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

By M.R. Dennis

Abstract

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

Topics: QA, QC
Year: 2004
OAI identifier: oai:eprints.soton.ac.uk:29386
Provided by: e-Prints Soton

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