Acoustic diode: Wave non-reciprocity in nonlinearly coupled waveguides

Grinberg, Itay; Vakakis, Alexander F.; Gendelman, Oleg

doi:10.1016/j.wavemoti.2018.08.005

Cited by 42 publications

(19 citation statements)

References 26 publications

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“…( 26) requires substantial amount of approximations. To check the validity of these approximations, we compare the approximate solutions (26) with direct numeric simulations of System (8). Typical results are presented in Fig.…”

Section: Simplified Model Of the Breather Propagationmentioning

confidence: 99%

Breather arrest in a chain of damped oscillators with Hertzian contact

Strozzi

Gendelman

2021

Wave Motion

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Breather propagation in a damped oscillatory chain with Hertzian nearest-neighbour coupling is investigated. The breather propagation exhibits an unusual two-stage pattern. The first stage is characterized by power-law decay of the breather amplitude. This stage extends over finite number of the chain sites. Drastic drop of the breather amplitude towards the end of this finite fragment is referred to as breather arrest. At the second stage, the breather exhibits very small amplitudes with hyper-exponential decay. Numeric results are rationalized by considering a simplified model of two damped linear oscillators coupled by Hertzian contact forces. Initial excitation of one of these oscillators results in a finite number of beating cycles in the system. This simplified model reliably predicts main features of the breather arrest. More general coupling potentials and effect of pre-compression on the breather propagation are also discussed.

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Section: Simplified Model Of the Breather Propagationmentioning

confidence: 99%

Breather arrest in a chain of damped oscillators with Hertzian contact

Strozzi

Gendelman

2021

Wave Motion

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“…The nonlinear schemes made of granular material essentially take advantage of the CAN effect between grains. Itay Grinberg et al proposed two nonlinear schemes with vibro-impact elements theoretically 37 . In fact, a solid-solid contact interface is the simplest vibro-impact element.…”

Section: Contact Nonlinear Acoustic Diodementioning

confidence: 99%

Contact Nonlinear Acoustic Diode

Huang

Wang

Gong

et al. 2020

Sci Rep

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Nonlinear implementations of acoustic diodes are inherently nonreciprocal and have received continuous attention from the beginning of the research boom for acoustic diodes. However, all the reported nonlinear schemes usually have the shortcomings such as low transmission ratio, action threshold, lack of stability and cumbersome setups. In the present design, we take advantage of extraordinarily large contact acoustic nonlinearity which is several orders of magnitude stronger than material nonlinearity. It is theoretically found that the spectra of the transmitted wave depend on the contact time. It is proven experimentally that the contact nonlinearity can be tamed by adjusting the driving amplitude, the static stress and the elastic constants of the materials. In order to build a compact acoustic diode, a sub-wavelength filter with a sandwich structure is designed. The total length of the acoustic diode is only three eighths of the incident wavelength. The amplitude-dependent behavior of the device exhibits similarities with electronic diodes. A more than 50% transmission ratio is obtained. A robust, stable, compact, highly efficient and solid-state acoustic diode is realized.

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“…Since ultrasound is widely used in biomedical imaging and non-destructive diagnostics, recently, the concept of acoustic diodes has raised interest among researchers in physics and engineering. One way to get directional acoustic wave propagation in a waveguide, is to use nonlinear materials to break the reciprocity in the transmission (Liang et al 2009(Liang et al , 2010Popa and Cummer 2014;Grinberg et al 2018;Darabi et al 2019;Li et al 2019Li et al , 2020. This method, however, suffers from low efficiency due to considerable losses in the nonlinear conversion (Chen et al 2017;Song et al 2016).…”

Section: Introductionmentioning

confidence: 99%

“…This method, however, suffers from low efficiency due to considerable losses in the nonlinear conversion (Chen et al 2017;Song et al 2016). It has also other limitations, such as significant alteration and distortion of the frequency content of the transmitted acoustic signal (Grinberg et al 2018), as well as bandwidth limitations of working frequencies (Zhu et al 2015b). This motivates the efforts on the investigation of linear and passive acoustic one-way structures, trying to find the design of sound-hard material so that the problem setup works as an acoustic diode (He et al 2011;Li et al 2012a, b;Zhu et al 2015a;Chen et al 2017;He and Kang 2018).…”

Section: Introductionmentioning

confidence: 99%

Topology optimization of an acoustic diode?

Bokhari

Mousavi

Niu

et al. 2021

Struct Multidisc Optim

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By using topology optimization, we consider the problem of designing a passive acoustic device that allows for one-way flow of sound waves; such a device is often colloquially referred to as an acoustic diode. The Helmholtz equation is used to model the time harmonic linear wave propagation together with a Dirichlet-to-Neumann (DtN) type boundary condition, and the finite element method is used for discretization. The objective of this study is to maximize the wave propagation in one direction (from left to right) and minimize the wave propagation in the reverse direction (from right to left) for planar incoming waves. The method of moving asymptotes (MMA) solves the optimization problem, and a continuation approach is used for the penalizing intermediate design variables. The results for the optimized waveguide show that more than 99.8% of the power of planar incoming waves get transmitted from left to right while less than 0.3% gets transmitted in the reverse direction for planar incoming waves in the specified frequency range. Since a true diode is a non-reciprocal device and here we used a linear acoustic wave model, which is basically reciprocal, we discuss details about how it appears to be possible to obtain a one-way waveguiding effect using this linear model.

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Acoustic diode: Wave non-reciprocity in nonlinearly coupled waveguides

Cited by 42 publications

References 26 publications

Breather arrest in a chain of damped oscillators with Hertzian contact

Breather arrest in a chain of damped oscillators with Hertzian contact

Contact Nonlinear Acoustic Diode

Topology optimization of an acoustic diode?

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