Erratum: Theoretical analysis of the focusing of acoustic waves by two-dimensional sonic crystals [Phys. Rev. E<b>67</b>, 036603 (2003)]

Gupta, Bikash C.; Ye, Zhen

doi:10.1103/physreve.69.029906

Cited by 17 publications

(25 citation statements)

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“…Much effort has been devoted to reducing the impact of mismatched impedance. 6,8,9,11,15,20,[22][23][24][25][26][27][28][29] One way to do so is to utilize Fabry-Perot (FP) resonances, 6,8,15,20,22,29 which can increase the transmission energy because of the destructive interference between the multiple reflections of acoustic waves on the input and output surfaces of the acoustic lens. Because the resonant frequency of FP resonances is sensitive to the effective thickness of the acoustic lens, it may not be able to perfectly eliminate the reflection in real applications.…”

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confidence: 99%

High transmission acoustic focusing by impedance-matched acoustic meta-surfaces

Jahdali

2016

Applied Physics Letters

161

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confidence: 99%

High transmission acoustic focusing by impedance-matched acoustic meta-surfaces

Jahdali

2016

Applied Physics Letters

161

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“…1 However, in the range of low frequencies ͑homogenization limit͒ they behave like homogeneous media whose effective acoustic parameters, dynamical mass density, and bulk modulus, basically depend on the lattice filling fraction. [2][3][4] The homogenization properties of SCs have been employed to design refractive devices like, for example, acoustic lenses whose focusing properties are based on their external curved surfaces [5][6][7] or Fabry-Perot type acoustic interferometers. 8 Gradient index ͑GRIN͒ sonic lenses based on homogenized 2D SCs have been proposed.…”

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Sound focusing by gradient index sonic lenses

Climente

Torrent

Sánchez‐Dehesa

2010

Applied Physics Letters

190

141

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Gradient index sonic lenses based on two-dimensional sonic crystals are here designed, fabricated, and characterized. The index-gradient is achieved in these type of flat lenses by a gradual modification of the sonic crystal filling fraction along the direction perpendicular to the lens axis. The focusing performance is well described by an analytical model based on ray theory as well as by numerical simulations based on the multiple-scattering theory.

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“…The past decade has witnessed a rapid growth in the study of phononic crystals [1][2][3][4][5][6][7][8][9][10][11][12], which are periodic composite materials that are the elastic and acoustic analogues of photonic crystals [13][14][15][16][17][18][19][20][21]. This growing interest is fueled not only by potential applications as novel acoustic devices [7,8,10 -12], but also by the rich physics governing elastic and acoustic wave propagation in periodic media [1][2][3][4][5][6][7][8][9][10][11][12].…”

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Focusing of Sound in a 3D Phononic Crystal

et al. 2004

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We present a combined experimental and theoretical study of phonon focusing phenomena in a pass band above the complete band gap in a 3D phononic crystal. Wave propagation was found to depend dramatically on both frequency and incident direction. This propagation anisotropy leads to very large negative refraction, which can be used to focus a diverging ultrasonic beam into a narrow focal spot with a large focal depth. The experimental field patterns are well explained using a Fourier imaging technique, based on the 3D equifrequency surfaces calculated from multiple scattering theory. DOI: 10.1103/PhysRevLett.93.024301 PACS numbers: 43.35.+d, 63.20.-e The past decade has witnessed a rapid growth in the study of phononic crystals [1][2][3][4][5][6][7][8][9][10][11][12], which are periodic composite materials that are the elastic and acoustic analogues of photonic crystals [13][14][15][16][17][18][19][20][21]. This growing interest is fueled not only by potential applications as novel acoustic devices [7,8,10 -12], but also by the rich physics governing elastic and acoustic wave propagation in periodic media [1][2][3][4][5][6][7][8][9][10][11][12]. In addition, ultrasonic and acoustic techniques, coupled with powerful theoretical approaches, provide some unique advantages for directly investigating wave phenomena in these systems. Most of the studies until now have focused on the existence and properties of phononic band gaps [1-7,9], which occur due to Bragg scattering when the wavelength is comparable with the lattice constants, leading to frequency bands where wave propagation is forbidden. The result has been considerable progress in understanding how to achieve large complete band gaps in physically realizable materials, and in elucidating the mechanism of wave transport at gap frequencies, which has been shown to occur by tunneling [9].However, relatively little attention has been paid to investigating how periodicity affects wave propagation over a wide range of frequencies outside the band gaps, where novel refractive, diffractive, and focusing effects may all be possible. At low frequencies, an effective medium or continuum approximation can be adopted to study the wave properties and accurately predict the wave speeds. In this frequency range, there is much in common with the properties of low frequency phonons in atomic crystals, where phonon focusing phenomena have been systematically studied [22]. Recently, low frequency 2D sonic crystal refractive acoustic devices for airborne sound have been demonstrated [10] and theoretically analyzed [11] at wavelengths well below the first acoustic band gap. Also, a theory for tailoring sonic devices with dimensions on the order of several wavelengths has been investigated, where image formation was shown to occur predominantly through a diffraction mechanism rather than by refraction [12]. By contrast, much less is known about the behavior at higher frequencies in pass bands where the wavelengths can be much less than the lattice constant. In this Letter, we ...

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Erratum: Theoretical analysis of the focusing of acoustic waves by two-dimensional sonic crystals [Phys. Rev. E67, 036603 (2003)]

Cited by 17 publications

References 0 publications

High transmission acoustic focusing by impedance-matched acoustic meta-surfaces

High transmission acoustic focusing by impedance-matched acoustic meta-surfaces

Sound focusing by gradient index sonic lenses

Focusing of Sound in a 3D Phononic Crystal

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