Anisotropy of homogenized phononic crystals with anisotropic material

¹ State Key Laboratory of Applied Optics Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences - Changchun 130033, China
² Suzhou Institute of Biomedical Engineering and Technology, Chinese Academy of Sciences - Suzhou 215163, China
³ Graduate University of Chinese Academy of Sciences - Beijing 100039, China

^a yihuiwu@ciomp.ac.cn
^b lif@ciomp.ac.cn

Received: 13 March 2012
Accepted: 10 April 2012

Abstract

The anisotropy of elastic waves propagating in two-dimension phononic crystals with cubic crystal material was theoretically investigated in the long wavelength limit. The anisotropy can be tuned efficiently by either rotating the crystalline orientation of the material or changing the filling fraction. It can even disappear at a given orientation and filling fraction. The pure vibration mode direction and the pure propagation mode direction can be efficiently tuned to a desired direction deviating from the symmetric plane of the phononic crystal lattice. These results will be useful in manipulating the anisotropy of a homogenized composite and dealing with a PC with anisotropic material.