Analysis of resonant frequency for electromagnetic bandgap structure based on phase coherences

A new method based on phase coherence for resonant frequency analysis of the electromagnetic bandgap (EBG) structure is proposed in this paper. Based on a simplified analysis model of reflected and transmitted waves, the resonant frequencies of reflection coefficient for two-unit cells are achieved through the phase of transmission coefficient for one-unit cell. For the purpose of method verification, a microstrip EBG structure is simulated and measured, which shows great consistence of resonant frequency between phase coherence method analysis and actual simulation/measurement. Since the proposed method explains the resonance of EBG structure from the interference of electromagnetic waves level, it has a clear physical meaning. Moreover, it may provide a convenient way for the characteristic analysis of EBG structure.