Invariant indices of polarimetric purity
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In the case of 2D representation, P2D is precisely the conventional 2D degree of polarization.
“It should be stressed that, in the case of 2D representation, P 2D is precisely the conventional 2D degree of polarization [19].”
From Polarimetric purity and the concept of degree of polarization (2018) · cites this paper as [19]
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Cites
Mathematical Methods for Physicists
Arfken, G. B., & Mathews, J. (1972) · American Journal of Physics · doi:10.1119/1.1988084 · Cited by 4,069 · see citing works
Coherence properties of partially polarized electromagnetic radiation
Wolf, E. (1959) · Il Nuovo Cimento · doi:10.1007/bf02725127 · Cited by 305 · see citing works
Introduction to Statistical Optics
O’Neill, E. L., & Muldawer, L. (1964) · Physics Today · doi:10.1063/1.3051232 · Cited by 301 · see citing works
Degree of polarization for optical near fields
Setälä, T., Shevchenko, A., Kaivola, M., & Friberg, A. T. (2002) · Physical Review E · doi:10.1103/physreve.66.016615 · Cited by 287 · see citing works
Gil, J. J. (2007) · The European Physical Journal Applied Physics · doi:10.1051/epjap:2007153 · Cited by 272 · see citing works
Self-citationDepolarization and Polarization Indices of an Optical System
Gil, J. J., & Bernabeu, E. (1986) · Optica Acta: International Journal of Optics · doi:10.1080/713821924 · Cited by 251 · see citing works
Self-citationA Depolarization Criterion in Mueller Matrices
Gil, J. J., & Bernabéu, E. (1985) · Optica Acta International Journal of Optics · doi:10.1080/713821732 · Cited by 191 · see citing works
Self-citationA Stokes-Parameter Technique for the Treatment of Polarization in Quantum Mechanics
Fano, U. (1954) · Physical Review · doi:10.1103/physrev.93.121 · Cited by 164 · see citing works
Fundamentals of Polarized Light
Mishchenko, M. I. (2003) · NASA Technical Reports Server (NASA) · Cited by 150 · see citing works
Descriptions of the Polarization States of Vector Processes: Applications to ULF Magnetic Fields
Samson, J. C. (1973) · Geophysical Journal International · doi:10.1111/j.1365-246x.1973.tb02404.x · Cited by 150 · see citing works
Concept of polarization entropy in optical scattering
Cloude, S. R., & Pottier, E. (1995) · Optical Engineering · doi:10.1117/12.202062 · Cited by 140 · see citing works
Characteristic properties of Mueller matrices
Gil, J. J. (2000) · Journal of the Optical Society of America A · doi:10.1364/josaa.17.000328 · Cited by 139 · see citing works
Self-citationDegree of Polarization in Near Fields of Thermal Sources: Effects of Surface Waves
Setälä, T., Kaivola, M., & Friberg, A. T. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.123902 · Cited by 135 · see citing works
Roy-Brehonnet, F. L., & Jeune, B. L. (1997) · Progress in Quantum Electronics · doi:10.1016/s0079-6727(97)84687-3 · Cited by 125 · see citing works
Degree of polarization in quantum optics
Luis, A. (2002) · Physical Review A · doi:10.1103/physreva.66.013806 · Cited by 122 · see citing works
Degree of polarization of statistically stationary electromagnetic fields
Ellis, J., Dogariu, A. C., Ponomarenko, S. A., & Wolf, E. (2005) · Optics Communications · doi:10.1016/j.optcom.2004.12.050 · Cited by 120 · see citing works
A parametrization of bipartite systems based onSU(4) Euler angles
Tilma, T., Byrd, M., & Sudarshan, E. C. G. (2002) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/35/48/315 · Cited by 86 · see citing works
On the matrix formulation of the theory of partial polarization in terms of observables
Parrent, G. B., & Román, P. (1960) · Il Nuovo Cimento · doi:10.1007/bf02902573 · Cited by 82 · see citing works
Barakat, R. G. (1983) · Optica Acta International Journal of Optics · doi:10.1080/713821330 · Cited by 76 · see citing works
Degree of polarization for three-dimensional fields as a distance between correlation matrices
Luis, A. (2005) · Optics Communications · doi:10.1016/j.optcom.2005.04.046 · Cited by 71 · see citing works
Definitions of the degree of polarization of a light beam
Al-Qasimi, A., Korotkova, O., James, D. F. V., & Wolf, E. (2007) · Optics Letters · doi:10.1364/ol.32.001015 · Cited by 66 · see citing works
Physical Bounds to the Entropy-Depolarization Relation in Random Light Scattering
Aiello, A., & Woerdman, J. P. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.090406 · Cited by 61 · see citing works
Gil, J. J., & San José, I. (2010) · Optics Communications · doi:10.1016/j.optcom.2010.04.090 · Cited by 46 · see citing works
Self-citationA three-dimensional degree of polarization based on Rayleigh scattering
Dennis, M. R. (2007) · Journal of the Optical Society of America A · doi:10.1364/josaa.24.002065 · Cited by 46 · see citing works
