Phonon transport and waveguiding in a phononic crystal made up of cylindrical dots on a thin homogeneous plate

Pennec, Yan; Rouhani, B. Djafari; Larabi, H.; Akjouj, Abdellatif; Gillet, Jean-Numa; Vasseur, J. O.; Thabet, G.

doi:10.1103/physrevb.80.144302

Cited by 105 publications

(80 citation statements)

References 40 publications

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“…The frequency of the Bragg bandgap is linked to the period of the PnCs and thus affects only phonons with the wavelengths of about the characteristic size of the system [27,35,37]. The frequencies of the local resonance bandgaps are linked to the resonant frequencies of the pillars [27], which can be tuned via structural parameters, such as pillar diameter [30,38] and height [25,26,30,38,39], or material parameters, such as density and Young modulus [25,30].…”

Section: Physics Of Local Resonances and Phononic Bandgapsmentioning

confidence: 99%

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Phonon and heat transport control using pillar-based phononic crystals

Anufriev

Nomura

2018

Science and Technology of Advanced Materials

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Phononic crystals have been studied for the past decades as a tool to control the propagation of acoustic and mechanical waves. Recently, researchers proposed that nanosized phononic crystals can also control heat conduction and improve the thermoelectric efficiency of silicon by phonon dispersion engineering. In this review, we focus on recent theoretical and experimental advances in phonon and thermal transport engineering using pillar-based phononic crystals. First, we explain the principles of the phonon dispersion engineering and summarize early proof-of-concept experiments. Next, we review recent simulations of thermal transport in pillar-based phononic crystals and seek to uncover the origin of the observed reduction in the thermal conductivity. Finally, we discuss first experimental attempts to observe the predicted thermal conductivity reduction and suggest the directions for future research.

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Section: Physics Of Local Resonances and Phononic Bandgapsmentioning

confidence: 99%

“…Together, the Bragg and local resonance bandgaps can cover a broad range of frequencies, which makes pillar-based PnCs ideal for waveguiding [37,41–43]. To further broaden the frequency range, researchers proposed the hybrid hole/pillar-based PnCs [44,45].…”

Section: Physics Of Local Resonances and Phononic Bandgapsmentioning

confidence: 99%

Phonon and heat transport control using pillar-based phononic crystals

Anufriev

Nomura

2018

Science and Technology of Advanced Materials

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“…This has been demonstrated both numerically and experimentally, with 1D stripes periodically engraved on the surface of a lithium niobate substrate 8 and more recently with 2D phononic crystals made of a periodical array of cylindrical pillars deposited on a thin and homogeneous slab. [9][10][11][12][13][14][15][16][17][18] This last structure deserves special attention. Indeed, a pillar exhibits both compressional (monopolar) and bending (dipolar) resonances that may lead to negative dynamic effective modulus and mass density respectively.…”

Section: Introductionmentioning

confidence: 99%

Pillar-type acoustic metasurface

et al. 2017

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We theoretically investigate acoustic metasurfaces consisting of either a single pillar or a line of identical pillars on a thin plate, and we report on the dependence on the geometrical parameters of both the monopolar compressional and dipolar bending modes. We show that for specific dimensions of the resonators, a bending and a compressional modes may be simultaneously excited. We study their interaction with an anti-symmetric Lamb wave, whether or not they occur at the same frequency, with particular consideration for the amplitude and phase of waves emitted by the pillars at resonance.Especially, the analysis of both the amplitude and the phase of the wave at the common resonant frequency downstream a line of pillars, demonstrates that the reemitted waves allow for the transmission with phase shift of .

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“…Waveguides relying on a local resonance of a 2D lattice of pillars on a surface have also been demonstrated. [5][6][7][8][9][10] In both types of phononic crystal waveguides, though guidance is obtained inside a defect the width of which is smaller than the wavelength, the full structure still has to cover a larger part of the surface as a minimal number of phononic crystal layers have to be present on both sides of the waveguide to ensure wave confinement.…”

Section: Introductionmentioning

confidence: 99%

Guidance of surface elastic waves along a linear chain of pillars

et al. 2016

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The propagation of surface elastic waves, or surface phonons, is considered along a linear and periodic chain of cylindrical pillars sitting on a semi-infinite solid substrate. A variety of guided modes, some of them exhibiting a very low group velocity, are shown to exist at frequencies close to the resonance frequencies of the pillars. Although the pillar diameter is typically smaller than half the relevant wavelength, lateral radiation on the surface is found to be canceled. Surface guidance is explained by the hybridization of the resonating pillars with the continuum of elastic waves of the substrate.

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Phonon transport and waveguiding in a phononic crystal made up of cylindrical dots on a thin homogeneous plate

Cited by 105 publications

References 40 publications

Phonon and heat transport control using pillar-based phononic crystals

Phonon and heat transport control using pillar-based phononic crystals

Pillar-type acoustic metasurface

Guidance of surface elastic waves along a linear chain of pillars

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