Bound modes in the continuum based phononic waveguides
Bound modes in the continuum based phononic waveguides
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DOI：
10.1063/5.0101654
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发表时间：
2022-06
影响因子：
3.2
通讯作者：
A. Rahman;R. Pal
中科院分区：
文献类型：
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作者：
A. Rahman;R. Pal
我们用解析的方法预测并数值证明了双层弹簧质量链中连续介质(BIC)中束缚模族的存在。然后使用这种链的耦合阵列来说明沿晶格中的通道传播的横向束缚波。我们首先考虑了由两个带有缺陷的弹簧-质量链耦合而形成的紧凑区，并预测了由于该区域的反射对称性而产生的束缚模。对由适当耦合的双层链阵列组成的波导的色散分析揭示了在通带中存在具有束缚模的分支。最后，通过详细的数值分析，验证了BIC的存在及其在通带频率下无能量泄漏的传播。该框架允许我们实现任意大小和位置的紧凑区的BIC及其传播。由于零能量泄漏，这种BIC为具有极高[公式：见文本]系数的新型谐振器开辟了道路，并允许在不需要带隙的情况下引导结构中的受限波。
We analytically predict and numerically demonstrate the existence of a family of bound modes in the continuum (BICs) in bi-layered spring-mass chains. A coupled array of such chains is then used to illustrate transversely bound waves propagating along a channel in a lattice. We start by considering the compact region formed by coupling two spring-mass chains with defects and predict bound modes arising due to reflection symmetries in this region. Dispersion analysis of a waveguide consisting of an array of appropriately coupled bi-layered chains reveals the presence of a branch having bound modes in the passband. Finally, detailed numerical analyses verify the existence of a BIC and its propagation through the waveguide at passband frequencies without energy leakage. The framework allows us to achieve BICs and their propagation for any arbitrary size and location of the compact region. Such BICs open avenues for novel classes of resonators with extremely high [Formula: see text] factors due to zero energy leakage and allow for guiding confined waves in structures without requiring bandgaps.