Influence of Point Defects on Band Gaps of Fe-Epoxy in Two-Dimensional Phononic Crystal

Abstract:

The band gap of a new two-dimensional phononic crystal was studied by the plane-wave expansion method. The two-dimensional phononic crystal is formed by square-shape array geometry of iron cylinders with square cross section inserted in an epoxy resin. The band gaps of different structures were calculated such as defect-free, single cavity crystal point defect states, crystal point defect states with (10) direction coupling, crystal point defect states with (10) direction next-nearest-neighbor coupling, and crystal point defect states with (11) direction next-nearest-neighbor coupling. Compared with that of defect-free, it is conclude that point defect is beneficial to the production of band gaps. The bandwidth of point defect is about 5 times larger than that of the defect-free crystal with the filling fraction F=0.4. In addition, the maximum number of band gap is in the crystal point defect states with (10) direction next-nearest-neighbor coupling. It will provide a theoretical reference for the manufacture of phononic crystal.

• Periodical: Advanced Materials Research (Volumes 652-654)
• Pages: 1377-1382
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.652-654.1377
• Online since: January 2013
• Authors: Jiao He, Guang Hui Fan, De Xun Zhao, Ying Kai Liu
• Keywords: Band Width, Number of Band Gap, Phononic Crystal, Point Defect

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