Opening a band gap in the free phononic crystal thin plate with or without a mirror plane

  • Hou Z
  • Assouar B
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Abstract

The mechanism of opening a band gap in the free phononic crystal (PC) thin plate with or without a
mirror plane is investigated. It is found that, in a PC plate with a mirror plane, the permitted
modes can be separated into symmetric and antisymmetric modes, and the band gap in such a system can
be opened by the interaction between the modes of the same kind and/or the breaking of the
degeneracy of the mode at the edge of the Brillouin zone. However, for a PC plate without a mirror
plane, mode separation can no longer be performed, and interaction can occur between any two
permitted modes. As a result, a new kind of band gap can be opened.

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Authors

  • Zhilin Hou

  • Badreddine M. Assouar

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