Acoustic solitons in waveguides with Helmholtz resonators: transmission line approach

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
V AchilleosD J Frantzeskakis

Abstract

We report experimental results and study theoretically soliton formation and propagation in an air-filled acoustic waveguide side loaded with Helmholtz resonators. We propose a theoretical modeling of the system, which relies on a transmission-line approach, leading to a nonlinear dynamical lattice model. The latter allows for an analytical description of the various soliton solutions for the pressure, which are found by means of dynamical systems and multiscale expansion techniques. These solutions include Boussinesq-like and Korteweg-de Vries pulse-shaped solitons that are observed in the experiment, as well as nonlinear Schrödinger envelope solitons, that are predicted theoretically. The analytical predictions are in excellent agreement with direct numerical simulations and in qualitative agreement with the experimental observations.

References

May 2, 2006·Nature Materials·Nicholas FangXiang Zhang
Mar 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·O RichouxT Le Van Suu
May 24, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G P VeldesD J Frantzeskakis
Dec 21, 2011·Physical Review Letters·Choon Mahn ParkSam H Lee
Aug 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G P VeldesD J Frantzeskakis
Aug 21, 2013·Physical Review Letters·Romain Fleury, Andrea Alù

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Citations

Sep 28, 2017·Physical Review. E·Jiangyi ZhangDimitrios J Frantzeskakis

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