Conservation laws and transverse motion of energy on reflection and transmission of electromagnetic waves
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The conservation laws for the process of reflection and transmission of electromagnetic waves on a plane interface of isotropic transparent media are determined. Using these laws, relations have been established between the transverse shift (TS) of a centre of gravity of reflected and transmitted wavepackets, the change of the normal component of the intrinsic Minkowski angular momentum of the electromagnetic field and the Abraham transverse momentum (or the transverse electromagnetic power flow (TPF)). The previous investigations of the TS and TPF phenomena are discussed from the point of view of conservation laws.
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A similar interaction between the IOAM and EOAM occurs for vortex beams in inhomogeneous media, causing l-dependent transverse shifts at medium inhomogeneities (orbital-Hall effect).
“A quite similar interaction between the IOAM and EOAM (vortex and trajectory) occurs for vortex beams in inhomogeneous media 18,64,90- 95 . In this case, beams experience -dependent transverse shifts at the medium inhomogeneities.”
From Spin–orbit interactions of light (2015) · cites this paper as [92]
In the discussion of relation (20) (page unavailable), the paper says that a change in intrinsic angular momentum during reflection or transmission produces a transverse shift and an opposing change in orbital angular momentum. Section 3 treats wavepackets at a plane dielectric interface. Our copy does not establish this specifically for vortex beams or report shifts dependent on their orbital-angular-momentum index ℓ. (LLM, conf=0.85)
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Cites
Imbert, C. (1972) · Physical Review D · doi:10.1103/physrevd.5.787 · Cited by 544 · see citing works
Møller, C. (1972) · International Linear Collider · Cited by 510 · see citing works
Schilling, H. (1965) · Annalen der Physik · doi:10.1002/andp.19654710304 · Cited by 96 · see citing works
Observation of shifts in total reflection of a light beam by a multilayered structure
de Beauregard, O. C., Imbert, C., & Lévy, Y. (1977) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.15.3553 · Cited by 36 · see citing works
Translational Inertial Spin Effect with Photons
de Beauregard, O. C. (1965) · Physical Review · doi:10.1103/physrev.139.b1443 · Cited by 29 · see citing works
Shifts of Light Beams Due to Total Internal Reflection
Ashby, N., & Miller, S. C. (1973) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.7.2383 · Cited by 28 · see citing works
Гинзбург, В. Л. (1973) · Uspekhi Fizicheskih Nauk · doi:10.3367/ufnr.0110.197306f.0309 · Cited by 28 · see citing works
Phase-Shift Analysis of the Translation of Totally Reflected Beams
Boulware, D. G. (1973) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.7.2375 · Cited by 26 · see citing works
Energy-momentum quanta in Fresnel's evanescent wave
de Beauregard, O. C., Imbert, C., & Ricard, J.-P. (1971) · International Journal of Theoretical Physics · doi:10.1007/bf00670388 · Cited by 26 · see citing works
Energy motion on total internal reflection of an electromagnetic wave packet
Fedoseyev, V. G. (1986) · Journal of the Optical Society of America A · doi:10.1364/josaa.3.000826 · Cited by 14 · see citing works
Self-citationNeue Lichtströmungen bei Totalreflexion. Beiträge zur Diskussion des Poyntingschen Satzes
Wiegrefe, A. (1914) · Annalen der Physik · doi:10.1002/andp.19143502002 · Cited by 11 · see citing works
Interference theory of reflection from multilayered media
Ashby, N., & Miller, S. C. (1977) · Journal of the Optical Society of America · doi:10.1364/josa.67.000448 · Cited by 9 · see citing works
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Research works printed but not linked: 2
- de Beauregard 0 C, lmbert C and Levi Y 1977 Phys. Reu. D IS 3553 Born M and Wolf E 1964 Principles of Optics (Oxford: Pergamon)
- Fedoseyev V G and Adamson P V 1981 Preprint F-16, Estonian SSR, Academy of Sciences, Tartu (in Russian)
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- Authors
- Fedoseyev, V. G.
- Corresponding author
- Fedoseyev, V G
- Venue
- Journal of Physics A: Mathematical and General
- Publisher
- IOP Publishing
- Published
- 1988-05-07
- Volume
- 21
- Issue
- 9
- Pages
- 2045-2059
- ISSN
- 0305-4470 (ISSN-L)
- 1361-6447
- OpenAlex
- W2053874007
- Cited by
- 62
- References
- 12
- Citations by year
- 2026: 1 · 2025: 1 · 2024: 2 · 2023: 2 · 2022: 4 · 2021: 4 · 2020: 3 · 2019: 3 · 2018: 1 · 2017: 3 · 2016: 1 · 2015: 7 · 2014: 1 · 2013: 3 · 2012: 3
- FWCI
- 0.22
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Journal of Physics A Mathematical and General (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 › Materials Science › Electronic, Optical and Magnetic Materials › Metamaterials and Metasurfaces Applications
- Keywords
- conservation laws, electromagnetic wave reflection, electromagnetic wave transmission, transverse shift, transverse momentum, Abraham momentum, plane interface, wave packets
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