Out-of-plane propagation of elastic waves in two-dimensional phononic band-gap materials

Abstract

We have used a plane-wave-expansion model to study the out-of-plane propagation of elastic waves in a two-dimensional phononic band-gap material. The case of quartz rods embedded in an epoxy matrix has been computed. Band gaps for nonzero values of the wave-vector component parallel to the rods are shown to exist and are investigated. For wavelengths smaller than the period of the structure, modes are found that are localized in the epoxy intersites, and propagate perpendicularly to the plane of the structure.

Complete Band Gaps in Nano-Piezoelectric Phononic Crystals

“…In some cases, rectangular lattice can produce broader gaps. In this context, we extend the studies about piezoelectric PCs [40][41][42][43][44][45][46][47][48][49][50][51][52][53][54] considering the influence of different inclusion geometries -circular, hollow circular, square and rotated square with 45º angle of rotation with respect to the x and y axes, and different lattices -square, rectangular, triangular, honeycomb and Kagomé on the band structure. Furthermore, researches have used PCs on the scale µm 10,17,64,65 and mm, resulting in band gaps ranging from GHz and kHz to MHz, respectively.…”

“…PCs have many applications, such as vibration isolation technology [18][19][20][21][22] , acoustic barriers/filters [23][24][25] , noise suppression devices [26][27] , surface acoustic devices 28 , architectural design 29 , sound shields 30 , acoustic diodes 31 , elastic metamaterials [21][22]25,27,32 and thermal metamaterials [33][34][35][36][37][38][39] . There are also smart PCs that have been studied, such as piezoelectric [40][41][42][43][44][45][46][47][48][49][50][51][52][53][54] , piezomagnetic [55][56][57][58] and magnetoelectroelastic 14,[59][60][61]…”

Surface acoustic wave band gaps in micro-machined air/silicon phononic structures — theoretical calculation and experiment

“…For research in band gaps of BAW modes of phononic structures, the mixed and transverse polarization modes have been carried out using plane wave expansion (PWE) method [5][6][7][8][9][10][11][12][13][14][15]. The effects of the orientation of square rods on the acoustic band gaps in a two-dimensional phononic crystal (solid/air) were discussed [10][11][12][13].…”

Simulations of acoustic waves bandgaps in a surface of silicon with a periodic hole structure in a thin nickel film

“…Literature gives information on investigation of bulk waves 5 and surface waves 6 in the media containing cylinders in a periodic lattices of different symmetries. Full energy gaps have been obtained thanks to a high acoustic contrast between the materials, 7 rotation of the elasticity tensors of the cylinders, 5,6 taking into account piezoelectric properties [8][9][10] or by making use of local resonance effect. 1,[12][13][14] The most often used simulation a Electronic mail: graczyk@amu.edu.pl methods are that of finite elements, that of finite differences 2,15 and that of plane waves.…”