计算单轴旋光晶体光学性质的新矩阵:旋光Jones矩阵

New Matrix for the Optics in the Active Uniaxial Crystals: Active-Jones Matrix

根据Fresnel唯象旋光理论和Born旋光理论推导出了一个能快速方便地计算单轴旋光晶体光学性质的2×2矩阵———旋光Jones矩阵,与Berreman4×4矩阵(Born旋光模型)分层计算方法的结果相比,该结果是解析的,这就使得进一步研究其他光学性质变得很方便。详细介绍旋光Jones矩阵的建立过程,并以石英晶体为例,介绍运用该矩阵计算旋光晶体的光学性质的具体过程。该计算方法对于斜入射情况下的无旋光介质和各向同性旋光介质仍然适用。

Based on Fresnel and Born's theories of optical activity, a new 2×2 matrix is derived, which can calculate optical properties of the active uniaxial crystals at oblique incidence conveniently and quickly. Comparing the results to those of 4×4 Berremanmatrix formulation, the results of activeJones matrix formulation is algebraic, hence it's possible that we can further study the properties of the activity easily, and it is found the maximum discrepancy for quartz between them is generally less than 10-4. Apparently, in the nonoptically active medium or isotropic medium, activeJones matrix is still very useful to deal with the optical problems at oblique incidence.