Homogenization theory for designing graded viscoelastic sonic crystals*
Qu Zhao-Liang, Ren Chun-Yu, Pei Yong-Mao†, Fang Dai-Ning‡
       
Design of a graded VCS plate. Inset (a) shows the graded index medium plate, inset (b) shows an equivalent plate, and inset (c) shows a graded VSC plate. The graded VSC plate is composed of many rows of unit cells, and the filling fraction ( r/a ) of the unit cell in a single row becomes larger along the wave propagation direction ( x ). The solid line represents the graded index medium, and the solid squares denote the VSC.