Analytic propagation matrix method for linear optics of arbitrary biaxial layered media
Analytic propagation matrix method for linear optics of arbitrary biaxial layered media
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DOI：
10.1088/1464-4258/1/5/311
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发表时间：
1999-09
影响因子：
2.1
通讯作者：
I. Abdulhalim
中科院分区：
文献类型：
--
作者：
I. Abdulhalim
给出了一般均匀双轴层的4×4传输矩阵的解析简化形式。该表达式适用于任何线性均匀、吸收、双轴、回转、磁光、任意取向的各向异性结构。它的简单形式加快了非均匀各向异性介质光学性质的计算速度，并允许实时分析椭圆偏振实验数据。对于模式简并的情况，如某些角度的传播和各向同性的情况，还导出了传播矩阵的简化解析表达式。结果表明，用这种解析法计算传播矩阵所需的时间比直接用数值方法计算的时间短两倍。
We present an analytic simplified form for the 4 × 4 propagation matrix of a general homogeneous biaxial layer. The expression is applicable to any linear homogeneous, absorbing, biaxial, gyrotropic, magneto-optic, arbitrarily oriented anisotropic structure. Its simple form speeds up the calculation of the optical properties of inhomogeneous anisotropic media and allows real-time analysis of ellipsometric experimental data. A simplified analytic expression for the propagation matrix is also derived for the case of mode degeneration such as for propagation at certain angles and for the isotropic case. Using this analytic method it is found that the time required for calculating the propagation matrix is shorter by a factor of two than that using direct numerical calculation.