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

Geometric interpretation of the three-dimensional coherence matrix for nonparaxial polarization
Geometric interpretation of the three-dimensional coherence matrix for nonparaxial polarization
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.
1741-3567
S26-S31
Dennis, M.R.
ff55cf66-eb8b-4eb9-83eb-230c2f223d61
Dennis, M.R.
ff55cf66-eb8b-4eb9-83eb-230c2f223d61

Dennis, M.R. (2004) Geometric interpretation of the three-dimensional coherence matrix for nonparaxial polarization. Journal of Optics A: Pure and Applied Optics, 6 (3), S26-S31. (doi:10.1088/1464-4258/6/3/005).

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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.

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Published date: 2004

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Local EPrints ID: 29386
URI: https://eprints.soton.ac.uk/id/eprint/29386
ISSN: 1741-3567
PURE UUID: fb4d1eac-4b76-4132-9d25-06ac28dc5c2e

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Date deposited: 11 May 2006
Last modified: 17 Jul 2017 15:58

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Author: M.R. Dennis

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