Dong Hao-Wen, Wang Yue-Sheng, Zhang Chuanzeng
Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, China; Department of Civil Engineering, University of Siegen, D-57068 Siegen, Germany.
Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, China.
Ultrasonics. 2017 Apr;76:109-124. doi: 10.1016/j.ultras.2016.12.018. Epub 2016 Dec 29.
Topology optimization of a waveguide-cavity structure in phononic crystals for designing narrow band filters under the given operating frequencies is presented in this paper. We show that it is possible to obtain an ultra-high-Q filter by only optimizing the cavity topology without introducing any other coupling medium. The optimized cavity with highly symmetric resonance can be utilized as the multi-channel filter, raising filter and T-splitter. In addition, most optimized high-Q filters have the Fano resonances near the resonant frequencies. Furthermore, our filter optimization based on the waveguide and cavity, and our simple illustration of a computational approach to wave control in phononic crystals can be extended and applied to design other acoustic devices or even opto-mechanical devices.
本文提出了一种用于在给定工作频率下设计窄带滤波器的声子晶体中波导 - 腔结构的拓扑优化方法。我们表明，仅通过优化腔拓扑结构而不引入任何其他耦合介质，就有可能获得超高品质因数（Q值）的滤波器。具有高度对称共振的优化腔可作为多通道滤波器、提升滤波器和T型分离器。此外，大多数优化后的高Q值滤波器在共振频率附近具有法诺共振。此外，我们基于波导和腔的滤波器优化方法，以及我们对声子晶体中波控制计算方法的简单说明，可以扩展并应用于设计其他声学器件甚至光机械器件。
