Degree of polarization for three-dimensional fields as a distance between correlation matrices
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
P3D can be interpreted as a distance of R from a fully random 3D state represented by R_u-3D = I/3.
“This expression in terms of a metric of R highlights the interpretation of P 3D as a distance of R from a fully random 3D state (represented by R u -3D ≡ I / 3, I being the 3 × 3 identity matrix) [9].”
From Polarimetric purity and the concept of degree of polarization (2018) · cites this paper as [9]
Cites
Optical Coherence and Quantum Optics
Mandel, L., & Wolf, E. (1995) · doi:10.1017/cbo9781139644105 · Cited by 8,356 · see citing works
Optical Coherence and Quantum Optics
Mandeļ, L., Wolf, E., & Meystre, P. (1996) · American Journal of Physics · doi:10.1119/1.18450 · Cited by 2,412 · see citing works
(1998) · Cited by 445 · 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
Degree 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
Parameters characterizing electromagnetic wave polarization
Carozzi, T. D., Karlsson, R., & Bergman, J. (2000) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.61.2024 · Cited by 130 · 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
Self-citationDegree 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
Degree 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
Cross polarization in laser beams
Simon, R., Sudarshan, E. C. G., & Mukunda, N. (1987) · Applied Optics · doi:10.1364/ao.26.001589 · Cited by 68 · see citing works
Density Operator of Unpolarized Radiation
Prakash, H., & Chandra, N. (1971) · Physical Review A · doi:10.1103/physreva.4.796 · Cited by 67 · see citing works
On the state of unpolarized radiation
Agarwal, G. S. (1971) · Lettere al nuovo cimento della societa italiana di fisica/Lettere al nuovo cimento · doi:10.1007/bf02774060 · Cited by 50 · see citing works
Elliptic eigenstates for the quantum harmonic oscillator
Pollett, J., Méplan, O., & Gignoux, C. (1995) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/28/24/024 · Cited by 28 · see citing works
Polarization correlations in quantum optics
Luis, A. (2003) · Optics Communications · doi:10.1016/s0030-4018(02)02328-3 · Cited by 24 · see citing works
Self-citationQuantum 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
Self-citationGeometric approach to the degree of polarization for arbitrary fields
Saastamoinen, T., & Tervo, J. (2004) · Journal of Modern Optics · doi:10.1080/09500340408232512 · Cited by 20 · see citing works
Classical and quantum polarization correlations
Luis, A. (2004) · Physical Review A · doi:10.1103/physreva.69.023803 · Cited by 16 · see citing works
Self-citationSamson, J. C., & Olson, J. V. (1981) · SIAM Journal on Applied Mathematics · doi:10.1137/0140011 · Cited by 13 · see citing works
Geometric approach to the degree of polarization for arbitrary fields
Saastamoinen, T., & Tervo, J. (2004) · Journal of Modern Optics · doi:10.1080/09500340412331286649 · Cited by 6 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Gil, J. J. (2007) · The European Physical Journal Applied Physics · doi:10.1051/epjap:2007153 · Cited by 272 · 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
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
Structure 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
Gil, J. J., & San José, I. (2010) · Optics Communications · doi:10.1016/j.optcom.2010.04.090 · Cited by 46 · see citing works
Polarimetric 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
- Authors
- Luis, A.
- Affiliations
- Universidad Complutense de Madrid (ES)
- Corresponding author
- Luis, Alfredo
- ORCID
- Luis, Alfredo
- Venue
- Optics Communications
- Publisher
- Elsevier BV
- Published
- 2005-09
- Volume
- 253
- Issue
- 1-3
- Pages
- 10-14
- ISSN
- 0030-4018 (ISSN-L)
- OpenAlex
- W1987683484
- Cited by
- 71
- References
- 20
- Citations by year
- 2026: 3 · 2025: 3 · 2024: 1 · 2023: 4 · 2022: 3 · 2021: 1 · 2020: 4 · 2019: 2 · 2018: 3 · 2017: 3 · 2016: 3 · 2015: 6 · 2014: 3 · 2013: 5 · 2012: 3
- FWCI
- 3.22
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Optics Communications (publishedVersion)
- 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 › Physics and Astronomy › Acoustics and Ultrasonics › Random lasers and scattering media
- Keywords
- degree of polarization, polarization analysis
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review