The DOI matches its Crossref record; 33 of the 34 references it cites were found in a registry or an index.
Higher-Order Poincaré Sphere, Stokes Parameters, and the Angular Momentum of Light
Abstract
A higher-order Poincaré sphere and Stokes parameter representation of the higher-order states of polarization of vector vortex beams that includes radial and azimuthal polarized cylindrical vector beams is presented. The higher-order Poincaré sphere is constructed by naturally extending the Jones vector basis of plane wave polarization in terms of optical spin angular momentum to the total optical angular momentum that includes higher dimensional orbital angular momentum. The salient properties of this representation are illustrated by its ability to describe the higher-order modes of optical fiber waveguides, more exotic vector beams, and a higher-order Pancharatnam-Berry geometric phase.
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Born, M., Wolf, E., Bhatia, A. B., Clemmow, P. C., Gabor, D., Stokes, A. R., Taylor, A. M., Wayman, P. A., & Wilcock, W. L. (1999) · Cambridge University Press eBooks · doi:10.1017/9781108769914 · Cited by 26,627
Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light
Born, M., Wolf, E., Bhatia, A. B., Clemmow, P. C., Gabor, D., Stokes, A. R., Taylor, A. M., Wayman, P. A., & Wilcock, W. L. (1999) · doi:10.1017/cbo9781139644181 · Cited by 26,290
Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes
Allen, L., Beijersbergen, M. W., Spreeuw, R. J. C., & Woerdman, J. P. (1992) · Physical Review A · doi:10.1103/physreva.45.8185 · Cited by 10,455
Quantal phase factors accompanying adiabatic changes
Berry, M. V. (1984) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1984.0023 · Cited by 9,252
Greiner, W. (1998) · Classical theoretical physics · doi:10.1007/978-1-4612-0587-6 · Cited by 7,095
Snyder, A. W., & Love, J. D. (1984) · doi:10.1007/978-1-4613-2813-1 · Cited by 3,780
Classical Electrodynamics, 3rd ed .
Jackson, J. D., & Fox, R. F. (1999) · American Journal of Physics · doi:10.1119/1.19136 · Cited by 3,073
Cylindrical vector beams: from mathematical concepts to applications
Zhan, Q. (2009) · Advances in Optics and Photonics · doi:10.1364/aop.1.000001 · Cited by 2,977
Sharper Focus for a Radially Polarized Light Beam
Dorn, R., Quabis, S., & Leuchs, G. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.233901 · Cited by 2,129
Generalized theory of interference, and its applications: Part I. Coherent pencils
Pancharatnam, S. (1956) · Proceedings of the Indian Academy of Sciences - Section A · doi:10.1007/bf03046050 · Cited by 1,616
Mechanical Detection and Measurement of the Angular Momentum of Light
Beth, R. A. (1936) · Physical Review · doi:10.1103/physrev.50.115 · Cited by 1,354
Longitudinal Field Modes Probed by Single Molecules
Novotný, L., Beversluis, M. R., Youngworth, K. S., & Brown, T. G. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.5251 · Cited by 753
Chapter 5 Singular Optics: Optical Vortices and Polarization Singularities
Dennis, M. R., O'Holleran, K., & Padgett, M. J. (2009) · Progress in Optics · doi:10.1016/s0079-6638(08)00205-9 · Cited by 666
Tailoring of arbitrary optical vector beams
Maurer, C., Jesacher, A., Fürhapter, S., Bernet, S., & Ritsch‐Marte, M. (2007) · New Journal of Physics · doi:10.1088/1367-2630/9/3/078 · Cited by 604
Poynting, J. H. (1909) · Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character · doi:10.1098/rspa.1909.0060 · Cited by 592
Wang, X., Ding, J., Ni, W.-J., Guo, C.-S., & Wang, H. (2007) · Optics Letters · doi:10.1364/ol.32.003549 · Cited by 536
Beckley, A. M., Brown, T. G., & Alonso, M. A. (2010) · Optics Express · doi:10.1364/oe.18.010777 · Cited by 502
Polarization singularity indices in Gaussian laser beams
Freund, I. (2002) · Optics Communications · doi:10.1016/s0030-4018(01)01725-4 · Cited by 322
Optical orbital angular momentum from the curl of polarization
Wang, X., Chen, J., Li, Y., Ding, J., Guo, C.-S., & Wang, H. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.253602 · Cited by 263
Observation of topological phase by use of a laser interferometer
Bhandari, R., & Samuel, J. (1988) · Physical Review Letters · doi:10.1103/physrevlett.60.1211 · Cited by 234
Evolving Geometric Phase and Its Dynamical Manifestation as a Frequency Shift: An Optical Experiment
Simon, R., Kimble, H. J., & Sudarshan, E. C. G. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.19 · Cited by 228
Properties of circularly polarized vortex beams
