Energy Confinement of Mode-Localised Sensors

Abstract

Abstract Energy confinement is one of the significant features of the mode-localised phenomenon and is also the secret behind the high sensitivity of mode-localised sensors. Surprisingly, limited attention has been directed towards comprehensively elucidating the phenomenon of energy confinement within a specific resonator in weakly coupled resonators through detailed physical analysis. In this paper, a novel concept of modal dominance is proposed for the first time to elucidate the energy confinement of mode-localised sensors. The mode frequencies of the weakly coupled resonant system are dominated by the natural frequencies of the resonators in the system and the relationship between the two frequencies determines the resonant states, and then the amplitudes of the resonators. When perturbations break the system symmetry, the resonator in resonance acquires the larger amplitude while the amplitude of the out-of resonance resonator decreases. The concept of modal dominance is illustrated comprehensively and experimentally proved.