Spin-to-orbital conversion of the angular momentum of light and its classical and quantum applications
Open accessAbstract
A few years ago the possibility of coupling and inter-converting the spin and orbital angular momentum (SAM and OAM) of paraxial light beams in inhomogeneous anisotropic media was demonstrated. An important case is provided by waveplates having a singular transverse pattern of the birefringent optical axis, with a topological singularity of charge q at the plate center, hence named ' q -plates'. The introduction of q -plates has given rise in recent years to a number of new results and to significant progress in the field of orbital angular momentum of light. Particularly promising are the quantum photonic applications, because the polarization control of OAM allows the transfer of quantum information from the SAM qubit space to an OAM subspace of a photon and vice versa. In this paper, we review the development of the q -plate idea and some of the most significant results that have originated from it, and we will briefly touch on many other related findings concerning the interaction of the SAM and OAM of light.
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The fundamental mechanisms underlying spin-dependent deformation of optical fields are geometric phases.
“Most importantly, the fundamental mechanisms underlying the spin-dependent deformation of optical fields are geometric phases (see Box 2).”
From Spin–orbit interactions of light (2015) · cites this paper as [6]
The Introduction (page unavailable) says that wavefront reshaping with Pancharatnam–Berry optical elements works by introducing a space-varying geometric phase through polarization manipulation. This supports geometric phase as a mechanism for spin-dependent field shaping, but the paper does not establish that geometric phases underlie all such deformation; it also describes spin-to-orbital conversion in terms of birefringence and medium inhomogeneity. (LLM, conf=0.78)
Experimental — accuracy not yet measuredFor a planar anisotropic element (transparent retarder with phase δ and anisotropy axis at angle α), the Jones-matrix transformation of wave polarization becomes (5), with off-diagonal elements originating from geometric phases induced by rotation of coordinates.
“Performing a rotation by the angle α to the laboratory coordinate frame and also writing this matrix in the helicity basis of right-hand and left-hand circular polarizations, the Jones-matrix transformation of the wave polarization becomes 5,6,37- 39,114”
From Spin–orbit interactions of light (2015) · cites this paper as [6]
Split into 2 atoms — 0 confirmed, 2 partially supported, 0 disputed, 0 misattributed, 0 unverifiable. Expand the claim to see per-atom verdicts.
Experimental — accuracy not yet measuredThe off-diagonal geometric-phase elements of Eq. (5) offer helicity-dependent manipulation of light using the orientation of the anisotropy axis; anisotropic subwavelength gratings with space-variant orientation have been employed for geometric-phase-induced shaping of light.
“The off-diagonal geometric-phase elements of Eq. (5) offer helicity-dependent manipulation of light using the orientation of the anisotropy axis. In particular, anisotropic subwavelength gratings with space-variant orientation α = α x , y ( ) have been employed for the geometric-phase-induced shaping of light 5,6,37- 39,41,114- 117 .”
