Transmission gaps and Fano resonances in an acoustic waveguide: analytical model

Boudouti, El Houssaine El; Mrabti, T.; Al-Wahsh, Housni; Djafari‐Rouhani, Bahram; Akjouj, Abdellatif; Dobrzyński, L.

doi:10.1088/0953-8984/20/25/255212

Cited by 85 publications

(65 citation statements)

References 64 publications

(101 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In acoustic waveguides, these configurations were first studied by Sugimoto [5] and Bradley [6]. In recent years, they have reignited interest due to their importance in sound isolation [7,8] and slow sound propagation [9,10]. However, in these studies, there is either no systematic characterization of the slow sound propagation [5,6] or the role of losses is underestimated [9,10].…”

Section: Introductionmentioning

confidence: 99%

“…In recent years, they have reignited interest due to their importance in sound isolation [7,8] and slow sound propagation [9,10]. However, in these studies, there is either no systematic characterization of the slow sound propagation [5,6] or the role of losses is underestimated [9,10]. The latter could lead to misleading conclusions because, as has been shown in relevant works [11][12][13][14], flat propagating bands corresponding to slow wave propagation acquire an enhanced damping when compared to bands with larger group velocities.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Limits of slow sound propagation and transparency in lossy, locally resonant periodic structures

et al. 2014

View full text Add to dashboard Cite

We investigate sound propagation in lossy, locally resonant periodic structures by studying an air-filled tube periodically loaded with Helmholtz resonators and taking into account the intrinsic viscothermal losses. In particular, by tuning the resonator with the Bragg gap in this prototypical locally resonant structure, we study the limits and various characteristics of slow sound propagation. While in the lossless case the overlapping of the gaps results in slow-sound-induced transparency of a narrow frequency band surrounded by a strong and broadband gap, the inclusion of the unavoidable losses imposes limits to the slowdown factor and the maximum transmission. Experiments, theory, and finite element simulations have been used for the characterization of acoustic wave propagation by tuning the Helmholtz/Bragg frequencies and the total amount of loss both for infinite and finite lattices. This study contributes to the field of locally resonant acoustic metamaterials and slow sound applications.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Limits of slow sound propagation and transparency in lossy, locally resonant periodic structures

et al. 2014

View full text Add to dashboard Cite

show abstract

“…In this case a symmetric Fano resonance can be obtained whose width can be tuned by adjusting the frequencies of the zeros of transmission. Such resonances have been found also for acoustic and magnetic circuits formed by a guide inserted between two dangling resonators [130,131].…”

Section: Case Of Solid-fluid-layered Mediamentioning

confidence: 68%

One-Dimensional Phononic Crystals

Boudouti¹,

Djafari‐Rouhani²

2012

Springer Series in Solid-State Sciences

View full text Add to dashboard Cite

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...

show abstract

“…Similarly, in acoustic metamaterials, resonance coupling has been used to realize perfect acoustic absorption in a two-port system [7,8], EIT-like acoustic transmission [9], and extraordinary acoustic transmission [10]. Moreover, there have been theoretical considerations in the study of such coupling between two identical resonators [11], or frequency-detuned resonators (two closely-placed resonances) [8,12]. These coupled resonator systems mostly have used resonators of similar characteristics.…”

Section: Introductionmentioning

confidence: 99%

Acoustic resonance coupling for directional wave control: from angle-dependent absorption to asymmetric transmission

Lee

Iizuka

2019

New J. Phys.

View full text Add to dashboard Cite

We investigate acoustic wave coupling between two resonators of very different intrinsic losses, e.g. lossy and lossless resonators as an extreme case. We find that the resonator pair placed on a reflector exhibits angle-dependent absorption, showing an order of magnitude difference for opposite angles of incidence. The results obtained from a harmonic oscillator model show excellent agreement with numerical results. Moreover, our analytical model explicitly describes the contribution of radiation leakage and coupling to the angle-dependent absorption, enabling one to design a simple resonant structure demonstrating asymmetrical transmission.

show abstract

Transmission gaps and Fano resonances in an acoustic waveguide: analytical model

Cited by 85 publications

References 64 publications

Limits of slow sound propagation and transparency in lossy, locally resonant periodic structures

Limits of slow sound propagation and transparency in lossy, locally resonant periodic structures

One-Dimensional Phononic Crystals

Acoustic resonance coupling for directional wave control: from angle-dependent absorption to asymmetric transmission

Contact Info

Product

Resources

About