Spin-to-orbital angular momentum conversion in focusing, scattering, and imaging systems
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We present a general theory of spin-to-orbital angular momentum (AM) conversion of light in focusing, scattering, and imaging optical systems. Our theory employs universal geometric transformations of non-paraxial optical fields in such systems and allows for direct calculation and comparison of the AM conversion efficiency in different physical settings. Observations of the AM conversions using local intensity distributions and far-field polarimetric measurements are discussed.
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Superposition of the original σ-polarized state and the converted (-σ)-polarized state with the exp(2iσφ) vortex generates characteristic 'four-petal' patterns in the first and second Stokes parameters S1 and S2; this effect was observed in diffusive backscattering from microparticle suspensions, scattering by liquid-crystal droplets, and dipole nanoparticle scattering.
“Superposition of the original σ -polarized state and the converted ( -σ )-polarized state with the exp 2 i σφ ( ) vortex generates characteristic 'four-petal' patterns in the first and second Stokes parameters S 1 and S 2 , Fig. 2e. This effect was observed in systems of different nature and scales: diffusive backscattering from microparticle suspensions 109- 111 , scattering by”
From Spin–orbit interactions of light (2015) · cites this paper as [31]
Split into 2 atoms — 1 confirmed, 1 partially supported, 0 disputed, 0 misattributed, 0 unverifiable. Expand the claim to see per-atom verdicts.
Experimental — accuracy not yet measuredThe spin-to-orbital AM conversion can be interpreted as an azimuthal spin-Hall effect in cylindrically-symmetric fields; breaking this symmetry results in a pronounced spin-Hall effect in the direction orthogonal to the symmetry-breaking axis.
“The spin-to-orbital AM conversion can be interpreted as an azimuthal spin-Hall effect in cylindrically-symmetric fields 24,26,112 . Breaking this symmetry results in a pronounced spin-Hall effect in the direction orthogonal to the symmetry-breaking axis 8,28- 33 .”
From Spin–orbit interactions of light (2015) · cites this paper as [31]
Split into 2 atoms — 1 confirmed, 1 partially supported, 0 disputed, 0 misattributed, 0 unverifiable. Expand the claim to see per-atom verdicts.
Experimental — accuracy not yet measuredBreaking the cylindrical symmetry of a nonparaxial field produces spin-Hall effect shifts.
“Breaking the cylindrical symmetry of a nonparaxial field also produces spin-Hall effect shifts 28- 33 .”
From Spin–orbit interactions of light (2015) · cites this paper as [31]
Since both focusing and scattering produce strong SOI, these phenomena play an important role in high-resolution optical microscopy and imaging of scattering processes.
“Since both focusing and scattering produce strong SOI, these phenomena play an important role in high-resolution optical microscopy and imaging of scattering processes 31,109 .”
From Spin–orbit interactions of light (2015) · cites this paper as [31]
A high-NA microscope with a dipole-scatterer specimen allows a dramatic inversion of the spin-Hall effect scale: subwavelength x-displacements of the particle cause giant macroscopic y-redistribution of the SAM density (third Stokes parameter S3) in the exit pupil.
“Moreover, a high-NA microscope with a dipole-scatterer specimen allows a dramatic inversion of the spin-Hall effect scale 31 . Instead of subwavelength shifts caused by helicity switching (Fig. 1), subwavelength x -displacements of the particle cause giant macroscopic y -redistribution of the SAM density (i.e., the third Stokes parameter S 3 ) in the exit pupil, Fig. 2f.”
From Spin–orbit interactions of light (2015) · cites this paper as [31]
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Self-citation
- Authors
- Bliokh, K. Y., Ostrovskaya, E. A., Alonso, M. A., Rodríguez-Herrera, O. G., Lara, D., & Dainty, C.
- Affiliations
- Ollscoil na Gaillimhe – University of Galway (IE)
- Venue
- Optics Express
- Publisher
- Optica Publishing Group
- Published
- 2011-12-07
- Volume
- 19
- Issue
- 27
- Pages
- 26132
- ISSN
- 1094-4087 (ISSN-L)
- OpenAlex
- W2088976361
- Cited by
- 294
- References
- 51
- Citations by year
- 2026: 23 · 2025: 31 · 2024: 37 · 2023: 32 · 2022: 30 · 2021: 23 · 2020: 24 · 2019: 27 · 2018: 20 · 2017: 9 · 2016: 11 · 2015: 5 · 2014: 9 · 2013: 6 · 2012: 7
- FWCI
- 3.82
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Locations
- Optics Express (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- ARAN (University of Galway Research Repository) (Ollscoil na Gaillimhe – University of Galway) (submittedVersion, cc-by-nc-nd)
- arXiv (Cornell University)
- 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 › Engineering › Biomedical Engineering › Optical Polarization and Ellipsometry
- Keywords
- spin-to-orbital angular momentum conversion, orbital angular momentum of light, spin angular momentum, turbid media, imaging systems, geometric transformations, conversion efficiency, polarimetric measurement, far-field intensity distribution
- MeSH terms
- Algorithms, Computer Simulation, Image Interpretation, Computer-Assisted, Light, Models, Theoretical, Scattering, Radiation
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