二阶非线性弹光张量的旋转不变性  

Rotation Invariance of Second Order Nonlinear Elasto-optic Tensor

作　　者：王红利[1] 江少林[1] 

机构地区：[1]北京工业大学应用数理学院,北京100124

出　　处：《人工晶体学报》2009年第3期788-791,802,共5页Journal of Synthetic Crystals

摘　　要：基于群论原理,用Matlab语言编制了用于计算具有SO(2)群对称性的任意阶弹光系数张量的通用软件。在编程中,采用由非对称化的恒等表示基函数构造出具有弹光系数张量本征对称性的对称化恒等表示基函数的方法,以便于编制通用软件。利用该软件得到了具有SO(2)群对称性的二阶非线性应变和应力弹光系数张量的形式,并经坐标变换验证,该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 elasto-optic coefficient tensors which belong to the group SO （2） was programmed by means of Matlab, based on group theory. The symmetrized identity representation basis functions having the intrinsic symmetry of elasto-optic coefficient tensors were developed from nonsymmetrized identity representation basis functions, which convenienced programming. The form of second order nonlinear strain and stress elasto-optic coefficient tensors having the symmetry of the group SO（2） was got with the help of the software, and its invariance under arbitrary rotation about the Z-axis in physical coordinate system was verified through transformation of coordinates.

关 键 词：二阶弹光效应 张量 旋转不变性 

分 类 号：O753[理学—晶体学]