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    Supersonic wave propagation in active non-Hermitian acoustic metamaterials

    Kangkang Wang1, Felix Langfeldt2,*, Chen Shen3, Haishan Zou1, Sipei Zhao4, Jing Lu1,†, and Lea Sirota5,‡

    • 1Key Laboratory of Modern Acoustics, Ministry of Education (MOE), Institute of Acoustics, Department of Physics, Nanjing University, Nanjing 210093, People’s Republic of China
    • 2Institute of Sound and Vibration Research, University of Southampton, University Road, Highfield, Southampton SO17 1BJ, United Kingdom
    • 3Department of Mechanical Engineering, Rowan University, Glassboro, New Jersey 08028, USA
    • 4Centre for Audio, Acoustics and Vibration, Faculty of Engineering and IT, University of Technology Sydney, Ultimo, New South Wales 2007, Australia
    • 5School of Mechanical Engineering, Tel Aviv University, Tel Aviv 69978, Israel

    • *Contact author: f.langfeldt@soton.ac.uk
    • †Contact author: lujing@nju.edu.cn
    • ‡Contact author: leabeilkin@tauex.tau.ac.il

    Phys. Rev. Applied 24, 034061 – Published 23 September, 2025

    DOI: https://doi.org/10.1103/zs92-qr17

    Abstract

    Obtaining a group velocity higher than the speed of sound in a waveguide is a challenging task in acoustic wave engineering. Even more challenging is to achieve this velocity increase without any intervention with the waveguide profile, such as narrowing or widening, and particularly without interfering with the passage by flexible inclusions, either passive or active. Here, we approach this problem by invoking concepts from non-Hermitian physics, and imposing them using active elements that are smoothly sealed within the waveguide wall. In a real-time feedback operation, the elements induce local pressure gain and loss, as well as nonlocal pressure integration couplings. We employ a dedicated balancing between the control parameters, derived from lattice theory and adjusted to the waveguide system, to drive the dynamics into a stable parity-time-symmetric regime. We demonstrate the accelerated propagation of a wave packet both numerically and experimentally in an air-filled waveguide and discuss the trade-off between stabilization and the achievable velocity increase. Our work prepares the ground for advanced forms of wave transmission in continuous media, enabled by short- and long-range active couplings, created via embedded real-time feedback control.

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