Partial polarization of optical beams and near fields probed with a nanoscatterer
Abstract
We consider theoretically the detection of the spectral polarization characteristics of random, partially polarized optical beams and near fields by probing them with a dipolar nanoparticle. We show that measuring the polarization state of the scattered far field with a conventional waveplate-polarizer setup, possibly in several directions, results in the full 3×3 polarization matrix at the probe site. This allows us to deduce the distributions of the degree of polarization of the field and the Stokes parameters of the polarized part of the field with a resolution limited by the probe size. Regarding random near fields we show that, in analogy with a known result on beam fields, a degree of polarization of three-component light fields put forward in recent literature can in some cases be interpreted as a ratio of the intensity in the polarized part of the light to that of the total field. We demonstrate the technique by considering the probing of a Gaussian-Schell model beam and a thermally excited near field. The method extends the current scanning-probe techniques to the detection of partial polarization of random light fields and can find applications in nanophotonics and polarization optics.
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?
The polarization matrix of any 3D field can straightforwardly be measured by using nanoprobe scatterers, enabling an experimental determination of the concepts presented.
“The polarization matrix of any 3D field can straightforwardly be measured by using nanoprobe scatterers [34,35] enabling an experimental determination of the concepts presented in this work.”
From Polarimetric purity and the concept of degree of polarization (2018) · cites this paper as [35]
Cites
Longitudinal Field Modes Probed by Single Molecules
Novotný, L., Beversluis, M. R., Youngworth, K. S., et al. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.5251 · Cited by 757 · see citing works
Thermal radiation scanning tunnelling microscopy
Wilde, Y. D., Formanek, F., Carminati, R., et al. (2006) · Nature · doi:10.1038/nature05265 · Cited by 522 · see citing works
Radiative and non-radiative decay of a single molecule close to a metallic nanoparticle
Carminati, R., Greffet, J., Henkel, C., et al. (2005) · Optics Communications · doi:10.1016/j.optcom.2005.12.009 · Cited by 444 · see citing works
Definition and measurement of the local density of electromagnetic states close to an interface
Joulain, K., Carminati, R., Mulet, J., et al. (2003) · Physical review. B, Condensed matter · doi:10.1103/physrevb.68.245405 · Cited by 419 · see citing works
Near-Field Effects in Spatial Coherence of Thermal Sources
Carminati, R., & Greffet, J. (1999) · Physical Review Letters · doi:10.1103/physrevlett.82.1660 · Cited by 362 · see citing works
Experimental Observation of Localized Optical Excitations in Random Metal-Dielectric Films
Grésillon, S., Aigouy, L., Boccara, C., et al. (1999) · Physical Review Letters · doi:10.1103/physrevlett.82.4520 · Cited by 353 · see citing works
Image formation in near-field optics
Greffet, J., & Carminati, R. (1997) · Progress in Surface Science · doi:10.1016/s0079-6816(98)00004-5 · Cited by 351 · see citing works
Near-Field Spectral Effects due to Electromagnetic Surface Excitations
Shchegrov, A. V., Joulain, K., Carminati, R., et al. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.1548 · Cited by 348 · 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
Self-citationA single gold particle as a probe for apertureless scanning near‐field optical microscopy
Kalkbrenner, T., Ramstein, M., Mlynek, J., et al. (2001) · Journal of Microscopy · doi:10.1046/j.1365-2818.2001.00817.x · Cited by 273 · 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
Self-citationParameters 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 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
Single-Nanoparticle-Terminated Tips for Scanning Probe Microscopy
Vakarelski, I. U., & Higashitani, K. (2006) · Langmuir · doi:10.1021/la0528145 · Cited by 97 · see citing works
Spatial Correlations in the Near Field of Random Media
