Interpretation of three-dimensional polarization states through the smart decomposition of the polarization matrix
A complete description of a three-dimensional (3D) polarization state is provided by the two most significant eigenstates of the polarization matrix, together with the two indices of polarimetric purity. By means of the so-called smart decomposition, such information can be arranged to represent the...
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EDP Sciences
2025-01-01
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| Series: | Journal of the European Optical Society-Rapid Publications |
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| Online Access: | https://jeos.edpsciences.org/articles/jeos/full_html/2025/01/jeos20250030/jeos20250030.html |
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| author | Gil José J. Norrman Andreas Friberg Ari T. Setälä Tero |
| author_facet | Gil José J. Norrman Andreas Friberg Ari T. Setälä Tero |
| author_sort | Gil José J. |
| collection | DOAJ |
| description | A complete description of a three-dimensional (3D) polarization state is provided by the two most significant eigenstates of the polarization matrix, together with the two indices of polarimetric purity. By means of the so-called smart decomposition, such information can be arranged to represent the state as a combination of two components, one partially polarized (active component) and one unpolarized. Contrary to what happens for two-dimensional (2D) polarization states (with the electric field fluctuating within a fixed plane), whose active component is constituted by a single totally polarized state, in the general case of 3D polarization states the active component is given by a weighted incoherent composition of the two above-mentioned eigenstates. We show that a detailed description of the intensity and spin anisotropies is encompassed by the active component of the state, which admits a simple interpretation and geometric representation. In addition, it is found that the degree of nonregularity can be viewed as a distance of the state to a regular state. |
| format | Article |
| id | doaj-art-9bc292b5dd0c4656afe39b8b7b16c3a9 |
| institution | Kabale University |
| issn | 1990-2573 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | Journal of the European Optical Society-Rapid Publications |
| spelling | doaj-art-9bc292b5dd0c4656afe39b8b7b16c3a92025-08-20T03:31:24ZengEDP SciencesJournal of the European Optical Society-Rapid Publications1990-25732025-01-012112910.1051/jeos/2025024jeos20250030Interpretation of three-dimensional polarization states through the smart decomposition of the polarization matrixGil José J.0https://orcid.org/0000-0003-1740-2244Norrman Andreas1https://orcid.org/0000-0002-1428-5225Friberg Ari T.2Setälä Tero3Group of Photonic Technologies, University of ZaragozaCenter for Photonics Sciences, University of Eastern FinlandCenter for Photonics Sciences, University of Eastern FinlandCenter for Photonics Sciences, University of Eastern FinlandA complete description of a three-dimensional (3D) polarization state is provided by the two most significant eigenstates of the polarization matrix, together with the two indices of polarimetric purity. By means of the so-called smart decomposition, such information can be arranged to represent the state as a combination of two components, one partially polarized (active component) and one unpolarized. Contrary to what happens for two-dimensional (2D) polarization states (with the electric field fluctuating within a fixed plane), whose active component is constituted by a single totally polarized state, in the general case of 3D polarization states the active component is given by a weighted incoherent composition of the two above-mentioned eigenstates. We show that a detailed description of the intensity and spin anisotropies is encompassed by the active component of the state, which admits a simple interpretation and geometric representation. In addition, it is found that the degree of nonregularity can be viewed as a distance of the state to a regular state.https://jeos.edpsciences.org/articles/jeos/full_html/2025/01/jeos20250030/jeos20250030.htmlpolarizationnonparaxial lightsmart decompositionnonregular polarization states |
| spellingShingle | Gil José J. Norrman Andreas Friberg Ari T. Setälä Tero Interpretation of three-dimensional polarization states through the smart decomposition of the polarization matrix Journal of the European Optical Society-Rapid Publications polarization nonparaxial light smart decomposition nonregular polarization states |
| title | Interpretation of three-dimensional polarization states through the smart decomposition of the polarization matrix |
| title_full | Interpretation of three-dimensional polarization states through the smart decomposition of the polarization matrix |
| title_fullStr | Interpretation of three-dimensional polarization states through the smart decomposition of the polarization matrix |
| title_full_unstemmed | Interpretation of three-dimensional polarization states through the smart decomposition of the polarization matrix |
| title_short | Interpretation of three-dimensional polarization states through the smart decomposition of the polarization matrix |
| title_sort | interpretation of three dimensional polarization states through the smart decomposition of the polarization matrix |
| topic | polarization nonparaxial light smart decomposition nonregular polarization states |
| url | https://jeos.edpsciences.org/articles/jeos/full_html/2025/01/jeos20250030/jeos20250030.html |
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