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Large two-dimensional sonic band gaps

D. Caballero, J. Sánchez-Dehesa, C. Rubio, R. Mártinez-Sala, J. V. Sánchez-Pérez, F. Meseguer, and J. Llinares
Phys. Rev. E 60, R6316(R) – Published 1 December 1999
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Abstract

We show that absolute sonic band gaps produced by two-dimensional square and triangular lattices of rigid cylinders in air can be increased by reducing the structure symmetry. In the case of square lattices, symmetry reduction is achieved by a smaller diameter cylinder placed at the center of each unit cell. For triangular lattices the reduction is achieved by decreasing the diameter of the cylinder at the center of the hexagons in the lattice. Theoretical predictions are also demonstrated experimentally: starting from a honeycomb lattice (using cylinders of 4 cm of diameter size and 6.35 cm nearest-neighbor distance) we have studied the transition to a triangular symmetry by putting rods with increasing diameter (in the range 0.6–4 cm) at the center. The greatest enhancement of the attenuation strength observed in transmission experiments has been obtained in the high frequency region for diameter ratios in the range 0.1–0.3.

  • Received 9 February 1999

DOI:https://doi.org/10.1103/PhysRevE.60.R6316

©1999 American Physical Society

Authors & Affiliations

D. Caballero1, J. Sánchez-Dehesa1,*, C. Rubio2, R. Mártinez-Sala2, J. V. Sánchez-Pérez2, F. Meseguer2,3,*, and J. Llinares2

  • 1Departamento de Física Teórica de la Materia Condensada, Facultad de Ciencias (C-5), Universidad Autónoma de Madrid, E-28049 Madrid, Spain
  • 2Unidad Asociada CSIC-UPV, Departamento de Física Aplicada, Universidad Politécnica de Valencia, Camino de Vera s/n. E-46022 Valencia, Spain
  • 3Instituto de Ciencia de Materiales, Consejo Superior de Investigaciones Científicas, Campus de Cantoblanco, E-28049 Madrid, Spain

  • *Authors to whom correspondence should be addressed. Electronic addresses: jsdehesa@uamca3.fmc.uam.es, fmese@fis.upv.es

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Vol. 60, Iss. 6 — December 1999

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