Lumped model for rotational modes in phononic crystals

Pai Peng, Jun Mei, and Ying Wu
Phys. Rev. B 86, 134304 – Published 16 October 2012

Abstract

We present a lumped model for the rotational modes induced by the rotational motion of individual scatterers in two-dimensional phononic crystals comprised of square arrays of solid cylindrical scatterers in solid hosts. The model provides a physical interpretation of the origin of the rotational modes, reveals the important role played by the rotational motion in determining the band structure, and reproduces the dispersion relations in a certain range. The model increases the possibilities of manipulating wave propagation in phononic crystals. In particular, expressions derived from the model for eigenfrequencies at high symmetry points unambiguously predict the presence of a new type of Dirac-like cone at the Brillouin center, which is found to be the result of accidental degeneracy of the rotational and dipolar modes.

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  • Received 22 July 2012

DOI:https://doi.org/10.1103/PhysRevB.86.134304

©2012 American Physical Society

Authors & Affiliations

Pai Peng1, Jun Mei2, and Ying Wu1,*

  • 1Division of Mathematical and Computer Sciences and Engineering, King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Saudi Arabia
  • 2Department of Physics, South China University of Technology, Guangzhou 510641, China

  • *ying.wu@kaust.edu.sa

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Issue

Vol. 86, Iss. 13 — 1 October 2012

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