Components of purity of a three-dimensional polarization state
Abstract
The degree of polarimetric purity of a three-dimensional (3D) polarization state is a measure of the closeness to a pure state and can be expressed as a weighted quadratic average of two indices of polarimetric purity, invariant with respect to unitary transformations and defined in terms of the relative weights of certain incoherent components of the state. An alternative view of the polarimetric purity is formulated in terms of three contributions, namely, the degree of directionality, the degree of linear polarization, and the degree of circular polarization. While the indices of polarimetric purity give complete information on the structure of randomness but are insensitive to other attributes of the state of polarization, the three components of purity are invariant under orthogonal transformations (rotations in the real space) and provide a meaningful framework for the representation of 3D polarization states in terms of quantities that are intrinsic for each given state.
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The three quantities Pl, Pc, and Pd represent complementary contributions to P3D.
“These three quantities represent complementary contributions to P 3D, which can be written as [30]”
From Polarimetric purity and the concept of degree of polarization (2018) · cites this paper as [30]
Cites
Degree of coherence for electromagnetic fields
Tervo, J., Setälä, T., & Friberg, A. T. (2003) · Optics Express · doi:10.1364/oe.11.001137 · Cited by 374 · 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-citationDescriptions 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
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
Invariant indices of polarimetric purity
San José, I., & Gil, J. J. (2011) · Optics Communications · doi:10.1016/j.optcom.2010.08.077 · Cited by 110 · see citing works
Self-citationDegree of polarization and the principal idempotents of the coherency matrix
Barakat, R. (1977) · Optics Communications · doi:10.1016/0030-4018(77)90292-9 · Cited by 109 · see citing works
Geometric interpretation of the three-dimensional coherence matrix for nonparaxial polarization
Dennis, M. R. (2004) · Journal of Optics A Pure and Applied Optics · doi:10.1088/1464-4258/6/3/005 · Cited by 94 · see citing works
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-citationGil, J. J., & San José, I. (2010) · Optics Communications · doi:10.1016/j.optcom.2010.04.090 · Cited by 46 · see citing works
Self-citationOn 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
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Gil, J. J. (2007) · The European Physical Journal Applied Physics · doi:10.1051/epjap:2007153 · Cited by 272 · 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-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
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- Authors
- Gil, J. J.
- Affiliations
- Universidad de Zaragoza (ES)
- Corresponding author
- Gil, José J.
- ORCID
- Gil, José J.
- Venue
- Journal of the Optical Society of America A
- Publisher
- Optica Publishing Group
- Published
- 2015-12-09
- Volume
- 33
- Issue
- 1
- Pages
- 40
- ISSN
- 1084-7529 (ISSN-L)
- 1520-8532
- OpenAlex
- W2292521792
- Cited by
- 35
- References
- 11
- Citations by year
- 2026: 2 · 2025: 6 · 2024: 2 · 2023: 4 · 2022: 1 · 2021: 4 · 2020: 2 · 2019: 5 · 2018: 3 · 2017: 2 · 2016: 3
- FWCI
- 1.33
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of the Optical Society of America A (publishedVersion)
- PubMed (publishedVersion)
- Funders
- Ministerio de Economía y Competitividad (MINECO) (FIS2011-22496, FIS2014-58303-P)
- Gobierno de Aragón (E-99)
- Topics
- Physical Sciences › Engineering › Biomedical Engineering › Optical Polarization and Ellipsometry
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Orbital Angular Momentum in Optics
- Physical Sciences › Chemistry › Spectroscopy › Molecular spectroscopy and chirality
- Keywords
- degree of linear polarization, degree of circular polarization, unitary invariance, orthogonal transformations
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