Demonstration of acoustic waveguiding and tight bending in phononic crystals

Baboly, Mohammadhosein Ghasemi; Raza, Ali; Brady, Jeffrey; Reinke, Charles M.; Leseman, Zayd Chad; El-Kady, Ihab F

doi:10.1063/1.4966463

Cited by 30 publications

(6 citation statements)

References 30 publications

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“…The proposed (chiral) system possesses the property of guiding elastic waves inside the medium. This phenomenon is fundamentally different from conventional waveguides, which are created by breaking periodicity and modifying the properties of the system along a prescribed path 47–51 . In contrast, in our system unidirectional propagation can be observed if we place the source at any point of the periodic lattice.…”

Section: Discussionmentioning

confidence: 96%

“Deflecting elastic prism” and unidirectional localisation for waves in chiral elastic systems

Carta

Jones

Movchan

et al. 2017

Sci Rep

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1For the first time, a design of a "deflecting elastic prism" is proposed and implemented for waves in a chiral medium. A novel model of an elastic lattice connected to a non-uniform system of gyroscopic spinners is designed to create a unidirectional wave pattern, which can be diverted by modifying the arrangement of the spinners within the medium. This important feature of the gyro-system is exploited to send a wave from a point of the lattice to any other point in the lattice plane, in such a way that the wave amplitude is not significantly reduced along the path. We envisage that the proposed model could be very useful in physical and engineering applications related to directional control of elastic waves.An object is defined as "chiral" if it cannot be superimposed onto its mirror image 1 . In electromagnetism, chiral metamaterials have been designed to exhibit negative refraction [2][3][4] and to achieve dynamic tunability 5 . In elasticity, chiral assemblies of structural elements have been proposed to realise an effective medium with negative Poisson's ratio 6,7 and to modify the dispersive properties of a lattice system through generating band-gaps and directional preference of waves 8,9 . An elastic metamaterial with a chiral microstructure was devised by Zhu et al. 10 to yield negative refraction effects at the sub-wavelength scale. More recently, Tallarico et al. 11 have designed a chiral interface by introducing tilted resonators into a triangular elastic lattice, which behaves as a flat elastic lens.Chiral properties can be conferred on a discrete elastic medium by installing a system of gyros (or spinners), as proposed by Brun et al. 12 for the first time. Wave polarisation, dynamic anisotropy and forced response in the frequency domain for an elastic lattice with gyros were discussed extensively by Carta et al.13 . The same model was used by Wang et al.14 to induce propagation of edge modes around defects in the transient regime. A gyroscopic metamaterial breaking time-reversal symmetry was presented by Nash et al. 15 . A model with micro-inertia having effective frequency-dependent moment of inertia was developed by Milton and Willis 16 by introducing a spinning top into a seemingly rigid body.Dynamic properties of elastic discrete media have attracted much interest in the last two decades, since discrete systems allow for an analytical treatment. In particular, elastic lattices can be designed analytically to exhibit band-gaps at predefined frequencies 17,18 . Disorder and imperfections can also be included in the mathematical formulation of the model by using the notion of localisation factor [19][20][21] . In this paper, we establish unidirectional localisation and directional control of waves in an elastic triangular lattice, where each mass is coupled with a gyroscopic spinner. For convenience, this medium will henceforth be referred to as a gyro-system. In a different way to previous works 12,13 , here we assume that the system of spinners consists of two types of gyros, havin...

