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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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Kuntman, E., Kuntman, M. A., Sancho‐Parramon, J., & Arteaga, O. (2017) · Physical Review A · doi:10.1103/physreva.95.063819 · Cited by 19
Pol-SAR Classification Based on Generalized Polar Decomposition of Mueller Matrix
Wang, H., Zhou, Z., Turnbull, J., Song, Q., & Qi, F. (2016) · IEEE Geoscience and Remote Sensing Letters · doi:10.1109/lgrs.2016.2525775 · Cited by 18
Arbitrary decomposition of a Mueller matrix
Gil, J. J., & José, I. S. (2019) · Optics Letters · doi:10.1364/ol.44.005715 · Cited by 18
Self-citationCentral-moment description of polarization for quantum states of light
Bjork, G. G., Söderholm, J., Kim, Y. S., Ra, Y.-S., Lim, H., Kothe, C., Kim, Y.-H., Sánchez-Soto, L. L., & Klimov, A. B. (2012) · Physical Review A · doi:10.1103/physreva.85.053835 · Cited by 18
Characterization of passivity in Mueller matrices
José, I. S., & Gil, J. J. (2020) · Journal of the Optical Society of America A · doi:10.1364/josaa.37.000199 · Cited by 18
Self-citationPolarization aberration in astronomical telescopes
Chipman, R. A., Lam, W.-S. T., & Breckinridge, J. B. (2015) · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · doi:10.1117/12.2188921 · Cited by 18
Quaternion algebra for Stokes–Mueller formalism
Kuntman, E., Kuntman, M. A., Canillas, A., & Arteaga, O. (2019) · Journal of the Optical Society of America A · doi:10.1364/josaa.36.000492 · Cited by 16
Development of an angle-scanning spectropolarimeter: Preliminary results
Nouri, S. A., Gregory, D. A., & Fuller, K. A. (2017) · Journal of Quantitative Spectroscopy and Radiative Transfer · doi:10.1016/j.jqsrt.2017.11.024 · Cited by 16
Gil, J. J. (2021) · Photonics · doi:10.3390/photonics8080315 · Cited by 16
Self-citationApplication of the arbitrary decomposition to finite spot size Mueller matrix measurements
Ossikovski, R., Garcia‐Caurel, E., Foldyna, M., & Gil, J. J. (2014) · Applied Optics · doi:10.1364/ao.53.006030 · Cited by 16
Self-citationThree-dimensional polarization algebra for all polarization sensitive optical systems
Li, Y., Fu, Y., Liu, Z., Zhou, J., Bryanston-Cross, P. J., Li, Y., & He, W. (2018) · Optics Express · doi:10.1364/oe.26.014109 · Cited by 16
Fisher information as a generalized measure of coherence in classical and quantum optics
Luis, A. (2012) · Optics Express · doi:10.1364/oe.20.024686 · Cited by 16
Development of a Mueller matrix imaging system for detecting objects embedded in turbid media
Carmagnola, F., Sanz, J. M., & Saiz, J. M. (2014) · Journal of Quantitative Spectroscopy and Radiative Transfer · doi:10.1016/j.jqsrt.2014.03.008 · Cited by 16
Expressions for parallel decomposition of the Mueller matrix
Sheppard, C. J. R., Castello, M., & Diaspro, A. (2016) · Journal of the Optical Society of America A · doi:10.1364/josaa.33.000741 · Cited by 16
Mueller-matrix characterization of biological tissues
Savenkov, S. N. (2011) · NATO science for peace and security series. C, Environmental security · doi:10.1007/978-94-007-1636-0_17 · Cited by 15
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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