Bound states in the continuum and Fano resonances in subwavelength resonator arrays
Bound states in the continuum and Fano resonances in subwavelength resonator arrays
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DOI：
10.1063/5.0051292
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发表时间：
2021-03
影响因子：
1.3
通讯作者：
H. Ammari;B. Davies;Erik Orvehed Hiltunen;Hyundae Lee;Sanghyeon Yu
中科院分区：
文献类型：
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作者：
H. Ammari;B. Davies;Erik Orvehed Hiltunen;Hyundae Lee;Sanghyeon Yu
当波散射系统具有一定的对称性时，谐振态可能会与远场连续谱解耦。它们仍然局限于结构，不能被远场的入射波激发。在这项工作中，我们使用层势技术来证明亚波长谐振器系统中这种状态（称为连续体中的束缚态）的存在。当对称性稍微破缺时，可以从远场激发该谐振态。值得注意的是，这可能会产生不对称（法诺型）散射行为，其中谐振频率两侧的频率传输根本不同。使用渐近分析，我们显式地计算系统的散射矩阵，从而表征这种 Fano 型传输异常。数学科目分类（MSC2000）：35J05、35C20、35P20、35P30。
When wave scattering systems are subject to certain symmetries, resonant states may decouple from the far-field continuum; they remain localized to the structure and cannot be excited by incident waves from the far field. In this work, we use layer-potential techniques to prove the existence of such states, known as bound states in the continuum, in systems of subwavelength resonators. When the symmetry is slightly broken, this resonant state can be excited from the far field. Remarkably, this may create asymmetric (Fano-type) scattering behaviour where the transmission is fundamentally different for frequencies on either side of the resonant frequency. Using asymptotic analysis, we compute the scattering matrix of the system explicitly, thereby characterizing this Fano-type transmission anomaly. Mathematics Subject Classification (MSC2000): 35J05, 35C20, 35P20, 35P30.