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    Compact Metaplate with Bound State in the Continuum: From Quasisymmetry to Symmetry

    Zhihui Wen1, Penglin Gao1, Jiawei Mao1, Shoubo Dai1, Marc Marti-Sabaté2, Yabin Jin3,*, Daniel Torrent4,†, and Yegao Qu1,‡

    • 1State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, China
    • 2Department of Mathematics, Imperial College London, 180 Queen’s Gate, London SW7 2AZ, United Kingdom
    • 3Interdisciplinary Research Institute of Computational Mechanics and Artificial Intelligence & College of Intelligent Robotics and Advanced Manufacturing, Fudan University, Shanghai 200433, China
    • 4GROC-UJI, Institut de Noves Tecnologies de la Imatge, Universitat Jaume I, 12080 Castello, Spain

    • *Contact author: yabinjin@fudan.edu.cn
    • †Contact author: dtorrent@uji.es
    • ‡Contact author: quyegao@sjtu.edu.cn

    Phys. Rev. Lett. 135, 087201 – Published 19 August, 2025

    DOI: https://doi.org/10.1103/sbk1-szl7

    Abstract

    Building localized states with high quality factors in compact dynamic systems could enhance the performance of wave control devices such as elastic filters and high-precision sensing devices. Here, we report on the theoretical and experimental investigation of symmetry-protected bound states in the continuum (BICs) in a compressed metaplate. The proposed theory establishes a Bessel-zero-directed multipolarization design that enables precise modulation for the frequencies and modes of BICs. Experimental results reveal a critical threshold for symmetric protection, beyond which the polarization mode of BICs still exists despite leakage modes. The measured quality factor of BICs in the cylindrical-shelled metaplate rises to 720 via symmetry translation. The metaplate shows an enhanced performance over conventional defect and topological modes. This work opens a route toward compact elastic devices for applications in fields like on-chip communication, elastic wave filtering, and high-precision sensing within tight environments.

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