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

Jiangyi Zhang (1) , Vicente Romero-García (1) , Georgios Theocharis (1) , Olivier Richoux (1) , Vassos Achilleos (1) , Dimitrios Frantzeskakis (2)

1 LAUM - Laboratoire d'Acoustique de l'Université du Mans
2 NKUA - National and Kapodistrian University of Athens

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.

Mots clés: SELF-DEMODULATION; PROPAGATION

Domaines: Acoustique [physics.class-ph]; Vibrations [physics.class-ph]; Physique Classique [physics.class-ph]

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, 2018, 104 (2), pp.235-242. ⟨10.3813/AAA.919165⟩. ⟨hal-02406875⟩