@article {Zhang:2018:1610-1928:235,
title = "Second-Harmonic Generation in Acoustic Waveguides Loaded with an Array of Side Holes",
journal = "Acta Acustica united with Acustica",
parent_itemid = "infobike://dav/aaua",
publishercode ="dav",
year = "2018",
volume = "104",
number = "2",
publication date ="2018-03-01T00:00:00",
pages = "235-242",
itemtype = "ARTICLE",
issn = "1610-1928",
url = "https://www.ingentaconnect.com/content/dav/aaua/2018/00000104/00000002/art00008",
doi = "doi:10.3813/AAA.919165",
author = "Zhang, Jiangyi and Romero-Garc{\’ı}a, Vicente and Theocharis, Georgios and Richoux, Olivier and Achilleos, Vassos and Frantzeskakis, Dimitrios J.",
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.",
}