Geometric interpretation of the 3-dimensional coherence matrix for nonparaxial polarization

Details Geometric interpretation of the 3-dimensional coherence matrix for nonparaxial polarization Geometric interpretation of the 3-dimensional coherence matrix for nonparaxial polarization

2003-09-02

arxiv.org/abs/physics/0309019v2

J. Opt. A: Pure Appl. Opt. 6 (2004) S26-S31

Physics

Optics

12 pages, 2 figures; revised

Scientific paper

10.1088/1464-4258/6/3/005

The 3-dimensional coherence matrix is interpreted by emphasising 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.

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