Geometric interpretation of the three-dimensional coherence matrix for nonparaxial polarization
Geometric interpretation of the three-dimensional coherence matrix for nonparaxial polarization
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DOI：
10.1088/1464-4258/6/3/005
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发表时间：
2003-09
影响因子：
2.1
通讯作者：
Mark R. Dennis
中科院分区：
文献类型：
--
作者：
Mark R. Dennis
三维相干矩阵的解释强调其不变性相对于空间旋转。在这些变换下，它自然地分解成一个真实的对称正定矩阵，解释为系综（和相应的椭球）的惯性矩，和一个真实的轴向量，对应于系综的平均角动量。这个向量和张量相关的几个不等式，和解释相比，其中酉不变的相干矩阵进行了研究。
The three-dimensional coherence matrix is interpreted by emphasizing its invariance with respect to spatial rotations. Under these transformations, it naturally decomposes into a real symmetric positive definite matrix, interpreted as the moment of inertia of the ensemble (and the corresponding ellipsoid), and a real axial vector, corresponding to the mean angular momentum of the ensemble. This vector and tensor are related by several inequalities, and the interpretation is compared to those in which unitary invariants of the coherence matrix are studied.