Generation and propagation of acoustic solitons in a periodic waveguide of air-water metamaterials

• Published in: New journal of physics Vol. 26; no. 2; pp. 23013 - 23021
• Main Authors: Braik, R, Elmadani, A, Idrissi, M, Achaoui, Y, Jakjoud, H
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 01.02.2024
• Subjects: 1d fluid-fluid metamaterials; Acoustic propagation; acoustic soliton; Acoustics; Algorithms; electroacoustic analogy; Equivalent circuits; Finite element analysis; Finite element method; Metamaterials; Partial differential equations; Phase transitions; Physics; Plasma; Propagation; Runge-Kutta method; Solitary waves; transmission line; Transmission lines; waveguide; Waveguides
• ISSN: 1367-2630; 1367-2630
• DOI: 10.1088/1367-2630/ad23a7

In this study, we propose an equivalent circuit of a metamaterial 1D waveguide. The latter is made of a diphasic medium to induce both non-linearity and dispersion. The balance between these two effects makes it possible to obtain soliton waves not studied in the fluid-fluid metamaterial so far. The purpose of the present paper is to confront the numerical Runge Kutta-based solution to the Transmission Line based circuits. The latter is compared to the numerical solution obtained by a Finite element method (FEM) algorithm to validate the numerical solution. The obtained solution is proved to be in good agreement with FEM solution.