Ossikovski Razvigor, De Martino Antonello
J Opt Soc Am A Opt Image Sci Vis. 2015 Feb 1;32(2):343-8. doi: 10.1364/JOSAA.32.000343.
The different z-dependence and non-commutativity of the two components of the differential Mueller matrix of a homogeneous depolarizing medium prevent its formal identification with the Mueller matrix logarithm. By using a classic linear differential equation expansion, we advance a procedure for the extraction of the elementary polarization properties, in terms of mean values and variances-covariances, from the Mueller matrix logarithm. The approximate solution, based on the immediate identification of the differential matrix with the matrix logarithm, turns out to remain satisfactory up to relatively high depolarization levels. Physically interpreted experimental examples from the literature illustrate the formal developments.
均匀去极化介质的微分穆勒矩阵的两个分量具有不同的z相关性和非对易性，这使得它无法与穆勒矩阵对数进行形式上的识别。通过使用经典的线性微分方程展开，我们提出了一种从穆勒矩阵对数中提取基本偏振特性（以均值和方差-协方差表示）的方法。基于将微分矩阵直接识别为矩阵对数的近似解，在相对较高的去极化水平下仍然令人满意。文献中的物理解释实验示例说明了形式上的发展。
