Tunable bandpass filters using a defective phononic crystal shunted to synthetic negative capacitance for longitudinal waves

Soo-Ho Jo, Moonsu Park, Minseo Kim, Jeonggyu Yang
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Abstract

This study illustrates the successful achievement of tunable defect bands in one-dimensional defective phononic crystals (PnCs) through the incorporation of piezoelectric defects with synthetic negative capacitances (SNCs) for the first time. The efficacy of SNCs in creating tunable bandpass filters across a broad frequency range is thoroughly examined using the proposed analytical and numerical models. A newly developed electroelastically coupled transfer matrix that incorporates SNCs is presented, considering either series or parallel connection between bimorph piezoelectric elements. Defect band and transmittance analyses are conducted using the transfer matrix and S-parameter methods. Two key findings emerge from this investigation. First, when the total equivalent capacitance of the bimorph piezoelectric elements and SNC becomes zero, the defect band representing the point-symmetric defect-mode shape can be customized throughout the entire phononic bandgap. Second, the constant transmittance value, resembling short-circuit conditions, highlights the remarkable ability of SNCs to tune defect bands without energy dissipation, paving the way for fully tunable bandpass filters. To propel this research forward, future investigations could explore expanding the design space with double defects, adopting enhanced modeling techniques to account for lateral and shear effects, developing a control algorithm for the automatic optimization of SNC values in actively tunable bandpass filters, and incorporating artificial intelligence into design methods for piezoelectric defects with electrical connections.
利用缺陷声子晶体分流合成纵波负电容的可调谐带通滤波器
本研究通过首次在一维缺陷声子晶体(PnCs)中加入具有合成负电容(SNCs)的压电缺陷,成功地实现了可调缺陷带。利用所提出的分析和数值模型,深入研究了 SNC 在创建宽频率范围可调带通滤波器方面的功效。考虑到双晶压电元件之间的串联或并联,提出了一种新开发的电弹性耦合传递矩阵,其中包含 SNC。利用传递矩阵和 S 参数方法对缺陷带和透射率进行了分析。这项研究得出了两个重要发现。首先,当双晶压电元件和 SNC 的总等效电容为零时,代表点对称缺陷模式形状的缺陷带可在整个声波带隙中定制。其次,恒定的透射率值类似于短路条件,凸显了 SNC 无需耗散能量即可调整缺陷带的卓越能力,为实现完全可调带通滤波器铺平了道路。为了推动这项研究向前发展,未来的研究可以探索扩大双缺陷的设计空间,采用增强的建模技术以考虑横向和剪切效应,开发一种控制算法以自动优化主动可调带通滤波器中的 SNC 值,以及将人工智能纳入具有电气连接的压电缺陷的设计方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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