Equivalence relations and symmetries for laboratory, LIDAR, and planetary Müeller matrix scattering geometries.
Equivalence relations and symmetries for laboratory, LIDAR, and planetary Müeller matrix scattering geometries.
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DOI：
10.1364/josaa.31.002789
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发表时间：
2014-12
期刊：
影响因子：
--
通讯作者：
A. Brown
中科院分区：
文献类型：
--
作者：
A. Brown
物质的光学观测的对称关系通常分为几种常见的散射几何。“行星”配置是首选的观测者的外星行星，“实验室”的观察是在生物医学研究领域进行的，和激光雷达配置是首选的那些使用激光探测光学特性的水平表面与镜面或轴对称。本文从斯托克斯矩阵形式主义开始，并使用缪勒矩阵散射的对称性来建立每个几何配置的数学对称性之间的联系。最后，我们通过识别和纠正文献中旋转散射矩阵的一个有影响的误用来完成本文。修正后的方程在激光雷达散射过程的模型中有着广泛的应用。
Symmetry relationships for optical observations of matter generally fall into several common scattering geometries. The "planetary" configuration is preferred by observers of extraterrestrial planets, "laboratory" observations are performed in the biomedical research field, and the LIDAR configuration is preferred by those using lasers to probe optical properties of horizontal surfaces with mirror or axial symmetry. This paper begins with the Stokes matrix formalism and uses symmetries of Müller matrix scattering to establish links among the mathematical symmetries of each geometric configuration. We finish the paper by identifying and correcting an influential misapplication of rotational scattering matrices in the literature. The corrected equation should find wide application in models of the LIDAR scattering process.