Transmission properties of locally resonant sonic materials with finite slab thickness

Kin Hung Fung, Zhengyou Liu, Ting Chan Che

Research output: Journal article publicationJournal articleAcademic researchpeer-review

9 Citations (Scopus)


Using multiple-scattering theory, we studied the transmission properties of a slab of composite material that have sonic band gaps due to local resonances. Thin slabs of such material have transmission properties that are apparently different from conventional band gap material. For example, there can be transmission peaks in the frequency range inside the bulk sonic band gap. If the slab thickness is changed, we found that the top of band gap shifts while the bottom of band gap, being pinned by the resonance frequency, does not. By changing the slab thickness, the "effective band gap" may be narrowed or broadened, depending on the filling fraction of the locally resonant units. In order to provide an intuitive understanding of the phenomena, we constructed a simple model to understand the phenomena by comparing its transmission and band structure with that of the locally resonant sonic materials.
Original languageEnglish
Pages (from-to)871-876
Number of pages6
JournalZeitschrift fur Kristallographie
Issue number9-10
Publication statusPublished - 7 Sept 2005
Externally publishedYes


  • Local resonance
  • Mass spring system
  • Phonomic band gap
  • Phononic crystal
  • Sonic crystal
  • Sound attenuation

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Inorganic Chemistry


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