dorsal/arxiv
View SchemaGeometric interpretation of the 3-dimensional coherence matrix for nonparaxial polarization
| Authors | M. R. Dennis |
|---|---|
| Categories | |
| ArXiv ID | physics/0309019 |
| URL | https://arxiv.org/abs/physics/0309019 |
| DOI | 10.1088/1464-4258/6/3/005 |
| Journal | J. Opt. A: Pure Appl. Opt. 6 (2004) S26-S31 |
Abstract
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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"abstract": "The 3-dimensional coherence matrix is interpreted by emphasising its\ninvariance with respect to spatial rotations. Under these transformations, it\nnaturally decomposes into a real symmetric positive definite matrix,\ninterpreted as the moment of inertia of the ensemble (and the corresponding\nellipsoid), and a real axial vector, corresponding to the mean angular momentum\nof the ensemble. This vector and tensor are related by several inequalities,\nand the interpretation is compared to those in which unitary invariants of the\ncoherence matrix are studied.",
"arxiv_id": "physics/0309019",
"authors": [
"M. R. Dennis"
],
"categories": [
"physics.optics"
],
"doi": "10.1088/1464-4258/6/3/005",
"journal_ref": "J. Opt. A: Pure Appl. Opt. 6 (2004) S26-S31",
"title": "Geometric interpretation of the 3-dimensional coherence matrix for nonparaxial polarization",
"url": "https://arxiv.org/abs/physics/0309019"
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