The electromagnetic helicity
Open accessAbstract
It is shown that the electromagnetic helicity, defined as the sum of the helicities of the electric and magnetic fields of an electromagnetic field in vacuum, is a constant of the motion. Furthermore, it is equal to twice the classical limit of the difference between the numbers of right- and left-handed photons, which establishes a close relationship between the wave and the particle meanings of the word helicity. Resumen. Se demuestra que la helicidad electromagnética, definida como la suma de las helicidades eléctrica y magnética de un campo electromagnético en el vacío, es una constante del movimiento. Además, es igual a dos veces el límite clásico de la diferencia entre los números de fotones polarizados a la derecha y a la izquierda, lo cual establece una relación cercana entre los significados ondulatorio y corpuscular de la palabra helicidad.
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A photon in a circularly polarised plane wave mode has helicity ±ħ, with the plus or minus signs referring to left- or right-handed circular polarisation, respectively, in the optics convention.
“The helicity of a photon in a circularly polarised plane wave mode is ± ℏ , the plus or minus signs referring to left- or right-handed circular polarisation, respectively, in the optics convention [12].”
From Optical helicity of interfering waves (2014) · cites this paper as [12]
Section 3 (page unavailable) relates electromagnetic helicity to photon handedness as H = 2ℏ(N_R − N_L), assigning a positive contribution to right-handed photons and a negative one to left-handed photons. That is the reverse of the claim’s plus-for-left, minus-for-right assignment. The paper does not identify its handedness labels as the optics convention. (LLM, conf=0.83)
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- Authors
- Trueba, J. L., & Rañada, A. F.
- Affiliations
- Universidad Complutense de Madrid (ES)
- ORCID
- Trueba, José L
- Venue
- European Journal of Physics
- Publisher
- IOP Publishing
- Published
- 1996-05-01
- Volume
- 17
- Issue
- 3
- Pages
- 141-144
- ISSN
- 0143-0807 (ISSN-L)
- 1361-6404
- OpenAlex
- W1971626293
- Cited by
- 97
- References
- 16
- Citations by year
- 2026: 4 · 2025: 5 · 2024: 4 · 2023: 4 · 2022: 8 · 2021: 10 · 2020: 8 · 2019: 12 · 2018: 8 · 2017: 7 · 2016: 5 · 2015: 5 · 2014: 2 · 2013: 5 · 2012: 3
- FWCI
- 0.48
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- European Journal of Physics (publishedVersion)
- Topics
- 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 › Orbital Angular Momentum in Optics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- helicity, first integrals, photon helicity, classical limit, wave-particle duality
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