Complete band gap in a pillar-based piezoelectric phononic crystal slab

Abstract

In this paper we have shown that it is possible to obtain the complete phononic band gaps in a square lattice of pillar-based phononic crystal. Bigger phononic band gap width can be obtained by increasing the height of pillar and it filling fraction, f. It is shown that the gap-to-mid-gap ratio of pillar at h/a = 0.5 has increased by 21.2% when it height increased to 1.25 and the gap-to-mid-gap ratio has increased by 12% when the filling fraction is increased from r/a = 0.3 to 0.45. The study also shows bigger band gap width and higher central frequency can be obtained by increasing the filling fraction of pillar.