A Precisely‐Controlled Multichannel Phononic Crystal Resonant Cavity

Abstract

Designing multichannel phononic crystal (PnC) resonant cavities working at certain frequencies is highly nontrivial because the defect band location within the band gap must be precisely located. This paper discloses a new methodology of the topological design for the precisely-controlled PnC resonant cavity. A two-stage topological design strategy is proposed to determine the frequency ranges of the forbidden and defect bands successively. Complicated topologies of the supercell are represented only with dozens of design variables based on material-field series expansion model and can be optimized with a gradient-free optimization algorithm. Different PnC resonant cavity configurations that are difficult to obtain through traditional design methods are realized through the proposed strategy. A multichannel energy harvester is thus designed with the optimized supercell configurations. The device demonstrates a high localization effect (>300%), high frequency resolution of the incident wave (≈0.2 kHz), and a 2 mW power output.

Double piezoelectric defects in phononic crystals for ultrasonic transducers

“…the Rayleigh-Bishop rod theory), to miniaturize PnCincorporated ultrasonic transducers [61]. Second, optimization of an ultrasonic transducer design of a finite size needs to be executed; the objective function can be velocity-amplitude maximization at the target frequency [62]. Third, each defect band obtained in a single defect is split into multiple (more than two) defect bands when multiple piezoelectric defects are considered [59].…”