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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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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
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 ›
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