Calculation and Experimental Proof of the Transverse Shift Induced by Total Internal Reflection of a Circularly Polarized Light Beam
Abstract
Wiegrefe, Fedorov, Costa de Beauregard, and Schilling have discussed the transverse energy flux existing in total reflection of an elliptically polarized light beam, the latter two proposing formulas for the transverse shift of the reflected beam. We have calculated the transverse shift by an energy-flux-conservation argument similar to Kristoffel's and to Renard's in their deduction of the longitudinal Goos-H\"anchen shift, thus obtaining a formula different from those of the previous authors. We have also tested experimentally the existence of the transverse shift, in the optimal case of circular polarization and quasilimit total reflection, by using two slightly different multiplying procedures. Our measurements definitely vindicate our own formula for the transverse shift against both Costa de Beauregard's and Schilling's. The relevance of our results in connection with noncollinearity of velocity and momentum of the spinning photon inside the evanescent wave is very briefly discussed.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The conservation of total angular momentum, Eq. (3.42), links the spin Hall effect of light to the transverse Imbert-Fedorov shift.
“The conservation of the total angular momentum, Eq. (3.42), links the spin Hall effect of light to another remarkable phenomenon - the transverse Imbert-Fedorov shift [24,27,99 -118].”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [105]
Cites
Ein neuer und fundamentaler Versuch zur Totalreflexion
Goos, F., & Hänchen, H. (1947) · Annalen der Physik · doi:10.1002/andp.19474360704 · Cited by 1,609 · see citing works
Die Elektrodynamik des rotierenden Elektrons
Frenkel, J. (1926) · The European Physical Journal A · doi:10.1007/bf01397099 · Cited by 504 · see citing works
Total Reflection: A New Evaluation of the Goos–Hänchen Shift
Renard, R. (1964) · Journal of the Optical Society of America · doi:10.1364/josa.54.001190 · Cited by 385 · see citing works
Neumessung des Strahlversetzungseffektes bei Totalreflexion
Goos, F., & Lindberg‐Hänchen, H. (1949) · Annalen der Physik · doi:10.1002/andp.19494400312 · Cited by 310 · see citing works
Classical and Quantum Theories of Spinning Particles
Corben, H. C., & Greene, M. P. (1969) · American Journal of Physics · doi:10.1119/1.1975372 · Cited by 158 · see citing works
Schilling, H. (1965) · Annalen der Physik · doi:10.1002/andp.19654710304 · Cited by 96 · see citing works
Beitrag zur Theorie der Totalreflexion
Picht, J. (1929) · Annalen der Physik · doi:10.1002/andp.19293950402 · Cited by 78 · see citing works
Local Observables in Quantum Theory
Hestenes, D., & Gurtler, R. W. (1971) · American Journal of Physics · doi:10.1119/1.1986364 · Cited by 52 · see citing works
Transmission of Optical Energy Along Surfaces: Part II, Inhomogeneous Media
Osterberg, H., & Smith, L. W. (1964) · Journal of the Optical Society of America · doi:10.1364/josa.54.001078 · Cited by 50 · see citing works
Spin precession in classical relativistic mechanics
Corben, H. C. (1961) · Il Nuovo Cimento · doi:10.1007/bf02731501 · Cited by 39 · see citing works
Experimental proof of the photon's translational inertial spin effect
Imbert, C. (1970) · Physics Letters A · doi:10.1016/0375-9601(70)90889-3 · Cited by 30 · see citing works
Self-citationDie Beharrungsgesetze in der allgemeinen Relativit�tstheorie
Mathisson, M. (1931) · The European Physical Journal A · doi:10.1007/bf01394605 · Cited by 23 · see citing works
Eine neue L�sungsmethode f�r Differentialgleichungen von normalem hyperbolischem Typus
Mathisson, M. (1933) · Mathematische Annalen · doi:10.1007/bf01448901 · Cited by 17 · see citing works
