Omnidirectional phononic reflection and selective transmission in one-dimensional acoustic layered structures

Bousfia, A.; Boudouti, El Houssaine El; Djafari‐Rouhani, Bahram; Bria, Driss; Nougaoui, A.; Velasco, V R

doi:10.1016/s0039-6028(01)00877-9

Cited by 20 publications

(19 citation statements)

References 18 publications

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“…Generally speaking, the above condition implies that the cone defined by the transverse velocity of sound in the substrate contains a band gap of the PnC. 5,6 With the nitinol/epoxy PnC, this condition is, for instance, fulfilled if the substrate is made of Si. Moreover, from Figs.…”

Section: Numerical Calculation and Analysismentioning

confidence: 99%

“…3,4 In recent years, it has been shown theoretically and experimentally that, under some conditions, 1D PnCs can exhibit omnidirectional reflection (ODR), which means that in some frequency ranges incident elastic waves coming from a substrate undergo total reflection independent of polarization and incidence angle. [5][6][7][8] That is, 1D PnCs exhibit an absolute band gap similar to either to the 2D or 3D phononic band gap. The advantage of achieving ODR bands using 1D PnCs lies in the fact that their design is more practical and their analysis requires only relatively simple analytical and numerical calculations.…”

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confidence: 99%

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Thermal tuning of omnidirectional reflection bands in one-dimensional finite phononic crystals

Chen

2015

Journal of Applied Physics

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This study investigates the temperature-tuned omnidirectional reflection (ODR) bands in a one-dimensional (1D) finite phononic crystal (PnC), formed by alternating layers of nitinol and epoxy. An analytical model, based on the transfer matrix method, is developed to study reflection and transmission characteristics of the acoustic waves including shear and compressional waves in a 1D PnC. Existence criteria and the sensitive and continuous temperature-tunability of ODR bands in the nitinol/epoxy PnC are demonstrated using the analyses of projected-band structures and reflection spectra. The width and location of the ODR bands shift markedly with temperature variations of nitinol across the phase transition from martensite to austenite. The effects of temperature, filling fraction of nitinol layers, and the Si clad layer on ODR bands are considered. The results will be of benefit in the design and optimization of thermal tuning of omnidirectional acoustic mirrors.

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Section: Numerical Calculation and Analysismentioning

confidence: 99%

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confidence: 99%

Thermal tuning of omnidirectional reflection bands in one-dimensional finite phononic crystals

Chen

2015

Journal of Applied Physics

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“…It is then clear that W and Al are closer to the elastic isotropy assumed in our calculations than the other materials. The wide gaps of periodic W/Al superlattices were used to propose an omnidirectional elastic bandgap [46], which has been recently obtained in the Pb/Epoxy system [47], which exhibits a wide gap structure similar to that of the W/Al system. Because all of these reasons we shall consider our system formed by W/Al multilayer systems with substrates made of Epoxy.…”

Section: Metallic Systemsmentioning

confidence: 99%

Comparative study of the sagittal elastic waves in metallic and semiconductor multilayer systems between periodic and Fibonacci superlattices

et al. 2005

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“…Among these applications, one can mention (1) omnidirectional band gaps [55][56][57][58], (2) the possibility to engineer small-size sonic crystals with locally resonant band gaps in the audible frequency range [59], (3) hypersonic crystals [60-63] with high-frequency band gaps to enhance acousto-optical [49][50][51] or optomechanical [64,65] interaction and to realize stimulated emission of acoustic phonons [66], and (4) the possibility to enhance selective transmission through guided modes of a cavity layer inserted in the periodic structure [6,67] or by interface resonance modes induced by the superlattice/substrate interface [68][69][70]. The advantage of 1D systems lies in the fact that their design is more feasible and they require only relatively simple analytical and numerical calculations.…”

Section: Introductionmentioning

confidence: 99%

One-Dimensional Phononic Crystals

Boudouti¹,

Djafari‐Rouhani²

2012

Springer Series in Solid-State Sciences

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In this chapter, we discuss the vibrational properties of one-dimensional (1D) phononic crystals of both discrete and continuous media. These properties include the dispersion curves of infinite crystals as well as the confined modes and localized (surface, cavity) modes of finite and semi-infinite crystals. A general rule about the existence of localized surface modes in finite and semi-infinite superlattices with free surfaces is presented. We also present the calculations of reflection and transmission coefficients, particularly in view of selective filtering through localized modes. Most of the results presented in this chapter deal with waves propagating along the axis of the superlattice. However, in the last part of the chapter, we also discuss wave propagation out of the normal incidence and, more particularly, we demonstrate the possibility of omnidirectional transmission gap and selective filtering for any incidence angle. A comparison of the theoretical results with experimental data available in the literature is also presented and the reliability of the theoretical predictions is indicated. IntroductionThe one-dimensional (1D) phononic crystals called superlattices (SLs) are of great importance in material science. These structures are, in general, composed of two or several layers repeated periodically along the direction of growth. The layers constituting each cell of the SL can be made of a combination of solid-solid or solid-fluid-layered media. These materials enter now in the category of so-called phononic crystals (see the first chapter of this book and references therein) [1][2][3] constituted by inclusions (spheres, cylinders, etc.) arranged in a host matrix along two-dimensional (2D) and three-dimensional (3D) of the space. After the proposal of SLs by Esaki [4], the study of elementary excitations in multilayered systems has been very active. Among these excitations, acoustic phonons have received increased attention after the first observation by Colvard et al.[5] of a doublet associated to folded longitudinal acoustic phonons by means of Raman scattering. The essential property of these structures is the existence of forbidden frequency bands induced by the difference in acoustic properties of the constituents and the periodicity of these systems leading to unusual physical phenomena in these heterostructures in comparison with bulk materials [6][7][8].With regard to acoustic waves in solid-solid SLs, a number of theoretical and experimental works have been devoted to the study of the band gap structures of periodic SLs [6-10] composed of crystalline, amorphous semi-conductors, or metallic multilayers at the nanometric scale. The theoretical models used are essentially the transfer matrix [7,[11][12][13] and the Green's function methods [6,[14][15][16], whereas the experimental techniques include Raman scattering [5,17,18], ultrasonics [19][20][21][22][23][24][25][26][27][28][29], and time-resolved X-ray diffraction [30]. Besides the existence of the band-gap structures in perfe...

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Omnidirectional phononic reflection and selective transmission in one-dimensional acoustic layered structures

Cited by 20 publications

References 18 publications

Thermal tuning of omnidirectional reflection bands in one-dimensional finite phononic crystals

Thermal tuning of omnidirectional reflection bands in one-dimensional finite phononic crystals

Comparative study of the sagittal elastic waves in metallic and semiconductor multilayer systems between periodic and Fibonacci superlattices

One-Dimensional Phononic Crystals

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