Work

Ring-shaped linear waves and solitons in a square lattice of acoustic waveguides

Year: 2025

Type: article

Abstract: We study the propagation of both low- and high-amplitude ring-shaped sound waves in a two-dimensional square lattice of acoustic waveguides with Helmholtz resonators. We show that the inclusion of the Helmholtz resonators suppresses the inherent anisotropy of the system in the low-frequency regime allowing for radially symmetric solutions. By employing the electroacoustic analogue approach and asymptotic methods we derive an effective cylindrical Korteweg-de Vries equation. Low-amplitude waveforms are self-similar structures of the Airy function profile, while high-amplitude ones are of the form of cylindrical solitons. Our analytical predictions are corroborated by results of direct numerical simulations, with a very good agreement between the two.

Source: Physical review. E

DOI: 10.1103/physreve.111.044201

Authors: I. Ioannou Sougleridis, O. Richoux, V. Achilleos, G. Theocharis, D. J. Frantzeskakis

Institutions: National and Kapodistrian University of Athens, Laboratoire d'Acoustique de l'Université du Mans

Language: English

Topic: Acoustic Wave Phenomena Research

Subfield: Biomedical Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4409045025

FWCI: 0.469

Cites: 68

Cited by: 2

Related to: 10