dimensions were included in the analysis in [2], which therefore could predict changes in both the Q-factor and resonance frequency, as verified in [1]. This approach is similar to the analysis of the single-layer resonator in [3].…”

“…To improve the bandwidth of a conventional microstrip-patch antenna, the substrate thickness needs to be increased and the dielectric constant of the substrate material needs to be kept as low as possible [1]. L-probe [2] and F-probe [3] feeds have been proposed to eliminate the probe-inductive effects of wideband antennas with thick substrates. Alternatively, broadband co-planar designs with thin substrates have been presented [4].…”