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Section: Discussionmentioning

confidence: 96%

“Deflecting elastic prism” and unidirectional localisation for waves in chiral elastic systems

Carta

Jones

Movchan

et al. 2017

Sci Rep

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“…By introducing defects that break the crystal symmetry, typically induced by removing scatterers, defect modes become allowed within the bandgap. [3][4][5][6] While a single defect acts as a resonator, promoting a unique in-gap eigenmode, a group of defects gives rise to multiple coupled eigenmodes leading to miniband transmission within the stopband interval. [7] The coupling of resonant modes in defect-based PnCs has been successfully described approximating these as Coupled Resonator Acoustic Waveguides (CRAWs) within the framework of tight-binding models (TBM).…”

Section: Introductionmentioning

confidence: 99%

Coupled Resonator Acoustic Waveguides‐Based Acoustic Interferometers Designed within 2D Phononic Crystals: Experiment and Theory

Martínez‐Esquivel,

Méndez‐Sánchez,

Heo

et al. 2023

Advanced Physics Research

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The acoustic response of defect‐based acoustic interferometer‐like designs, known as Coupled Resonator Acoustic Waveguides (CRAWs), in 2D phononic crystals (PnCs) is reported. The PnC is composed of steel cylinders arranged in a square lattice within a water matrix with defects induced by selectively removing cylinders to create Mach‐Zehnder‐like (MZ) defect‐based interferometers. Two defect‐based acoustic interferometers of MZ‐type are fabricated, one with arms oriented horizontally and another one with arms oriented diagonally, and their transmission features are experimentally characterized using ultrasonic spectroscopy. The experimental data are compared with finite element method (FEM) simulations and with tight‐binding (TB) calculations in which each defect is treated as a resonator coupled to its neighboring ones. Significantly, the results exhibit excellent agreement indicating the reliability of the proposed approach. This comprehensive match is of paramount importance for accurately predicting and optimizing resonant modes supported by defect arrays, thus enabling the tailoring of phononic structures and defect‐based waveguides to meet specific requirements. This successful implementation of FEM and TB calculations in investigating CRAWs systems within PnCs paves the way for designing advanced acoustic devices with desired functionalities for various practical applications, demonstrating the application of solid‐state electronics principles to underwater acoustic devices description.

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“…While from the aspect of wave acoustics, both trajectories and phase changes matter. Previously, materials and devices with different functionalities were designed based on either the geometric [27–29] or the wave acoustics [30–32]. Therefore, any design that can reunify the geometric and wave acoustic approaches for simultaneous multifunctionalities, if realized, would contribute significantly to applications that require novel acoustic wave manipulators.…”

Section: Introductionmentioning

confidence: 99%

Conformally Mapped Multifunctional Acoustic Metamaterial Lens for Spectral Sound Guiding and Talbot Effect

Gao

Fang

et al. 2019

Research

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We demonstrate a conformally mapped multifunctional acoustic metamaterial Mikaelian lens. Mikaelian lens is a gradient medium with a hyperbolic secant refractive index profile that can realize functions like beam self-focusing. Unlike the conventional design approaches, with a conformal transformation method, only isotropic material parameters with gradient refractive index profiles are required for the construction of such lens. To realize desired gradient index distribution, we carefully design a new type of cross-channel-shaped acoustic metamaterial, whose refractive index can be effectively modulated by simply changing the slit opening size. The distinct capabilities of the metamaterial Mikaelian lens in manipulating acoustic waves are experimentally verified with the fabricated sample. Simultaneous sound guiding and Talbot effects, which normally require respective geometrical and wave acoustic approximations, are observed in simulations and experiments. Furthermore, those effects of shaping acoustic wave propagations were validated within a relatively wide frequency range. Our study reveals how the conformal transformation method can help to bridge the ray acoustics with wave acoustics. It offers opportunities to the development of novel multifunctional acoustic devices for various applications, such as sound and particle manipulations.

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Demonstration of acoustic waveguiding and tight bending in phononic crystals

Cited by 30 publications

References 30 publications

“Deflecting elastic prism” and unidirectional localisation for waves in chiral elastic systems

“Deflecting elastic prism” and unidirectional localisation for waves in chiral elastic systems

Coupled Resonator Acoustic Waveguides‐Based Acoustic Interferometers Designed within 2D Phononic Crystals: Experiment and Theory

Conformally Mapped Multifunctional Acoustic Metamaterial Lens for Spectral Sound Guiding and Talbot Effect

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