Apostol, A., & Dogariu, A. C. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.093901 · Cited by 91 · see citing works
Local polarization of tightly focused unpolarized light
Lindfors, K., Priimägi, A., Setälä, T., Shevchenko, A., Friberg, A. T., & Kaivola, M. (2007) · Nature Photonics · doi:10.1038/nphoton.2007.30 · Cited by 91 · see citing works
Self-citationPolarization effects in apertureless scanning near-field optical microscopy:?an experimental study
Aigouy, L., Lahrech, A. C., Grésillon, S., et al. (1999) · Optics Letters · doi:10.1364/ol.24.000187 · Cited by 82 · see citing works
Evanescent light scattering: The validity of the dipole approximation
Chaumet, P. C., Rahmani, A., de Fornel, F., et al. (1998) · Physical review. B, Condensed matter · doi:10.1103/physrevb.58.2310 · Cited by 60 · see citing works
Near-Field Short Range Correlation in Optical Waves Transmitted through Random Media
Emiliani, V., Intonti, F., Cazayous, M., Wiersma, D. S., Colocci, M., Aliev, F. M., & Lagendijk, A. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.250801 · Cited by 53 · see citing works
Madrazo, A., Carminati, R., Nieto‐Vesperinas, M., et al. (1998) · Journal of the Optical Society of America A · doi:10.1364/josaa.15.000109 · Cited by 37 · see citing works
Partial polarization theory of pulsed optical beams
Voipio, T., Setälä, T., & Friberg, A. T. (2012) · Journal of the Optical Society of America A · doi:10.1364/josaa.30.000071 · Cited by 32 · see citing works
Self-citationGreffet, J., & Henkel, C. (2007) · Contemporary Physics · doi:10.1080/00107510701690380 · Cited by 30 · see citing works
Measuring three-dimensional polarization with scanning optical probes
Dändliker, R., Tortora, P., Vaccaro, L., & Nesci, A. (2004) · Journal of Optics A Pure and Applied Optics · doi:10.1088/1464-4258/6/3/003 · Cited by 30 · see citing works
Polarization dependent near-field speckle of random gold films
Laverdant, J., Buil, S., Bérini, B., et al. (2008) · Physical Review B · doi:10.1103/physrevb.77.165406 · Cited by 29 · see citing works
Universality of electromagnetic-field correlations within homogeneous and isotropic sources
Setälä, T., Blomstedt, K., Kaivola, M., et al. (2003) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.67.026613 · Cited by 27 · see citing works
Self-citationAuñón, J. M., & Nieto‐Vesperinas, M. (2012) · Optics Letters · doi:10.1364/ol.38.000058 · Cited by 27 · see citing works
Geometric approach to the degree of polarization for arbitrary fields
Saastamoinen, T., & Tervo, J. (2004) · Journal of Modern Optics · doi:10.1080/09500340408232512 · Cited by 20 · see citing works
Near-field imaging of interacting nano objects with metal and metamaterial superlenses
Hakkarainen, T. W., Setälä, T., & Friberg, A. T. (2012) · New Journal of Physics · doi:10.1088/1367-2630/14/4/043019 · Cited by 3 · see citing works
Self-citation
Flagged first, then by citations
Cited by
Sorted by citations
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
Self-citation
- Authors
- Leppänen, L.-P., Friberg, A. T., & Setälä, T.
- Affiliations
- University of Eastern Finland (FI)
- Venue
- Journal of the Optical Society of America A
- Publisher
- Optica Publishing Group
- Published
- 2014-06-27
- Volume
- 31
- Issue
- 7
- Pages
- 1627
- ISSN
- 1084-7529 (ISSN-L)
- 1520-8532
- OpenAlex
- W2031944069
- Cited by
- 21
- References
- 28
- Citations by year
- 2025: 2 · 2023: 1 · 2022: 2 · 2021: 1 · 2020: 1 · 2018: 4 · 2017: 1 · 2016: 3 · 2015: 4 · 2014: 2
- FWCI
- 1.66
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of the Optical Society of America A (publishedVersion)
- PubMed (publishedVersion)
- Funders
- Itä-Suomen Yliopisto
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Orbital Angular Momentum in Optics
- Physical Sciences › Engineering › Biomedical Engineering › Near-Field Optical Microscopy
- Physical Sciences › Engineering › Biomedical Engineering › Optical Polarization and Ellipsometry
- Keywords
- partial polarization, degree of polarization, Stokes parameters, polarization matrix, near field, Gaussian-Schell model, scanning probe microscopy, polarization optics, nanophotonics
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