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Robust Fano resonance in a topological mechanical beam

机译：拓扑机械束中的鲁棒Fano共振

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摘要

The advances in topological condensed matter physics enable the manipulation of classic waves in different ways, such as unidirectional propagation featuring the suppression of backscattering and the robustness against impurities and disorder, making it possible to endow classical phenomena with topological properties. Fano resonance, a widely spread and basic kind of resonance, features an asymmetric line shape with an ultrahigh quality factor Q that usually requires delicate designs and precise fabrication. In this work, we achieve a robust Fano mechanical resonance with topological protection by engineering band inversion of two different vibrating symmetries of a pillared beam that gives rise to dark and bright edge modes. The Fano resonance results from the constructive and destructive interferences between topological dark and bright modes. It is further demonstrated that the Fano asymmetric shape of the transmission peak and its frequency are robust against random perturbations in the pillars' position as long as the symmetry is conserved. If random perturbations break the symmetry and only band inversion is involved, the asymmetric line shape of the Fano resonance weakens until disappearing before the closure of the bulk band gap, since the excitation will couple all fundamental modes of the beam. The analysis of the robustness of Fano resonance originating from band inversion and symmetry protection reveals the nature of topological protection which can be applied to design topological high-Q resonance in sensing application.
机译：拓扑凝聚态物理的进步使得能够以不同方式操纵经典波，例如具有抑制反向散射的单向传播以及对杂质和无序性的鲁棒性，从而使经典现象具有拓扑特性。 Fano共振是一种广泛传播的基本共振，具有不对称的线形和超高品质因数Q，通常需要精细的设计和精确的制造。在这项工作中，我们通过对带柱梁的两个不同振动对称性进行工程频带反转来实现鲁棒的Fano机械共振，并提供了拓扑保护，从而引起了明暗模式的出现。 Fano共振来自拓扑暗模式和亮模式之间的相长干涉和相消干涉。进一步证明，只要保持对称性，透射峰的Fano非对称形状及其频率就可以抵抗支柱位置的随机扰动。如果随机扰动破坏了对称性并且仅涉及带反转，则法诺共振的非对称线形会减弱，直到在关闭体带隙之前消失，因为激发将耦合光束的所有基本模式。对源自带反转和对称保护的Fano共振的鲁棒性的分析揭示了拓扑保护的性质，可以将其用于传感应用中的拓扑高Q共振设计。

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  • 来源
    《Physical review》 |2020年第2期|024101.1-024101.6|共6页
  • 作者

    Wei Wang; Yabin Jin; Wan Wang; Bernard Bonello; Bahram Djafari-Rouhani; Romain Fleury;

  • 作者单位

    Sorbonne Universite UPMC Universite Paris 06 (INSP-UMR CNRS 7588) 4 place Jussieu 75005 Paris France;

    School of Aerospace Engineering and Applied Mechanics Tongji University 200092 Shanghai China;

    Institut d'Electronique de Microelectonique el de Nanotechnologie UMR CNRS 8520 Departement de Physique Universite de Lille 59650 Villeneuve d'Ascq France;

    Laboratory of Wave Engineering School of Engineering EPFL Station 11 1015 Lausanne Switzerland;

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