Theory of acoustic band structure of periodic elastic composites

Kushwaha, Manvir S.; Halevi, P.; Martínez, Gerardo; Dobrzyński, L.; Djafari‐Rouhani, Bahram

doi:10.1103/physrevb.49.2313

Cited by 767 publications

(365 citation statements)

References 55 publications

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“…Recent advancements in man-made materials ("metamaterials") have resulted in intriguing achievements in acoustic and phononic transport manipulation [1]. These discoveries include dynamic negative density and a bulk modulus [2][3][4][5][6][7][8], subwavelength imaging [9][10][11], acoustic and surface wave cloaking [12][13][14][15], a phononic band gap [16,17], extraordinary acoustic transmission [18,19], Anderson localization [20], and asymmetric transmission [21][22][23][24][25]. These works, so far, are based on the modulation of the real part of the acoustic parameters.…”

Section: Introductionmentioning

confidence: 99%

PT-Symmetric Acoustics

et al. 2014

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We introduce here the concept of acoustic parity-time (PT ) symmetry and demonstrate the extraordinary scattering characteristics of the acoustic PT medium. On the basis of exact calculations, we show how an acoustic PT -symmetric medium can become unidirectionally transparent at given frequencies. Combining such a PT -symmetric medium with transformation acoustics, we design two-dimensional symmetric acoustic cloaks that are unidirectionally invisible in a prescribed direction. Our results open new possibilities for designing functional acoustic devices with directional responses.

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Section: Introductionmentioning

confidence: 99%

PT-Symmetric Acoustics

et al. 2014

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“…So far, several authors have developed for such composites theories of acoustic band structure for bulk vibrations in an isotropic approximation with the wave vector perpendicular to the cylinder axis. [3][4][5] Acoustic waves are certainly more complicated than the electromagnetic waves due to the presence of longitudinal vibrations. Also, the presence of elastic anisotropy of both the host and cylinder materials should properly be taken into account.…”

Section: Introductionmentioning

confidence: 99%

Surface acoustic waves in two-dimensional periodic elastic structures

1998

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Acoustic waves localized at the surface of two-dimensional ͑2D͒ periodic elastic structures, or 2D phononic crystals, are studied theoretically by taking account of the elastic anisotropy of constituent materials. The surface considered is perpendicular to the axis of a periodic array of cylinders embedded in a background material. The dispersion relations of the surface modes are calculated for circular cylinders of AlAs which form a square lattice in a GaAs matrix. The folding and anisotropy of the surface wave branches, as well as the existence of pseudosurface waves, are found. The stop band distributions of the surface, pseudosurface, and bulk waves are plotted in a form relevant for comparison with ultrasound imaging experiments.

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“…By appropriate modulation of elastic properties in the constituent materials, forbidden frequency gaps ͑acoustic stop bands͒ extending throughout the Brillouin zone can also be realized. [3][4][5][6] A possible application of such phononic crystals is designing phonon filters or heat insulators, which selectively reflect phonons in desirable frequency ranges.…”

Section: Introductionmentioning

confidence: 99%

Band structure of acoustic waves in phononic lattices: Two-dimensional composites with large acoustic mismatch

2000

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The finite-difference time-domain method is applied to the calculation of dispersion relations of acoustic waves in two-dimensional ͑2D͒ phononic lattices, i.e., periodic solid-solid, solid-liquid, and solid-vacuum composites, for which the conventional plane-wave-expansion method fails or converges very slowly. Numerical examples are developed for 2D structures with polyethylene, mercury, and vacuum cylinders forming a square lattice in an aluminum matrix. The implication of the calculated dispersion relations for ultrasound transmission experiments is discussed.

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Theory of acoustic band structure of periodic elastic composites

Cited by 767 publications

References 55 publications

PT-Symmetric Acoustics

PT-Symmetric Acoustics

Surface acoustic waves in two-dimensional periodic elastic structures

Band structure of acoustic waves in phononic lattices: Two-dimensional composites with large acoustic mismatch

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