From Spin–orbit interactions of light (2015) · cites this paper as [6]
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Piccirillo, B., & Santamato, E. (2004) · Physical Review E · doi:10.1103/physreve.69.056613 · Cited by 27 · see citing works
Self-citationThe quest for higher dimensionality
Straupe, S. S., & Kulik, S. P. (2010) · Nature Photonics · doi:10.1038/nphoton.2010.215 · Cited by 26 · see citing works
Quantum walk with a four-dimensional coin
Hamilton, C. S., Gábris, A., Jex, I., & Barnett, S. M. (2011) · New Journal of Physics · doi:10.1088/1367-2630/13/1/013015 · Cited by 26 · see citing works
Chen, L., & She, W. (2008) · Optics Letters · doi:10.1364/ol.33.000696 · Cited by 26 · see citing works
Chen, L., & She, W. (2009) · Optics Letters · doi:10.1364/ol.34.001855 · Cited by 23 · see citing works
Slussarenko, S., Karimi, E., Piccirillo, B., Marrucci, L., & Santamato, E. (2010) · Journal of the Optical Society of America A · doi:10.1364/josaa.28.000061 · Cited by 23 · see citing works
Self-citationUniversal unitary gate for single-photon spin-orbit four-dimensional states
Slussarenko, S., Karimi, E., Piccirillo, B., Marrucci, L., & Santamato, E. (2009) · Physical Review A · doi:10.1103/physreva.80.022326 · Cited by 22 · see citing works
Self-citationChen, L., & She, W. (2011) · Physical Review A · doi:10.1103/physreva.83.012306 · Cited by 21 · see citing works
Karimi, E., Leach, J., Slussarenko, S., Piccirillo, B., Marrucci, L., Chen, L., She, W., Franke‐Arnold, S., Padgett, M. J., & Santamato, E. (2011) · Physical Review A · doi:10.1103/physreva.84.019904 · Cited by 19 · see citing works
Self-citationElectrically tunable and spin-dependent integer or noninteger orbital angular momentum generator
Chen, L., & She, W. (2009) · Optics Letters · doi:10.1364/ol.34.000178 · Cited by 18 · see citing works
Mosca, S., Canuel, B., Karimi, E., Piccirillo, B., Marrucci, L., Rosa, R. D., Genin, É., Milano, L., & Santamato, E. (2010) · Physical Review A · doi:10.1103/physreva.82.043806 · Cited by 17 · see citing works
Self-citationLombard, E., Drezet, A., Genet, C., et al. (2010) · New Journal of Physics · doi:10.1088/1367-2630/12/2/023027 · Cited by 16 · see citing works
dos Santos, B. C., Souza, C. E. R., Dechoum, K., & Khoury, A. Z. (2007) · Physical Review A · doi:10.1103/physreva.76.053821 · Cited by 15 · see citing works
Chen, L., & She, W. (2008) · Optics Express · doi:10.1364/oe.16.014629 · Cited by 15 · see citing works
Photodynamical Effects Induced by the Angular Momentum of Light in Liquid Crystals
Abbate, G., Maddalena, P., Marrucci, L., et al. (1991) · Physica Scripta · doi:10.1088/0031-8949/1991/t39/063 · Cited by 15 · see citing works
Self-citationGenerating entangled states of two ququarts using linear optical elements
Baek, S.-Y., & Kim, Y. H. (2007) · Physical Review A · doi:10.1103/physreva.75.034309 · Cited by 14 · see citing works
Ferrari, J. A., Dultz, W., Schmitzer, H., et al. (2007) · Physical Review A · doi:10.1103/physreva.76.053815 · Cited by 13 · see citing works
Quantum walk with a four-dimensional coin
Hamilton, C. S., Gábri, A., Jex, I., & Barnett, S. M. (2011) · Strathprints: The University of Strathclyde institutional repository (University of Strathclyde) · Cited by 13 · see citing works
Calibration Wave-Lengths for Infra-Red Spectrometers
Shearin, P. E., & Plyler, E. K. (1938) · Journal of the Optical Society of America · doi:10.1364/josa.28.000061 · Cited by 12 · see citing works
Electromagnetic torque and force in axially symmetric liquid-crystal droplets
Jánossy, I. (2008) · Optics Letters · doi:10.1364/ol.33.002371 · Cited by 10 · see citing works
Encoding orbital angular momentum onto multiple spin states based on a Huffman tree
Chen, L., & She, W. (2009) · New Journal of Physics · doi:10.1088/1367-2630/11/10/103002 · Cited by 8 · see citing works
Nondiffracting wave properties in radially and azimuthally symmetric optical axis phase plates
Vaveliuk, P. (2009) · Optics Letters · doi:10.1364/ol.34.003641 · Cited by 5 · see citing works
Topological Phase for Spin-Orbit Transformations on a Laser Beam
Souza, C. E. R., Huguenin, J. A. O., Milman, P., et al. (2008) · International Conference on Quantum Information · doi:10.1364/icqi.2008.jmb45 · Cited by 5 · see citing works
Photonic Quantum Information Applications of Patterned Liquid Crystals
Marrucci, L., Nagali, E., Sciarrino, F., Sansoni, L., Martini, F. D., Piccirillo, B., Karimi, E., & Santamato, E. (2010) · Molecular Crystals and Liquid Crystals · doi:10.1080/15421406.2010.485118 · Cited by 5 · see citing works
Self-citationRealization of four-state qudits using biphotonsPreprint
Moreva, E. V., Maslennikov, G., Straupe, S. S., & Kulik, S. P. (2006) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/0601091 · Cited by 2 · see citing works
BB84 Quantum Key Distribution Without a Shared Reference Frame
Souza, C. E. R., Borges, C. V. S., Khoury, A. Z., et al. (2008) · International Conference on Quantum Information · doi:10.1364/icqi.2008.jmb56 · Cited by 1 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Spin–orbit interactions of light
Bliokh, K. Y., Rodríguez-Fortuño, F. J., Nori, F., & Zayats, A. V. (2015) · Nature Photonics · doi:10.1038/nphoton.2015.201 · Cited by 2,276 · see citing works
“Most importantly for applications, the direction of the transverse SAM (equation (6)) becomes uniquely locked with the direction of propagation of the evanescent wave.”
