Geometrical Optics of Beams with Vortices: Berry Phase and Orbital Angular Momentum Hall Effect
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We consider propagation of a paraxial beam carrying the spin angular momentum (polarization) and intrinsic orbital angular momentum (IOAM) in a smoothly inhomogeneous isotropic medium. It is shown that the presence of IOAM can dramatically enhance and rearrange the topological phenomena that previously were considered solely in connection to the polarization of transverse waves. In particular, the appearance of a new type of Berry phase that describes the parallel transport of the beam structure along a curved ray is predicted. We derive the ray equations demonstrating the splitting of beams with different values of IOAM. This is the orbital angular momentum Hall effect, which resembles the Magnus effect for optical vortices. Unlike the spin Hall effect of photons, it can be much larger in magnitude and is inherent to waves of any nature. Experimental means to detect the phenomena are discussed.
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The spin-Hall shift at an interface ensures the conservation of the z-component of the total angular momentum between the incident and reflected beams.
“Namely, this shift ensures the conservation of the z -component of the total AM between the incident and reflected beams: S z = ′ S z + Lz ext ′”
From Spin–orbit interactions of light (2015) · cites this paper as [78]
The “TAM conservation and Fedorov-Imbert shift” passage (p. 3) says a transverse shift preserves the normal component of total angular momentum at an interface. Its calculation concerns the refracted beam under conditions where the reflected beam can be neglected; it does not establish the stated relation between incident and reflected beams. (LLM, conf=0.87)
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Self-citation
- Authors
- Bliokh, K. Y.
- Affiliations
- Bar-Ilan University (IL)
- Corresponding author
- Bliokh, Konstantin Yu.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2006-07-28
- Volume
- 97
- Issue
- 4
- Pages
- 043901-043901
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2083526648
- Cited by
- 216
- References
- 23
- Citations by year
- 2026: 12 · 2025: 12 · 2024: 22 · 2023: 15 · 2022: 21 · 2021: 25 · 2020: 8 · 2019: 13 · 2018: 10 · 2017: 11 · 2016: 6 · 2015: 4 · 2014: 3 · 2013: 3 · 2012: 8
- FWCI
- 5.36
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- 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 › Quantum and Classical Electrodynamics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
- Keywords
- orbital angular momentum, Berry phase, optical vortices, spin angular momentum, paraxial beams, ray equations, beam splitting, Magnus effect, topological phases, polarization
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