Zhan, Q. (2006) · Optics Letters · doi:10.1364/ol.31.000867 · Cited by 208
Laser Acceleration of Relativistic Electrons Using the Inverse Cherenkov Effect
Kimura, W. D., Kim, G. H., Romea, R. D., STEINHAUER, L. C., Pogorelsky, I., Kusche, K., Fernow, R. C., Wang, X. J., & Liu, Y. (1995) · Physical Review Letters · doi:10.1103/physrevlett.74.546 · Cited by 191
Free-space azimuthal paraxial wave equation: the azimuthal Bessel–Gauss beam solution
Jordan, R. H., & Hall, D. G. (1994) · Optics Letters · doi:10.1364/ol.19.000427 · Cited by 159
Spatially engineered polarization states and optical vortices in uniaxial crystals
Desyatnikov, A. S., Fadeyeva, T. A., Shvedov, V. G., Izdebskaya, Y. V., Volyar, A. V., Brasselet, E., Neshev, D. N., Krolikowski, W. Z., & Kivshar, Y. S. (2010) · Optics Express · doi:10.1364/oe.18.010848 · Cited by 139
Théorie mathématique de la lumière
Poincaré, H. (1889) · Cited by 132
Three-Dimensional Polarization Control in Microscopy
Abouraddy, A. F., & Toussaint, K. C. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.153901 · Cited by 122
Polarization basis for vortex beams
Gori, F. (2001) · Journal of the Optical Society of America A · doi:10.1364/josaa.18.001612 · Cited by 116
Optical trapping with π-phase cylindrical vector beams
Roxworthy, B. J., & Toussaint, K. C. (2010) · New Journal of Physics · doi:10.1088/1367-2630/12/7/073012 · Cited by 111
Matrix formulation for the propagation of light beams with orbital and spin angular momenta
Allen, L., Courtial, J., & Padgett, M. J. (1999) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.60.7497 · Cited by 72
Pancharatnam, virtuoso of the Poincaré
Berry, M. (1994) · Bristol Research (University of Bristol) · Cited by 50
Distribution of singularities in the cosmic microwave background polarization
Dragan Huterer, A., & Vachaspati, T. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.72.043004 · Cited by 34
Backscattered polarization patterns, optical vortices, and the angular momentum of light
Schwartz, C., & Dogariu, A. (2006) · Optics Letters · doi:10.1364/ol.31.001121 · Cited by 34
Stokes polarimetry of a hybrid vector beam from a spun elliptical core optical fiber
Milione, G., Sztul, H. I., & Alfano, R. R. (2010) · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · doi:10.1117/12.841920 · Cited by 20
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Research works printed but not linked: 2
- G. Milione, 2010, Frontier in Optics/Laser Science OSA
- M. V. Berry, 1994, Curr. Sci., 67, 220
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Shen, Y., Wang, X., Xie, Z., Min, C., Fu, X., Liu, Q., Gong, M., & Yuan, X. (2019) · Light: Science & Applications · doi:10.1038/s41377-019-0194-2 · Cited by 2,219
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Rubinsztein-Dunlop, H. H., Forbes, A., Berry, M., Dennis, M. R., Andrews, D. L., Mansuripur, M., Denz, C., Alpmann, C., Banzer, P., Bauer, T. A., et al. (2016) · Journal of Optics · doi:10.1088/2040-8978/19/1/013001 · Cited by 1,349
Arbitrary spin-to–orbital angular momentum conversion of light
Devlin, R. C., Ambrosio, A., Rubin, N. A., Mueller, J. P. B., & Capasso, F. (2017) · Science · doi:10.1126/science.aao5392 · Cited by 1,292
Controlled generation of higher-order Poincaré sphere beams from a laser
Naidoo, D., Roux, F. S., Dudley, A. L., Litvin, I. A., Piccirillo, B., Marrucci, L., & Forbes, A. (2016) · Nature Photonics · doi:10.1038/nphoton.2016.37 · Cited by 715
Metadata
- Authors
- Milione, G., Sztul, H. I., Nolan, D. A., & Alfano, R. R.
- Affiliations
- City College of New York (US)
- Corning (United States) (US)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2011-07-25
- Volume
- 107
- Issue
- 5
- Pages
- 053601-053601
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2038629562
- Semantic Scholar
- 7f21d4e9b09557ab9a0802656db8d4d5718d41b6
- Cited by
- 930
- References
- 32
- Citations by year
- 2026: 93 · 2025: 97 · 2024: 104 · 2023: 88 · 2022: 86 · 2021: 68 · 2020: 66 · 2019: 80 · 2018: 46 · 2017: 47 · 2016: 38 · 2015: 45 · 2014: 37 · 2013: 19 · 2012: 15
- FWCI
- 11.10
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Orbital Angular Momentum in Optics
- 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
- Keywords
- higher-order Poincaré sphere, Stokes parameters, orbital angular momentum of light, spin angular momentum, vector vortex beams, radial and azimuthal polarization, cylindrical vector beams, Jones vector, Berry phase, fiber waveguides
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