Über die Verteilung des Energiestroms bei der Totalreflexion
Noether, F. (1931) · Annalen der Physik · doi:10.1002/andp.19314030203 · Cited by 16 · see citing works
Translational Inertial Spin Effect with Moving Particles
de Beauregard, O. C. (1964) · Physical Review · doi:10.1103/physrev.134.b471 · Cited by 16 · see citing works
Neue 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
Wiegrefe, A. (1916) · Annalen der Physik · doi:10.1002/andp.19163551106 · Cited by 5 · see citing works
Rose, H., & Wiegrefe, A. (1916) · Annalen der Physik · doi:10.1002/andp.19163551107 · Cited by 3 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Berry phase effects on electronic properties
Xiao, D., Chang, M.-C., & Niu, Q. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.1959 · Cited by 5,277 · see citing works
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
Observation of the Spin Hall Effect of Light via Weak Measurements
Hosten, O., & Kwiat, P. (2008) · Science · doi:10.1126/science.1152697 · Cited by 2,026 · see citing works
Onoda, M., Murakami, S., & Nagaosa, N. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.083901 · Cited by 1,148 · see citing works
Transverse and longitudinal angular momenta of light
Bliokh, K. Y., & Nori, F. (2015) · Physics Reports · doi:10.1016/j.physrep.2015.06.003 · Cited by 954 · see citing works
Extraordinary momentum and spin in evanescent waves
Bliokh, K. Y., Bekshaev, A. Y., & Nori, F. (2014) · Nature Communications · doi:10.1038/ncomms4300 · Cited by 797 · see citing works
Bliokh, K. Y., & Bliokh, Y. P. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.073903 · Cited by 753 · see citing works
Goos–Hänchen and Imbert–Fedorov beam shifts: an overview
Bliokh, K. Y., & Aiello, A. (2013) · Journal of Optics · doi:10.1088/2040-8978/15/1/014001 · Cited by 639 · see citing works
Geometrodynamics of spinning light
Bliokh, K. Y., Niv, A., Kleiner, V., & Hasman, E. (2008) · Nature Photonics · doi:10.1038/nphoton.2008.229 · Cited by 615 · see citing works
Spin-orbit interaction of a photon in an inhomogeneous medium
Liberman, V. S., & Zel’dovich, B. Y. (1992) · Physical Review A · doi:10.1103/physreva.46.5199 · Cited by 424 · see citing works
Internal flows and energy circulation in light beams
Bekshaev, A., Bliokh, K. Y., & Soskin, M. (2011) · Journal of Optics · doi:10.1088/2040-8978/13/5/053001 · Cited by 368 · see citing works
Role of beam propagation in Goos–Hänchen and Imbert–Fedorov shifts
Aiello, A., & Woerdman, J. P. (2008) · Optics Letters · doi:10.1364/ol.33.001437 · Cited by 368 · see citing works
Experimental observation of the spin Hall effect of light on a nanometal film via weak measurements
Zhou, X., Xiao, Z., Luo, H., & Wen, S. (2012) · Physical Review A · doi:10.1103/physreva.85.043809 · Cited by 310 · see citing works
Bliokh, K. Y., & Bliokh, Y. P. (2007) · Physical Review E · doi:10.1103/physreve.75.066609 · Cited by 224 · see citing works
Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium
Bliokh, K. Y. (2009) · Journal of Optics A: Pure and Applied Optics · doi:10.1088/1464-4258/11/9/094009 · Cited by 217 · see citing works
Geometrical Optics of Beams with Vortices: Berry Phase and Orbital Angular Momentum Hall Effect
Bliokh, K. Y. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.043901 · Cited by 216 · see citing works
Weak Measurements of Light Chirality with a Plasmonic Slit
Gorodetski, Y., Bliokh, K. Y., Stein, B., Genet, C., Shitrit, N., Kleiner, V., Hasman, E., & Ebbesen, T. W. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.013901 · Cited by 218 · see citing works
How orbital angular momentum affects beam shifts in optical reflection
Merano, M., Hermosa, N., Woerdman, J. P., & Aiello, A. (2010) · Physical Review A · doi:10.1103/physreva.82.023817 · Cited by 202 · see citing works
