Phase-controlling phononic crystals: Realization of acoustic Boolean logic gates

Bringuier, Stefan; Swinteck, N.; Vasseur, J. O.; Robillard, J.F.; Runge, Keith; Muralidharan, Krishna; Deymier, Pierre A.

doi:10.1121/1.3631627

Cited by 32 publications

(21 citation statements)

References 19 publications

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“…Since the modes (k R ) are equivalent up to a reciprocal lattice vector parallel to the surface (G S ), 25 another outgoing mode propagating in the direction of v G is also excited. [26][27][28] A plane wave incident from the right on the air-SC R interface cannot propagate inside SC R since no states are available for coupling due to the existence of a directional band gap along the CX 0 direction, Fig. 2(b).…”

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confidence: 98%

“…1,13,15 Besides, the existence of such EFCs facilitates the coupling of an oblique incident wave from air into several equivalent modes in a slab SC. [26][27][28] The excited modes can be resolved across the SC-air interface so that they are utilized in beam splitting, [26][27][28] phase control, 27,28 and acoustic logic gates. 28 FEM simulations of the SC junction diode are depicted in Fig.…”

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confidence: 99%

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Refraction-type sonic crystal junction diode

Çiçek

Kaya

Uluğ

2012

Applied Physics Letters

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Unidirectional sound transmission across a junction of two square sonic crystals with different orientations and lattice constants is numerically investigated. Re-scaling and rotating the wave vectors through refractions across the air-first sonic crystal interface and the junction, respectively, facilitate coupling into the spatial modes of the second crystal. Unidirectional transmission, demonstrated through finite element method simulations, is accomplished between 10.4 kHz and 12.8 kHz. Transmission values to the right and left are greater than 60% and less than 1.0%, respectively, between 11.0 kHz and 12.4 kHz, resulting in a contrast ratio greater than 0.9.

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confidence: 98%

mentioning

confidence: 99%

Refraction-type sonic crystal junction diode

Çiçek

Kaya

Uluğ

2012

Applied Physics Letters

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“…Recently, phononic computing has been suggested as a possible strategy to augment electronic and optical computers (18) or even facilitate phononicbased quantum computing (19,20). All-phononic circuits have been theoretically proposed (21,22) and phononic metamaterials (23)(24)(25)(26) have been identified as tools to perform basic logic operations (6,7). Electromechanical logic (27) and transistors (28) operating using multiple frequencies have also been demonstrated.…”

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confidence: 99%

Bistable metamaterial for switching and cascading elastic vibrations

Bilal

Foehr

Daraio

2017

Proc. Natl. Acad. Sci. U.S.A.

163

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The realization of acoustic devices analogous to electronic systems, like diodes, transistors, and logic elements, suggests the potential use of elastic vibrations (i.e., phonons) in information processing, for example, in advanced computational systems, smart actuators, and programmable materials. Previous experimental realizations of acoustic diodes and mechanical switches have used nonlinearities to break transmission symmetry. However, existing solutions require operation at different frequencies or involve signal conversion in the electronic or optical domains. Here, we show an experimental realization of a phononic transistor-like device using geometric nonlinearities to switch and amplify elastic vibrations, via magnetic coupling, operating at a single frequency. By cascading this device in a tunable mechanical circuit board, we realize the complete set of mechanical logic elements and interconnect selected ones to execute simple calculations.phononic metamaterials | tunable materials | phonon switching and cascading | phononic computing | acoustic transistor T he idea of realizing a mechanical computer has a long established history (1). The first known calculators and computers were both mechanical, as in Charles Babbage's concept of a programmable computer and Ada Lovelace's first description of programing (2). However, the discovery of electronic transistors rapidly replaced the idea of mechanical computing. Phononic metamaterials, used to control the propagation of lattice vibrations, are systems composed of basic building blocks, (i.e., unit cells) that repeat spatially. These materials exhibit distinct frequency characteristics, such as band gaps, where elastic/acoustic waves are prohibited from propagation. Potential applications of phononic metamaterials in computing can range from thermal computing (3-5) (at small scales) to ultrasound and acousticbased computing (6, 7) (at larger scales). Phononic devices analogous to electronic or optical systems have already been demonstrated. For example, acoustic switches (8, 9), rectifiers (10, 11), diodes (12-15), and lasers (16, 17) have been demonstrated both numerically and experimentally. Recently, phononic computing has been suggested as a possible strategy to augment electronic and optical computers (18) or even facilitate phononicbased quantum computing (19,20). All-phononic circuits have been theoretically proposed (21, 22) and phononic metamaterials (23-26) have been identified as tools to perform basic logic operations (6, 7). Electromechanical logic (27) and transistors (28) operating using multiple frequencies have also been demonstrated. Most of these devices operate using electronic signals (26) and/or operate at mixed frequencies. When different frequencies are needed for information to propagate, it becomes difficult, if not impossible, to connect multiple devices in a circuit.Electronic transistors used in today's electronic devices are characterized by their ability to switch and amplify electronic signals. Conventional field-effect tran...

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“…There have been theoretical attempts to design and demonstrate thermal switches and logic gates that manipulate phonons 15,16 , but acoustic switches capable of actively controlling a wide frequency range of acoustic signals via an external input remain elusive. An experimental realization of such acoustic switches and logic gates has not been demonstrated, although relevant notions have been theoretically proposed 5,17,18 .…”

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confidence: 99%

Granular acoustic switches and logic elements

et al. 2014

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Electrical flow control devices are fundamental components in electrical appliances and computers; similarly, optical switches are essential in a number of communication, computation and quantum information-processing applications. An acoustic counterpart would use an acoustic (mechanical) signal to control the mechanical energy flow through a solid material. Although earlier research has demonstrated acoustic diodes or circulators, no acoustic switches with wide operational frequency ranges and controllability have been realized. Here we propose and demonstrate an acoustic switch based on a driven chain of spherical particles with a nonlinear contact force. We experimentally and numerically verify that this switching mechanism stems from a combination of nonlinearity and bandgap effects. We also realize the OR and AND acoustic logic elements by exploiting the nonlinear dynamical effects of the granular chain. We anticipate these results to enable the creation of novel acoustic devices for the control of mechanical energy flow in high-performance ultrasonic devices.

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Phase-controlling phononic crystals: Realization of acoustic Boolean logic gates

Cited by 32 publications

References 19 publications

Refraction-type sonic crystal junction diode

Refraction-type sonic crystal junction diode

Bistable metamaterial for switching and cascading elastic vibrations

Granular acoustic switches and logic elements

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