Broadband reconfigurable logic gates in phonon waveguides

Hatanaka, Daiki; Darras, Tom; Mahboob, Imran; Onomitsu, Koji; Yamaguchi, Hiroshi

doi:10.1038/s41598-017-12654-3

Cited by 21 publications

(22 citation statements)

References 48 publications

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“…In this section, we investigate the numerical solutions to the set of advection-reaction equations [Eq. (17)], which resulted from the consideration of multiple time and space scales in the dynamic resonance of the approximate quadratic locally resonant metamaterial. The 1D advection-reaction equations involve first-order derivatives in space and in time.…”

Section: Semianalytical Resultsmentioning

confidence: 99%

“…In these papers, it was shown that nonlinearity induces amplitude-dependent dispersion and group velocity, i.e., demonstrating the tunability potential of nonlinear phononic structures. By making use of this feature, new functionalities have been proposed, such as mechanical switches and logic gates [17], acoustic diodes [18], and acoustic rectifiers [19]. In granular materials, the effect of highly nonlinear interactions has been shown to induce solitary wave propagation [20,21] and discrete breathers [22].…”

Section: Introductionmentioning

confidence: 99%

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Emergent subharmonic band gaps in nonlinear locally resonant metamaterials induced by autoparametric resonance

et al. 2019

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With the aim of developing high-performance locally resonant metamaterials, the effect of nonlinear hyperelastic interactions between a rubberlike elastomeric local resonator and the host matrix is investigated. The results reveal a new emergent physical phenomenon not previously reported within the framework of elastoacoustic metamaterials: The appearance of a half subharmonic attenuation zone complementing the local resonance band gap around the fundamental frequency. Evidence of the emergent attenuation zone is provided by direct numerical simulations as well as semianalytical developments via the method of multiple scales. The analyses demonstrate that, in the considered nonlinear locally resonant metamaterial, the combined effects of autoparametric and local resonance induce saturation of the primary wave at certain conditions and, subsequently, promote energy exchange from a primary propagating wave to an evanescent subharmonic wave, giving rise to an additional attenuation zone. This opens new possibilities for the design of passive filtering devices for elastoacoustic waves.

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Section: Semianalytical Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Emergent subharmonic band gaps in nonlinear locally resonant metamaterials induced by autoparametric resonance

et al. 2019

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“…Locally resonant metamaterials operating in the nonlinear regime 9 – 11 provide even more opportunities for breakthrough applications. Recently, nonlinearities have been exploited in locally resonant granular crystals 12 , 13 or to obtain logic gates 14 and acoustic diodes 15 .…”

Section: Introductionmentioning

confidence: 99%

Experimental proof of emergent subharmonic attenuation zones in a nonlinear locally resonant metamaterial

Zega

Silva

Geers

et al. 2020

Sci Rep

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High-performance locally resonant metamaterials represent the next frontier in materials technology due to their extraordinary properties obtained through materials design, enabling a variety of potential applications. the most exceptional feature of locally resonant metamaterials is the subwavelength size of their unit cells, which allows to overcome the limits in wave focusing, imaging and sound/vibration isolation. To respond to the fast evolution of these artificial materials and the increasing need for advanced and exceptional properties, the emergence of a new mechanism for wave mitigation and control consisting in a nonlinear interaction between propagating and evanescent waves has recently been theoretically demonstrated. Here, we present the experimental proof of this phenomenon: the appearance of a subharmonic transmission attenuation zone due to energy exchange induced by autoparametric resonance. these results pave the path to a new generation of nonlinear locally resonant metamaterials. Metamaterials 1, 2 are artificially engineered materials designed to obtain specific, often exotic, properties. Among the wide variety of possible metamaterial properties, the opening of a band gap, which is defined as the frequency range where elasto-acoustic waves cannot propagate, is attracting increasing interest because of its versatile applications 3-5. In particular, a wide and low frequency band gap offers a number of potential applications, such as sound attenuation, super-resolution acoustic imaging, and vibration mitigation. Typical physical phenomena responsible for the band gap opening are Bragg scattering 6,7 , inherent to periodic structures, and local resonance 8 that also promotes band gaps in materials composed of unit cells with subwavelength dimensions. The latter is the focus of the present work. Locally resonant metamaterials operating in the nonlinear regime 9-11 provide even more opportunities for breakthrough applications. Recently, nonlinearities have been exploited in locally resonant granular crystals 12,13 or to obtain logic gates 14 and acoustic diodes 15. Despite of great interest, the number of investigations carried out on the nonlinear dynamic behavior of locally resonant metamaterials exhibiting attenuation frequency ranges is quite limited in comparison with linear ones, also because of the conceptual and modelling difficulties 16-20. Only few works investigated the energy transfer mechanisms induced by the nonlinear coupling between the resonator and the host medium. In some papers 21-24 , the irreversible energy transfer mechanisms are induced by a single purely nonlinear attachment, the so-called nonlinear energy sinks (NES). Only very few papers have considered cases in which nonlinear resonant attachments are densely or periodically distributed in a host material. In this case, two main energy transfer mechanisms can arise. The first one is called inter/intra-modal tunneling and is a well-studied phenomenon in nonlinear wave dynamics. It consists of an energy exchange between t...

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“…Defect arrays can result in the formation of acoustic metamaterials that are homogenized artificial materials with unprecedented functionalities [4,6]. Similar to electromagnetic wave propagation in photonic crystal structures, the propagation of acoustic modes influenced by these localized defect modes in phononic structures can be designed to realize sensors [7], filters and waveguides [8,9], and acoustic logic elements [10,11] in the ultrasonic frequency domain.…”

Section: Introductionmentioning

confidence: 99%

All-acoustic signal modulation and logic operation via defect induced cavity effects in phononic crystal coupled-resonator acoustic waveguides

Reyes

Walker²,

Zubov

et al. 2019

New J. Phys.

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A coupled resonant acoustic waveguide (CRAW) in a phononic crystal (PnC) was engineered to manipulate the propagation of ultrasonic waves within a conventional phononic bandgap for wavelength division multiplexing. The PnC device included two, forked, distinct CRAW waveguide channels that exhibited strong frequency and mode selectivity. Each branch was composed of cavities of differing volumes, with each giving rise to deep and shallow 'impurity' states. These states were utilized to select frequency windows where transmission along the channels was suppressed distinctly for each channel. Though completely a linear system, the mode sensitivity of each CRAW waveguide channel produced apparent nonlinear power dependence along each branch. Nonlinearity in the system arises from the combination of the mode sensitivity of each CRAW channel and small variations in the shape of the incident wavefront as a function of input power. The all-acoustic effect was then leveraged to realize an ultrasonic, spatial signal modulator, and logic element operating at 398 and 450 kHz using input power.

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Broadband reconfigurable logic gates in phonon waveguides

Cited by 21 publications

References 48 publications

Emergent subharmonic band gaps in nonlinear locally resonant metamaterials induced by autoparametric resonance

Emergent subharmonic band gaps in nonlinear locally resonant metamaterials induced by autoparametric resonance

Experimental proof of emergent subharmonic attenuation zones in a nonlinear locally resonant metamaterial

All-acoustic signal modulation and logic operation via defect induced cavity effects in phononic crystal coupled-resonator acoustic waveguides

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