Electrically controllable behaviors in defective phononic crystals with inductive-resistive circuits

Abstract

Research in defective phononic crystals (PnCs) has garnered increasing interest for their unique properties of energy localization and bandpass filtering. Despite their utility, conventional defective PnCs suffer from a fixed defect band, limiting adaptability in scenarios requiring frequency adjustments. Addressing this limitation, this study proposes a novel approach—integrating inductive-resistive circuits into defective PnCs—to introduce electrically controllable defect bands. Key findings include the emergence of additional defect bands through electrical resonance in inductive and inductive-resistive circuits. Notably, the phenomenon of defect-band splitting is newly observed when mechanical and electrical resonance frequencies align. An essential observation is the superiority of inductive circuits in maximizing transmittance efficiency. Conversely, resistive or inductive-resistive circuits exhibit limitations, such as rapid transmittance decrease. The significance of this work lies in two main contributions. First, it presents a pioneering approach to build a bridge between inductive-resistive circuits and defective PnCs, offering tunable narrow bandpass filters to users. Second, this study offers a comprehensive guideline for selecting optimal electrical circuit configurations to maximize transmittance. These endeavors aim to advance the field of tunable energy-localized behaviors in defective PnCs, opening up new avenues for future research and practical applications, such as enhancing ultrasonic sensors and actuators for structural health monitoring and medical imaging. © 2024 Elsevier Ltd