Modulational instability and rogue waves in one-dimensional nonlinear acoustic metamaterials: case of diatomic model

2021 ◽  
Author(s):  
Joseph Mora ◽  
Justin Mibaile ◽  
Vroumsia David ◽  
Sylvere Azakine ◽  
Gambo Betchewe
Keyword(s):  
Integrable System ◽  
Taylor Series ◽  
Acoustic Waves ◽  
Perturbation Methods ◽  
Modulational Instability ◽  
Rogue Waves ◽  
Acoustic Metamaterials ◽  
One Dimensional ◽  
Acoustic Metamaterial ◽  
Nonlinear Acoustic

Abstract In this paper, by means of the expanded Taylor series and Lindstedt-Poincar ́e perturbation methods, the coupled nonlinear Schrödinger equations (CNLSE) modeling the propagation of acoustic waves in acoustic metamaterial is obtained. Using these equations, the Modulational Instability (MI) phenomenon is observed in disturbance mode. Manakov integrable system is derived with suitable parameters and we shown that the Rogue Waves (RWs) can propagate diatomic acoustic metamaterials.

scholarly journals Wave propagation in one-dimensional nonlinear acoustic metamaterials

2017 ◽  
Vol 19 (5) ◽  
pp. 053007 ◽  
Author(s):  
Xin Fang ◽  
Jihong Wen ◽  
Bernard Bonello ◽  
Jianfei Yin ◽  
Dianlong Yu
Keyword(s):  
Wave Propagation ◽  
Acoustic Metamaterials ◽  
One Dimensional ◽  
Nonlinear Acoustic

scholarly journals AKUSTIČKI METAMATERIJALI: PREGLED VIBRACIONIH KARAKTERISTIKA

2018 ◽  
pp. 103
Author(s):  
Livija Cveticanin ◽  
Dragan Cveticanin
Keyword(s):  
Acoustic Wave ◽  
Mathematical Models ◽  
Basic Principle ◽  
Acoustic Waves ◽  
Solid Material ◽  
Vibration Absorbers ◽  
Acoustic Metamaterials ◽  
Acoustic Metamaterial ◽  
Negative Effective Mass ◽  
Artificial Materials

In the paper the theoretical consideration of the acoustic metamaterials is given. Metamaterials, which are usually composite, are artificial materials whose properties differ from those observed in nature or in the constituent materials. Metamaterials which are suitable for acoustic wave absorption are presented. Acoustic absorber is a beam made of solid material connected with spring-mass subunits. The purpose of the subunits is to give a band gap where some frequencies of acoustic wave are stopped. Mathematical models for various types of connection of subunits in the metamaterial and absorber are discussed. Based on the analogy between electromagnetic and acoustic waves the concept of negative effective mass is introduced as a basic principle for modeling. Acoustic metamaterial beams based on one, two or multi-frequency vibration absorbers are discussed. Depending on connection of absorbers in the beam, the structure may absorb wave in one-direction (for example the longitudinal one) or waves in two directions (transversal and longitudinal). In the paper an overview of mathematical models and suggestions for further investigation are given.

scholarly journals Propagation properties of one-dimensional nonlinear acoustic waves

2016 ◽  
Vol 65 (10) ◽  
pp. 104301
Author(s):  
Zhang Shi-Gong ◽  
Wu Xian-Mei ◽  
Zhang Bi-Xing ◽  
An Zhi-Wu
Keyword(s):  
Acoustic Waves ◽  
One Dimensional ◽  
Nonlinear Acoustic ◽  
Propagation Properties

scholarly journals A Review of Tunable Acoustic Metamaterials

2018 ◽  
Vol 8 (9) ◽  
pp. 1480 ◽  
Author(s):  
Shuang Chen ◽  
Yuancheng Fan ◽  
Quanhong Fu ◽  
Hongjing Wu ◽  
Yabin Jin ◽  
...  
Keyword(s):  
Acoustic Wave ◽  
Acoustic Impedance ◽  
Acoustic Waves ◽  
Recent Progress ◽  
The Novel ◽  
Acoustic Metamaterials ◽  
Practical Application ◽  
Acoustic Metamaterial ◽  
Modulation Techniques ◽  
Narrow Frequency Band

Acoustic metamaterial science is an emerging field at the frontier of modern acoustics. It provides a prominent platform for acoustic wave control in subwavelength-sized metadevices or metasystems. However, most of the metamaterials can only work in a narrow frequency band once fabricated, which limits the practical application of acoustic metamaterials. This paper highlights some recent progress in tunable acoustic metamaterials based on various modulation techniques. Acoustic metamaterials have been designed to control the attenuation of acoustic waves, invisibility cloaking, and acoustic wavefront engineering, such as focusing via manipulating the acoustic impedance of metamaterials. The reviewed techniques are promising in extending the novel acoustics response into wider frequency bands, in that tunable acoustic metamaterials may be exploited for unusual applications compared to conventional acoustic devices.

scholarly journals Three-Dimensional Rogue Waves in Earth’s Ionosphere

Galaxies ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 48
Author(s):  
Wael F. El-Taibany ◽  
Nabila A. El-Bedwehy ◽  
Nora A. El-Shafeay ◽  
Salah K. El-Labany
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Acoustic Waves ◽  
Modulational Instability ◽  
Three Dimensional ◽  
Negative Ions ◽  
Rogue Waves ◽  
Physical Parameters ◽  
Electrons And Positrons ◽  
Ion Acoustic

The modulational instability of ion-acoustic waves (IAWs) in a four-component magneto-plasma system consisting of positive–negative ions fluids and non-Maxwellian (r,q) distributed electrons and positrons, is investigated. The basic system of fluid equations is reduced to a three-dimensional (3D) nonlinear Schrödinger Equation (NLS). The domains of the IAWs stability are determined and are found to be strongly affected by electrons and positrons spectral parameters r and q and temperature ratio Tp/Te (Tp and Te are positrons and electrons temperatures, respectively). The existence domains, where we can observe the ion-acoustic rogue waves (IARWs) are determined. The basic features of IARWs are analyzed numerically against the distribution parameters and the other system physical parameters as Tp/Te and the external magnetic field strength. Moreover, a comparison between the first- and second-order rogue waves solution is presented. Our results show that the nonlinearity of the system increases by increasing the values of the non-Maxwellian parameters and the physical parameters of the system. This means that the system gains more energy by increasing r, q, Tp, and the external magnetic field through the cyclotron frequency ωci. Finally, our theoretical model displays the effect of the non-Maxwellian particles on the MI of the IAWs and RWs and its importance in D–F regions of Earth’s ionosphere through (H+,O2−) and (H+,H−) electronegative plasmas.

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