Localized and resonant guided elastic waves in an adsorbed layer on a semi-infinite superlattice

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

doi:10.1103/physrevb.61.15858

Cited by 28 publications

(13 citation statements)

References 33 publications

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“…It is well known that the introduction of a defect layer (cavity) in a periodic structure can give rise to defect modes inside the band gaps [43][44][45][46][47][48][49][50][51]81]. These modes appear as well defined peaks in the DOS; however, their contribution to the transmission rate depends strongly on the position of these defects inside the structure.…”

Section: Case Of Solid-fluid-layered Mediamentioning

confidence: 98%

“…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 perfect periodic SLs, it was shown theoretically and experimentally that the ideal SL should be modified to take into account the media surrounding the structure as a free surface [14,15,[31][32][33][34][35][36][37][38][39][40], a SL/substrate interface [14,15,34,41,42], a cavity layer [43][44][45][46][47][48][49]…”

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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-fluid-layered Mediamentioning

confidence: 98%

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confidence: 99%

One-Dimensional Phononic Crystals

Boudouti¹,

Djafari‐Rouhani²

2012

Springer Series in Solid-State Sciences

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“…It is known that embedding of the layers with different thickness or different constituents into a perfect SL can cause localized acoustic modes inside minigaps of the SL, which their wave functions are strongly localized in the vicinity of the defect layers [26]. The localized surface or interface acous- tic phonon modes in finite or semi-infinites SLs [27][28][29] have also been reported. Recently, acoustic phonons transmission and thermal conductance in quantum waveguides were investigated [30][31][32][33][34][35].…”

Section: Introductionmentioning

confidence: 95%

“…As far as acoustic vibration is concerned, due to the fact that the studies of vibrational properties are quite helpful to understand the mechanism of acoustic phonon transport and thermal conductance in SLs and nanostructures, as well as electron-phonon scattering, acoustic properties in various SLs were explored [1][2][3][4][5][6]. Theoretically, the properties of acoustic phonon in various superlattice (SL) structures, such as infinite and semi-infinite SLs [7][8][9][10], finite SLs [11][12][13], and polytype SLs [14,15] function methods. Otherwise, the finite difference time domain method was adopted to analyze surface acoustic waves propagating in two-dimensional phonon crystal waveguides [16].…”

Section: Introductionmentioning

confidence: 99%

Effect of diffusion layers and defect layer on acoustic phonons transport through the structure consisting of different films

Wang

Huang

et al. 2008

Physics Letters A

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“…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]. Quite recently the idea of hybrid-order devices composed of both periodic and quasiregular subunits has been presented [23] in order to widen the possibilities of engineering modular optical structures.…”

Section: Introductionmentioning

confidence: 99%