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Second-Harmonic Generation in Acoustic Waveguides Loaded with an Array of Side Holes

Abstract : We study analytically and numerically second-harmonic generation in a one-dimensional weakly lossy nonlinear acoustic metamaterial composed of an air-filled waveguide periodically loaded by side holes. Based on the transmission line approach, we derive a lossy nonlinear dispersive lattice model which, in the continuum limit, leads to a nonlinear, dispersive and dissipative wave equation. The latter is studied by means of a perturbation method, which leads to analytical expressions for the first and second harmonics, in very good agreement with numerical results.
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https://hal.archives-ouvertes.fr/hal-02406875
Contributeur : Olivier Richoux <>
Soumis le : jeudi 12 décembre 2019 - 11:55:24
Dernière modification le : jeudi 7 janvier 2021 - 15:56:02

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Jiangyi Zhang, Vicente Romero-García, Georgios Theocharis, Olivier Richoux, Vassos Achilleos, et al.. Second-Harmonic Generation in Acoustic Waveguides Loaded with an Array of Side Holes. Acta Acustica united with Acustica, Hirzel Verlag, 2018, 104 (2), pp.235-242. ⟨10.3813/AAA.919165⟩. ⟨hal-02406875⟩

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