高阶电光和电致伸缩张量的旋转不变性  

Invariance under Rotation of Higher Order Electro-optic and Electrostriction Tensors

作　　者：王红利[1] 江少林[2] 

机构地区：[1]华北水利水电学院数学与信息科学学院,郑州450011 [2]北京工业大学应用数理学院,北京100124

出　　处：《人工晶体学报》2010年第4期1082-1086,共5页Journal of Synthetic Crystals

摘　　要：根据群论原理,用Matlab语言编制了用于计算具有SO(2)群对称性的任意阶电光和电致伸缩系数张量的通用软件。利用该软件得到了具有SO(2)群对称性的三次和四次电光系数张量以及二阶和三阶电致伸缩系数张量的一般形式,并经坐标变换验证,这些张量形式确实具有围绕物理坐标系中z轴的任意旋转不变性。A software for getting various order electro-optic and electrostriction coefficient tensors which belong to the group SO（ 2） was programmed by means of Matlab,based on group theory. The general forms of third order and fourth order electro-optic coefficient tensors,as well as second order and third order electrostriction coefficient tensors,having the symmetry of the group SO（ 2） were got with the help of the software,and their invariance under arbitrary rotation about the z-axis in physical coordinate system was verified through transformation of coordinates.

关 键 词：高阶电光张量 高阶电致伸缩张量 旋转不变性 

分 类 号：O753[理学—晶体学]