论文标题
各向异性光弹性晶体中的精确和线性折射率应力依赖性
Exact and linearized refractive index stress-dependence in anisotropic photoelastic crystals
论文作者
论文摘要
对于光弹性各向异性晶体的介电常数张量，我们获得了确切的非线性依赖性对凯奇应力张量的依赖性。我们获得了其平方根的相同结果，其主要成分（晶体主折射率）是对透明晶体的任何光弹性分析的起点。从这些确切的结果中，我们以总体的一般方式获得了在应力张量中的高阶项内的线性化表达式，用于介电常数张量及其平方根。我们结束了对于光学各向同性，单轴和双轴晶体的非线性和线性关系的一些恢复实例。
For the permittivity tensor of photoelastic anisotropic crystals we obtain the exact non-linear dependence on the Cauchy stress tensor. We obtain the same result for its square root whose principal components, the crystal principal refractive index, are the starting point for any photoelastic analysis of transparent crystals. From these exact results then we obtain, in a total general manner, the linearized expressions to within higher-order terms in the stress tensor for both the permittivity tensor and its square root. We finish by showing some relavant examples of both non-linear and linearized relations for optically isotropic, uniaxial and biaxial crystals.
