Synchronization driven acoustics: The nonlinear scattering of a self-oscillating meta-atom

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Main Authors: Stoychev, Alexander K., Guo, Xinxin, Kuhl, Ulrich, Noiray, Nicolas
Format: Preprint
Published: 2025
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author Stoychev, Alexander K.
Guo, Xinxin
Kuhl, Ulrich
Noiray, Nicolas
author_facet Stoychev, Alexander K.
Guo, Xinxin
Kuhl, Ulrich
Noiray, Nicolas
contents In this study we demonstrate a self-oscillating acoustic meta-atom functioning as an amplifying transistor, where a steady external flow serves as a control signal to switch between reflective (off-state) and transmissive (on-state) regimes. In the on-state, an acoustic limit cycle synchronizes with incident sound waves. This process governs the energy transfer across the device, with a transmission bandwidth dictated by the synchronization region in parameter space (Arnold tongue). Our experimental measurements reveal nonlinear dependence on the incident wave amplitude, enabling perturbation filtering therein and stabilizing downstream acoustic power. All experimentally observed phenomena are quantitatively described by a nonlinear Liénard-type oscillator featuring saturable gain and linear loss, where the essential parameters can be estimated by independent measurements. This work may offer a paradigm shift in acoustic metamaterials research by leveraging self-oscillation and synchronization processes. Bridging those key concepts from nonlinear dynamics and complex systems with active metamaterial design in acoustics and related disciplines, may establish a broadly applicable framework of field-independent mechanisms for wave manipulation.
format Preprint
id arxiv_https___arxiv_org_abs_2508_14819
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Synchronization driven acoustics: The nonlinear scattering of a self-oscillating meta-atom
Stoychev, Alexander K.
Guo, Xinxin
Kuhl, Ulrich
Noiray, Nicolas
Applied Physics
In this study we demonstrate a self-oscillating acoustic meta-atom functioning as an amplifying transistor, where a steady external flow serves as a control signal to switch between reflective (off-state) and transmissive (on-state) regimes. In the on-state, an acoustic limit cycle synchronizes with incident sound waves. This process governs the energy transfer across the device, with a transmission bandwidth dictated by the synchronization region in parameter space (Arnold tongue). Our experimental measurements reveal nonlinear dependence on the incident wave amplitude, enabling perturbation filtering therein and stabilizing downstream acoustic power. All experimentally observed phenomena are quantitatively described by a nonlinear Liénard-type oscillator featuring saturable gain and linear loss, where the essential parameters can be estimated by independent measurements. This work may offer a paradigm shift in acoustic metamaterials research by leveraging self-oscillation and synchronization processes. Bridging those key concepts from nonlinear dynamics and complex systems with active metamaterial design in acoustics and related disciplines, may establish a broadly applicable framework of field-independent mechanisms for wave manipulation.
title Synchronization driven acoustics: The nonlinear scattering of a self-oscillating meta-atom
topic Applied Physics
url https://arxiv.org/abs/2508.14819