Sheppard Colin J R, Bendandi Artemi, Le Gratiet Aymeric, Diaspro Alberto
J Opt Soc Am A Opt Image Sci Vis. 2020 Mar 1;37(3):491-500. doi: 10.1364/JOSAA.379327.
The Sinclair and Kennaugh matrices are widely used in the remote sensing discipline for signals detected in the backward direction. The connections between the Jones matrix and the Sinclair matrix, and between the Mueller matrix and the Kennaugh matrix, are explored. Different operations on the Jones matrix and their corresponding effects on the Mueller matrix, coherency matrix, and coherence vector are derived. As an example, the Sinclair matrix leads to a Mueller-Sinclair matrix, and a transformed coherence vector. The Kennaugh matrix is not, however, a Mueller matrix, but can be determined from the Mueller or Mueller-Sinclair matrices. We consider backscattering through a medium on a perfect mirror. We propose that backscattering from a uniform medium can be modeled as an effective uniform medium situated on a perfectly reflective substrate, and the elementary polarization properties derived. In this way, the concept of a uniform polarizing medium can be extended to the reflectance geometry. An experimental Mueller matrix from the literature is considered as an example.
辛克莱矩阵和肯瑙矩阵在遥感学科中被广泛用于检测向后方向的信号。探讨了琼斯矩阵与辛克莱矩阵之间以及穆勒矩阵与肯瑙矩阵之间的联系。推导了对琼斯矩阵的不同运算及其对穆勒矩阵、相干矩阵和相干矢量的相应影响。例如，辛克莱矩阵会导出一个穆勒 - 辛克莱矩阵和一个变换后的相干矢量。然而，肯瑙矩阵不是穆勒矩阵，但可以从穆勒矩阵或穆勒 - 辛克莱矩阵确定。我们考虑通过完美镜面上的介质进行后向散射。我们提出，来自均匀介质的后向散射可以建模为位于完美反射基底上的有效均匀介质，并推导其基本偏振特性。通过这种方式，均匀偏振介质的概念可以扩展到反射几何形状。以文献中的一个实验穆勒矩阵为例进行了分析。