Goos–Hänchen and Imbert–Fedorov shifts of polarized vortex beams
Bliokh, K. Y., Shadrivov, I. V., & Kivshar, Y. S. (2009) · Optics Letters · doi:10.1364/ol.34.000389 · Cited by 158 · see citing works
Spin Hall effect of light in metallic reflection
Hermosa, N., Nugrowati, A. M., Aiello, A., & Woerdman, J. P. (2011) · Optics Letters · doi:10.1364/ol.36.003200 · Cited by 110 · see citing works
Fermat principle for spinning light
Duval, C., Horváth, Z., & Horváthy, P. A. (2006) · Physical Review D · doi:10.1103/physrevd.74.021701 · Cited by 107 · see citing works
Fedoseyev, V. G. (2001) · Optics Communications · doi:10.1016/s0030-4018(01)01262-7 · Cited by 100 · see citing works
Dennis, M. R., & Götte, J. B. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.183903 · Cited by 100 · see citing works
Geometrical aspects in optical wave-packet dynamics
Onoda, M., Murakami, S., & Nagaosa, N. (2006) · Physical Review E · doi:10.1103/physreve.74.066610 · Cited by 95 · see citing works
Ultrafast optical imaging of the spin Hall effect of light in semiconductors
Ménard, J.-M., Mattacchione, A. E., van Driel, H. M., Hautmann, C., & Betz, M. (2010) · Physical Review B · doi:10.1103/physrevb.82.045303 · Cited by 85 · see citing works
Spin Hall effect of reflected light at the air-uniaxial crystal interface
Qin, Y., Li, Y., Feng, X., Liu, Z., He, H., Xiao, Y.-F., & Gong, Q. (2010) · Optics Express · doi:10.1364/oe.18.016832 · Cited by 74 · see citing works
Angular momentum balance and transverse shifts on reflection of light
Player, M. A. (1987) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/20/12/020 · Cited by 64 · see citing works
Fedoseyev, V. G. (1988) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/21/9/019 · Cited by 62 · see citing works
Okuda, H., & Sasada, H. (2008) · Journal of the Optical Society of America A · doi:10.1364/josaa.25.000881 · Cited by 57 · see citing works
Polarization transport of transverse acoustic waves: Berry phase and spin Hall effect of phonons
Bliokh, K. Y., & Freilikher, V. D. (2006) · Physical Review B · doi:10.1103/physrevb.74.174302 · Cited by 55 · see citing works
Fedoseyev, V. G. (2008) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8113/41/50/505202 · Cited by 50 · see citing works
Bekshaev, A. Y. (2009) · Journal of Optics A: Pure and Applied Optics · doi:10.1088/1464-4258/11/9/094003 · Cited by 47 · see citing works
Okuda, H., & Sasada, H. (2006) · Optics Express · doi:10.1364/oe.14.008393 · Cited by 37 · 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
Pillon, F., Gilles, H., Girard, S., Laroche, M., & Emile, O. (2005) · Applied Physics B · doi:10.1007/s00340-005-1728-2 · Cited by 8 · see citing works
Spin-orbit interactions of light
Bliokh, K. Y., Rodriguez-Fortuno, F. J., Nori, F., & Zayats, A. V. (2015) · arXiv
- Authors
- Imbert, C.
- Affiliations
- Institut d’Optique Graduate School (FR)
- Corresponding author
- Imbert, Christian
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1972-02-15
- Volume
- 5
- Issue
- 4
- Pages
- 787-796
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2085909860
- Cited by
- 544
- References
- 18
- Citations by year
- 2026: 19 · 2025: 26 · 2024: 26 · 2023: 18 · 2022: 24 · 2021: 37 · 2020: 31 · 2019: 26 · 2018: 27 · 2017: 28 · 2016: 26 · 2015: 30 · 2014: 22 · 2013: 26 · 2012: 25
- FWCI
- 6.31
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- 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 › Engineering › Biomedical Engineering › Optical Polarization and Ellipsometry
- Keywords
- transverse shift, total internal reflection, circularly polarized light, Goos-Hänchen shift, evanescent waves, photon spin, energy flux conservation
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review