Issue |
J. Eur. Opt. Society-Rapid Publ.
Volume 18, Number 2, 2022
|
|
---|---|---|
Article Number | 12 | |
Number of page(s) | 4 | |
DOI | https://doi.org/10.1051/jeos/2022012 | |
Published online | 06 December 2022 |
Research Article
Singular value representation of the coherence Poincaré sphere
1
Institute of Photonics, University of Eastern Finland, P.O. Box 111, 80101 Joensuu, Finland
2
Department of Physics, University of Miami, Coral Gables, FL 33146, USA
* Corresponding author: jyrki.laatikainen@uef.fi
Received:
1
February
2022
Accepted:
7
November
2022
The so-called coherence Poincaré sphere was recently introduced for geometrical visualization of the state of two-point spatial coherence of a random electromagnetic beam. The formalism and its interpretation strongly utilized a specific decomposition of the Gram matrix of the cross-spectral density (CSD) matrix. In this work, we show that the interpretation of the coherence Poincaré sphere is obtained exclusively and straightforwardly via the singular value decomposition of the CSD matrix.
Key words: Electromagnetic beams / Optical coherence / Polarization
© The Author(s), published by EDP Sciences, 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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