Optical media and target characterization by Mueller matrix decomposition
Roy-Brehonnet, F. L., Jeune, B. L., Eliès, P., Cariou, J.-M., & Lotrian, J. (1996) · Journal of Physics D Applied Physics · doi:10.1088/0022-3727/29/1/007 · Cited by 37 · see citing works
Polarization entropy transfer and relative polarization entropy
Barakat, R. G. (1996) · Optics Communications · doi:10.1016/0030-4018(95)00586-2 · Cited by 33 · see citing works
On the degree of polarization of random electromagnetic fields
Ellis, J., & Dogariu, A. C. (2005) · Optics Communications · doi:10.1016/j.optcom.2005.05.020 · Cited by 33 · see citing works
GENERALIZED POLARIZATION ALGEBRA
Pérez, J., Dobato, J. M. C., Melero, P. A., & Dias‐Ferreira, C. (2003) · Dialnet (Universidad de la Rioja) · Cited by 28 · see citing works
Von Neumann entropy of N interacting pencils of radiation
Barakat, R. G., & Brosseau, C. (1993) · Journal of the Optical Society of America A · doi:10.1364/josaa.10.000529 · Cited by 26 · see citing works
Quantum polarization for three-dimensional fields via Stokes operators
Luis, A. (2005) · Physical Review A · doi:10.1103/physreva.71.023810 · Cited by 23 · see citing works
Expression of a Tensor Commutation Matrix in Terms of the Generalized Gell-Mann Matrices
Rakotonirina, C. (2007) · International Journal of Mathematics and Mathematical Sciences · doi:10.1155/2007/20672 · Cited by 21 · see citing works
Analysis of depolarizing optical targets by Mueller matrix formalism
Roy-Brehonnet, F. L., Jeune, B. L., Gerligand, P.-Y., Cariou, J.-M., & Lotrian, J. (1997) · Pure and Applied Optics Journal of the European Optical Society Part A · doi:10.1088/0963-9659/6/3/008 · Cited by 18 · see citing works
Invariant polarimetric contrast parameters of light with Gaussian fluctuations in three dimensions
Réfrégier, P., Roche, M., & Goudail, F. (2006) · Journal of the Optical Society of America A · doi:10.1364/josaa.23.000124 · Cited by 16 · see citing works
Isotropy and polarization in a statistically stationary electromagnetic field in three-dimensions
Hioe, F. T. (2006) · Journal of Modern Optics · doi:10.1080/09500340600590117 · Cited by 8 · see citing works
Definitions of the degree of polarization of a light beam
Al-Qasimi, A., James, D. F. V., Korotkova, O., & Wolf, E. (2007) · Frontiers in Optics · doi:10.1364/fio.2007.fthn2 · Cited by 4 · see citing works
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Research works printed but not linked: 1
- [29]29. R. A. Chipman, 'Polarimetry' in The Handbook of Optics Chap. 22 (McGraw-Hill, N. Y., 1994)
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Interpretation of the coherency matrix for three-dimensional polarization states
Gil, J. J. (2014) · Physical Review A · doi:10.1103/physreva.90.043858 · Cited by 59 · see citing works
Self-citationStructure of polarimetric purity of three-dimensional polarization states
Gil, J. J., Friberg, A. T., Setälä, T., & San José, I. (2017) · Physical Review A · doi:10.1103/physreva.95.053856 · Cited by 47 · see citing works
Self-citationGil, J. J., & San José, I. (2010) · Optics Communications · doi:10.1016/j.optcom.2010.04.090 · Cited by 46 · see citing works
Self-citationPolarimetric purity and the concept of degree of polarization
Gil, J. J., Norrman, A., Friberg, A. T., & Setälä, T. (2018) · Physical Review A · doi:10.1103/physreva.97.023838 · Cited by 36 · see citing works
Self-citationComponents of purity of a three-dimensional polarization state
Gil, J. J. (2016) · Journal of the Optical Society of America A · doi:10.1364/josaa.33.000040 · Cited by 35 · see citing works
Self-citation
- Authors
- San José, I., & Gil, J. J.
- Affiliations
- Universidad de Zaragoza (ES)
- Corresponding author
- Gil, José J.
- ORCID
- Gil, José J.
- Venue
- Optics Communications
- Publisher
- Elsevier BV
- Published
- 2011-01
- Volume
- 284
- Issue
- 1
- Pages
- 38-47
- ISSN
- 0030-4018 (ISSN-L)
- OpenAlex
- W1623066622
- Cited by
- 110
- References
- 35
- Citations by year
- 2026: 10 · 2025: 9 · 2024: 8 · 2023: 10 · 2022: 13 · 2021: 12 · 2020: 6 · 2019: 8 · 2018: 4 · 2017: 5 · 2016: 7 · 2015: 4 · 2014: 5 · 2013: 5 · 2012: 1
- FWCI
- 1.70
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Optics Communications (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Engineering › Biomedical Engineering › Optical Polarization and Ellipsometry
- Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Metamaterials and Metasurfaces Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Orbital Angular Momentum in Optics
- Keywords
- coherency matrix, eigenvalues, Gell-Mann matrices, positive semidefinite Hermitian matrices, optical polarization, material media
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