2004
DOI: 10.1063/1.1781351
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Acoustic imaging and collimating by slabs of sonic crystalsmade from arrays of rigid cylinders in air

Abstract: Articles you may be interested inThe direct problem of acoustic diffraction of an audible probe radiation by an air-saturated porous cylinder

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Cited by 52 publications
(27 citation statements)
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“…An approximately square constantfrequency surface for the case of bulk waves has been theoretically predicted for lattices of cylinders. [39][40][41][42] This square shape leads to regions of the constant-frequency surface in the x and y directions with low curvature. Wave vectors lying on these regions do not dephase during propagation through the crystal, resulting in nondivergent propagation, a phenomenon known as self-collimation that is analogous to phonon focusing in anisotropic homogeneous crystals.…”
Section: B Constant-frequency Surfacesmentioning
confidence: 99%
“…An approximately square constantfrequency surface for the case of bulk waves has been theoretically predicted for lattices of cylinders. [39][40][41][42] This square shape leads to regions of the constant-frequency surface in the x and y directions with low curvature. Wave vectors lying on these regions do not dephase during propagation through the crystal, resulting in nondivergent propagation, a phenomenon known as self-collimation that is analogous to phonon focusing in anisotropic homogeneous crystals.…”
Section: B Constant-frequency Surfacesmentioning
confidence: 99%
“…Moreover, we showed, for the first time, the multimode one-way states (Chern number ¼ AE2) in phononic systems, opening more avenues for the design of future topological waveguides and devices. While in this study we developed a comprehensive framework for the design and analysis of topological phononic crystals, we recently became aware of a parallel effort in which time-reversal symmetry breaking in a gyroscopic system has been theoretically analyzed and experimentally demonstrated [37].Finally, we note that phononic crystals [38,39] and acoustic metamaterials [40][41][42][43][44] that enable manipulation and control of elastic waves have received significant interest in recent years [23,45], not only because of their rich physics, but also for their broad range of applications [46][47][48][49][50][51][52][53][54][55][56][57][58]. Interestingly, the edge wave modes in phononic crystals are important in many scenarios [59][60][61][62] Lett.…”
mentioning
confidence: 99%
“…[12][13][14] Several useful applications have been suggested from these spectral (ω-space) and wave vector (k-space) properties, such as (1) materials to isolate vibrations, 15,16 (2) composites to guide acoustic and elastic waves [17][18][19][20][21] and (3) devices to focus/collimate phonons. [22][23][24] Similar functionalities have been demonstrated for semi-infinite systems. 25 and PC plates.…”
Section: Introductionmentioning
confidence: 68%