Guiding and bending of acoustic waves in highly confined phononic crystal waveguides

Khelif, Abdelkrim; Choujaa, Abdelkrim; Benchabane, Sarah; Djafari‐Rouhani, Bahram; Laude, Vincent

doi:10.1063/1.1757642

Cited by 448 publications

(237 citation statements)

References 14 publications

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“…This concept would represent an analogy to the macroscale PnC waveguide which is used to channel acoustic or elastic waves. 8,[50][51][52] Other similar adoptions may also be done in the broader context of the emerging field of phononics.…”

Section: Discussionmentioning

confidence: 99%

Thermal characterization of nanoscale phononic crystals using supercell lattice dynamics

Davis

Hussein

2011

AIP Advances

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The concept of a phononic crystal can in principle be realized at the nanoscale whenever the conditions for coherent phonon transport exist. Under such conditions, the dispersion characteristics of both the constitutive material lattice (defined by a primitive cell) and the phononic crystal lattice (defined by a supercell) contribute to the value of the thermal conductivity. It is therefore necessary in this emerging class of phononic materials to treat the lattice dynamics at both periodicity levels. Here we demonstrate the utility of using supercell lattice dynamics to investigate the thermal transport behavior of three-dimensional nanoscale phononic crystals formed from silicon and cubic voids of vacuum. The periodicity of the voids follows a simple cubic arrangement with a lattice constant that is around an order of magnitude larger than that of the bulk crystalline silicon primitive cell. We consider an atomic-scale supercell which incorporates all the details of the silicon atomic locations and the void geometry. For this supercell, we compute the phonon band structure and subsequently predict the thermal conductivity following the Callaway-Holland model. Our findings dictate that for an analysis based on supercell lattice dynamics to be representative of the properties of the underlying lattice model, a minimum supercell size is needed along with a minimum wave vector sampling resolution. Below these minimum values, a thermal conductivity prediction of a bulk material based on a supercell will not adequately recover the value obtained based on a primitive cell. Furthermore, our results show that for the relatively small voids and void spacings we consider (where boundary scattering is dominant), dispersion at the phononic crystal unit cell level plays a noticeable role in determining the thermal conductivity

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Section: Discussionmentioning

confidence: 99%

Thermal characterization of nanoscale phononic crystals using supercell lattice dynamics

Davis

Hussein

2011

AIP Advances

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“…1,2 Since PCs were first proposed by Kushwaha et al, 2 much attention has been devoted to PCs because of their substantial applications in waveguide, 3 sound attenuation, 4 absorber, 5,6 sound insulation, 7 acoustic lens, 8 enhanced inertia, 9 shield, 10 filtering, 11,12 sensor, 13 strong reflectors for surface acoustic waves, [14][15][16] and microfluidic manipulations. 17,18 In addition, PCs give rise to novel effects, such as negative refraction, [19][20][21] negative birefraction, 22 negative elastic modulus, 23 and negative mass density.…”

Section: Introductionmentioning

confidence: 99%

Experimental study on the sound absorption characteristics of continuously graded phononic crystals

Zhang

et al. 2016

AIP Advances

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Novel three-dimensional (3D) continuously graded phononic crystals (CGPCs) have been designed, and fabricated by 3D printing. Each of the CGPCs is an entity instead of a combination of several other samples, and the porosity distribution of the CGPC along the incident direction is nearly linear. The sound absorption characteristics of CGPCs were experimentally investigated and compared with those of uniform phononic crystals (UPCs) and discretely stepped phononic crystals (DSPCs). Experimental results show that CGPCs demonstrate excellent sound absorption performance because of their continuously graded structures. CGPCs have higher sound absorption coefficients in the large frequency range and more sound absorption coefficient peaks in a specific frequency range than UPCs and DSPCs. In particular, the sound absorption coefficients of the CGPC with a porosity of 0.6 and thickness of 30 mm are higher than 0.56 when the frequency is 1350–6300 Hz and are all higher than 0.2 in the studied frequency range (1000–6300 Hz). CGPCs are expected to have potential application in noise control, especially in the broad frequency and low-frequency ranges.

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“…An interesting feature of such systems is the possibility of the localization of mechanical energy on low dimensional structures. [8][9][10][11] . Typically, when such modes exist in well ordered systems, they are confined to regions near defects in crystals or at surfaces 12,13 .…”

Section: Introductionmentioning

confidence: 99%

Sparse phonon modes of a limit-periodic structure

Marcoux

Socolar

2016

Phys. Rev. B

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Limit-periodic structures are well ordered but nonperiodic, and hence have nontrivial vibrational modes. We study a ball and spring model with a limit-periodic pattern of spring stiffnesses and identify a set of extended modes with arbitrarily low participation ratios, a situation that appears to be unique to limit-periodic systems. The balls that oscillate with large amplitude in these modes live on periodic nets with arbitrarily large lattice constants. By studying periodic approximants to the limit-periodic structure, we present numerical evidence for the existence of such modes, and we give a heuristic explanation of their structure.

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Guiding and bending of acoustic waves in highly confined phononic crystal waveguides

Cited by 448 publications

References 14 publications

Thermal characterization of nanoscale phononic crystals using supercell lattice dynamics

Thermal characterization of nanoscale phononic crystals using supercell lattice dynamics

Experimental study on the sound absorption characteristics of continuously graded phononic crystals

Sparse phonon modes of a limit-periodic structure

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