BackgroundInfluentialCreation and Detection of Vector Vortex Modes for Classical and Quantum Communication
Ndagano, B., Nape, I., Cox, M. A., Rosales-Guzman, C., & Forbes, A. (2018) · Journal of Lightwave Technology · doi:10.1109/jlt.2017.2766760 · Cited by 312 · see citing works
Spin-to-orbital angular momentum conversion in focusing, scattering, and imaging systems
Bliokh, K. Y., Ostrovskaya, E. A., Alonso, M. A., Rodríguez-Herrera, O. G., Lara, D., & Dainty, C. (2011) · Optics Express · doi:10.1364/oe.19.026132 · Cited by 294 · see citing works
Optical helicity of interfering waves
Cameron, R. P., Barnett, S. M., & Yao, A. M. (2014) · Journal of Modern Optics · doi:10.1080/09500340.2013.829874 · Cited by 44 · see citing works
Spin-orbit interactions of light in isotropic media
Bliokh, K. Y., Aiello, A., & Alonso, M. A. (2012) · The Angular Momentum of Light · doi:10.1017/cbo9780511795213.009 · Cited by 20 · see citing works
Spin-orbit interactions of light
Bliokh, K. Y., Rodriguez-Fortuno, F. J., Nori, F., & Zayats, A. V. (2015) · arXiv
“Most importantly for applications, the direction of the transverse SAM (equation (6)) becomes uniquely locked with the direction of propagation of the evanescent wave.”
BackgroundInfluential
- Authors
- Marrucci, L., Karimi, E., Slussarenko, S., Piccirillo, B., Santamato, E., Nagali, E., & Sciarrino, F.
- Affiliations
- Superconducting and other Innovative Materials and Devices Institute (IT)
- University of Naples Federico II (IT)
- National Interuniversity Consortium for the Physical Sciences of Matter (IT)
- Sapienza University of Rome (IT)
- National Institute of Optics (IT)
- ORCID
- Venue
- Journal of Optics
- Publisher
- IOP Publishing
- Published
- 2011-04-27
- Volume
- 13
- Issue
- 6
- Pages
- 064001
- ISSN
- 0150-536X (ISSN-L)
- 2040-8978
- 2040-8986
- OpenAlex
- W2132951583
- Cited by
- 510
- References
- 123
- Citations by year
- 2026: 27 · 2025: 29 · 2024: 24 · 2023: 32 · 2022: 39 · 2021: 42 · 2020: 30 · 2019: 45 · 2018: 49 · 2017: 48 · 2016: 18 · 2015: 31 · 2014: 21 · 2013: 35 · 2012: 27
- FWCI
- 16.63
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Journal of Optics (publishedVersion)
- IRIS Research product catalog (Sapienza University of Rome) (submittedVersion)
- Griffith Research Online (submittedVersion)
- Funders
- European Commission (255914)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Orbital Angular Momentum in Optics
- Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Metamaterials and Metasurfaces Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Laser-Matter Interactions and Applications
- Keywords
- orbital angular momentum of light, spin angular momentum, q-plate, topological charge, anisotropic materials, polarization control, quantum information transfer
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