Absolute band gaps and waveguiding in free standing and supported phononic crystal slabs

B. Djafari-Rouhani, J. O. Vasseur, A. C. Hladky-Hennion, Pierre A Deymier, F. Duval, B. Dubus, Y. Pennec

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

Using the finite element method (FEM), we investigate the existence of absolute band gaps and localized modes associated with a guide in thin films of phononic crystals. Two different structures based on two-dimensional (2D) phononic crystals are considered, namely a free standing plate and a plate deposited on a silicon substrate. The 2D phononic crystal is constituted by a square array of cylindrical holes drilled in an active piezoelectric PZT5A matrix. We demonstrate the existence of absolute band gap in the band structure of the phononic crystal plate and, then, the possibility of guided modes inside a linear defect created by removing one row of air holes. In the case of the supported plate, we show the existence of an absolute forbidden band in the plate modes when the thickness of the substrate significantly exceeds the plate thickness.

Original languageEnglish (US)
Pages (from-to)32-37
Number of pages6
JournalPhotonics and Nanostructures - Fundamentals and Applications
Volume6
Issue number1
DOIs
StatePublished - Apr 2008

Fingerprint

slabs
Energy gap
Crystals
crystals
Silicon
Substrates
Band structure
forbidden bands
Finite element method
Thin films
Defects
finite element method
Air
air
defects
silicon
matrices
thin films

Keywords

  • Absolute forbidden band
  • Phononic crystals
  • Plates
  • Waveguide

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Materials Science (miscellaneous)

Cite this

Absolute band gaps and waveguiding in free standing and supported phononic crystal slabs. / Djafari-Rouhani, B.; Vasseur, J. O.; Hladky-Hennion, A. C.; Deymier, Pierre A; Duval, F.; Dubus, B.; Pennec, Y.

In: Photonics and Nanostructures - Fundamentals and Applications, Vol. 6, No. 1, 04.2008, p. 32-37.

Research output: Contribution to journalArticle

Djafari-Rouhani, B. ; Vasseur, J. O. ; Hladky-Hennion, A. C. ; Deymier, Pierre A ; Duval, F. ; Dubus, B. ; Pennec, Y. / Absolute band gaps and waveguiding in free standing and supported phononic crystal slabs. In: Photonics and Nanostructures - Fundamentals and Applications. 2008 ; Vol. 6, No. 1. pp. 32-37.
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