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Polarimetric characterization of light and media: Physical quantities involved in polarimetric phenomena
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An objective analysis is carried out of the matricial models representing the polarimetric properties of light and material media leading to the identification and definition of their corresponding physical quantities, using the concept of the coherency matrix. For light, cases of homogeneous and inhomogeneous wavefront are analyzed, and a model for 3D polarimetric purity is constructed. For linear passive material media, a general model is developed on the basis that any physically realizable linear transformation of Stokes vectors is equivalent to an ensemble average of passive, deterministic nondepolarizing transformations. Through this framework, the relevant physical quantities, including indices of polarimetric purity, are identified and decoupled. Some decompositions of the whole system into a set of well-defined components are considered, as well as techniques for isolating the unknown components by means of new procedures for subtracting coherency matrices. These results and methods constitute a powerful tool for analyzing and exploiting experimental and industrial polarimetry. Some particular application examples are indicated.
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“Obviously, this situation is not general because the electric field of the electromagnetic wave evolves in the real three-dimensional (3D) space and therefore a general mathematical description of the states of polarization requires a 3D treatment [1,2].”
From Polarimetric purity and the concept of degree of polarization (2018) · cites this paper as [2]
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“It is worth noting that the mathematical definition of P 3D is, in fact, the 3D analog of the degree of polarimetric purity, P 4D, for the 4 × 4 Mueller matrices (depolarization index [20]) representing the transformation of polarization states by the action of a material medium [2].”
From Polarimetric purity and the concept of degree of polarization (2018) · cites this paper as [2]
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“The fact that the inequality P 3D ⩾ 1 / 2 holds for 2D states [2,8,32] is nothing else than a natural consequence of the fact that they are characterized by Pd = 1.”
From Polarimetric purity and the concept of degree of polarization (2018) · cites this paper as [2]
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“was introduced for the first time by Samson [13], and was also obtained later by Barakat [14] and by Gil [2] as the quadratic average of the relative differences between the eigenvalues of R”
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“among the different possible representations of R as compositions of mutually incoherent states, a privileged view of the structure of polarimetric purity of R is given by its characteristic (or trivial ) decomposition [2,10,18],”
From Polarimetric purity and the concept of degree of polarization (2018) · cites this paper as [2]
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Ren, L., Liang, J., Qu, E., Bai, Z., & Ju, H. (2019) · International Symposium on Advanced Optical Manufacturing and Testing Technologies (AOMATT) · doi:10.1117/12.2506569 · Cited by 3
Biological Imaging Through Optical Mueller Matrix Scanning Microscopy
Gratiet, A. L., Sheppard, C. J. R., & Diaspro, A. (2023) · Biological and medical physics, biomedical engineering · doi:10.1007/978-3-031-31852-8_5 · Cited by 2
Mueller matrix maps of dichroic filters reveal polarization aberrations
Heath, J., Kupinski, M. K., Douglas, E. S., Hart, K. A., & Breckinridge, J. B. (2020) · CaltechAUTHORS (California Institute of Technology) · Cited by 3
Zakeri, A., Baygi, M. H. M., & Madanipour, K. (2013) · Applied Optics · doi:10.1364/ao.52.007859 · Cited by 3
Polarization aberrations induced by graded multilayer coatings in EUV lithography scanners
Jota, T. S., & Chipman, R. A. (2016) · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · doi:10.1117/12.2218918 · Cited by 3
Invariant quantities of a nondepolarizing Mueller matrix
Gil, J. J., & José, I. S. (2016) · Journal of the Optical Society of America A · doi:10.1364/josaa.33.001307 · Cited by 3
Self-citationPropagation of orbitalization metrics in vacuum
Pokharel, S., & Korotkova, O. (2026) · Optics Communications · doi:10.1016/j.optcom.2026.133087 · Cited by 2
Electromagnetic polarization matrix and its physical interpretation
Gil, J. J., Norrman, A., Friberg, A. T., Fazlpour, B., & Setälä, T. (2026) · Physical Review A · doi:10.1103/rxlq-dqjf · Cited by 2
Self-citationOptical balanced detection in heterodyne interferometric ellipsometry
Lang, K.-C., & Teng, H.-K. (2015) · Applied Optics · doi:10.1364/ao.54.008108 · Cited by 2
Gil, J. J., Norrman, A., Friberg, A. T., & Setälä, T. (2025) · Journal of the European Optical Society Rapid Publications · doi:10.1051/jeos/2025024 · Cited by 2
Self-citationGil, J. J. (2025) · Journal of the Optical Society of America A · doi:10.1364/josaa.568594 · Cited by 2
Self-citation
Metadata
- Authors
- Gil, J. J.
- Affiliations
- Universidad de Zaragoza (ES)
- Corresponding author
- Gil, J. J.
- ORCID
- Gil, J. J.
- Venue
- The European Physical Journal Applied Physics
- Publisher
- EDP Sciences
- Published
- 2007-10
- Volume
- 40
- Issue
- 1
- Pages
- 1-47
- ISSN
- 1286-0042 (ISSN-L)
- 1286-0050
- OpenAlex
- W2124319519
- Cited by
- 272
- References
- 268
- Citations by year
- 2026: 13 · 2025: 12 · 2024: 9 · 2023: 9 · 2022: 15 · 2021: 13 · 2020: 13 · 2019: 21 · 2018: 22 · 2017: 9 · 2016: 31 · 2015: 21 · 2014: 17 · 2013: 10 · 2012: 15
- FWCI
- 7.41
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- The European Physical Journal Applied Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Springer Link (Chiba Institute of Technology) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Optical Polarization and Ellipsometry
- Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Metamaterials and Metasurfaces Applications
- Physical Sciences › Earth and Planetary Sciences › Geophysics › Synthetic Aperture Radar (SAR) Applications and Techniques
- Keywords
- polarimetry, coherency matrix, Stokes vector, passive media, matrix factorization
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