Absolute acoustic band gap in coupled multilayer structures

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

doi:10.1209/epl/i2001-00357-4

Cited by 36 publications

(13 citation statements)

References 21 publications

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“…As mentioned in the case of photonic band gap materials, one solution would be to associate the superlattice with a cladding layer having high velocities of sound in order to create a barrier for the propagation of acoustic waves. Another solution will consist of associating two superlattices chosen appropriately in such a way that the superposition of their band structures displays a complete acoustic band gap [56,57].…”

Section: Case Of Solid-solid-layered Mediamentioning

confidence: 99%

“…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%

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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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Section: Case Of Solid-solid-layered Mediamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

One-Dimensional Phononic Crystals

Boudouti¹,

Djafari‐Rouhani²

2012

Springer Series in Solid-State Sciences

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“…The interest is continuously growing for applications in nano wave devices for terahertz acoustic phonons [3][4][5], spatial and spectral technology of acoustic modes in solids [6][7][8][9][10], acousto-optical multiple interference switches [11] and narrow-band detectors [12]. Many of these applications come from the very high level of control and perfection reached in the growth techniques of microstructures and nanostructures.…”

Section: Introductionmentioning

confidence: 99%

“…Semiconductor superlattices are very important for applications: they can operate as phonon mirrors, filter and different kinds of devices [8,9]. In particular acoustic cavities formed by introducing a layer of a different material or a layer with a different thickness in a finite superlattice have been demonstrated recently [3,9,13].…”

Section: Introductionmentioning

confidence: 99%

Vibrational properties of (0 0 1) III–V nitride superlattices

et al. 2009

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“…Some studies of the elastic waves in quasiregular systems following different sequences have already been performed [11][12][13][14][15][16][17][18]. Other studies of elastic waves in multilayer systems, including finite periodic superlattices [19,20], have shown the possibility to produce omnidirectional acoustic mirrors. Other studies of elastic waves in multilayer systems with planar defects have shown the filtering possibilities of these systems [21,22].…”

Section: Introductionmentioning

confidence: 99%