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Dispersion properties of two-dimensional phonon crystals with a hexagonal structure

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Abstract

Acoustic and optical properties of two-dimensional phonon crystals with a hexagonal symmetry are described. Differential-difference equations describing plane oscillations of a two-dimensional lattice of material structures are derived in a harmonic approximation, and dispersion dependences of acoustic and optical phonons are calculated. Branches of optical oscillations and intervals of forbidden frequencies are shown to appear when a lattice consists of two types of atoms.

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Authors and Affiliations

  1. Nizhni Novgorod State Technical University, ul. Minina 24, Nizhni Novgorod, 603000, Russia

    S. P. Nikitenkova & A. I. Potapov

Authors
  1. S. P. Nikitenkova
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  2. A. I. Potapov
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Correspondence to S. P. Nikitenkova.

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Nikitenkova, S.P., Potapov, A.I. Dispersion properties of two-dimensional phonon crystals with a hexagonal structure. Acoust. Phys. 56, 909–918 (2010). https://doi.org/10.1134/S1063771010060151

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  • DOI: https://doi.org/10.1134/S1063771010060151

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