Methodological notes

The Sagnac effect: correct and incorrect explanations

Federal Research Center Institute of Applied Physics of the Russian Academy of Sciences, ul. Ulyanova 46, Nizhny Novgorod, 603000, Russian Federation

Different explanations for the Sagnac effect are discussed. It is shown that this effect is a consequence of the relativistic law of velocity composition and that it can also be explained adequately within the framework of general relativity. When certain restrictions on the rotational velocity are imposed, the Sagnac effect can be attributed to the difference in the time dilation (or phase change) of material particle wave functions in the scalar (or correspondingly vector) gravitational potential of the inertial forces in a rotating reference system for counterpropagating waves. It is also shown that all the nonrelativistic interpretations of the Sagnac effect, which are unfortunately sometimes found in scientific papers, monographs and textbooks, are wrong in principle, even though the results they yield are accurate up to relativistic corrections in some special cases.

Fulltext is available at IOP
PACS: 01.65.+g, 03.30.+p, 07.60.Ly, 42.87.Bg (all)
DOI: 10.1070/pu2000v043n12ABEH000830
Citation: Malykin G B "The Sagnac effect: correct and incorrect explanations" Phys. Usp. 43 1229 (2000)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Малыкин Г Б «Эффект Саньяка. Корректные и некорректные объяснения» УФН 170 1325–1349 (2000); DOI: 10.3367/UFNr.0170.200012c.1325

References (290) Cited by (29) Similar articles (20) ↓

  1. A.A. Logunov, Yu.V. Chugreev “Special theory of relativity and the Sagnac effect31 861–864 (1988)
  2. G.B. Malykin “The relation of Thomas precession to Ishlinskii’s theorem as applied to the rotating image of a relativistically moving body42 505–509 (1999)
  3. G.B. Malykin, V.I. Pozdnyakova “Geometric phases in singlemode fiber lightguides and fiber ring interferometers47 289–308 (2004)
  4. V.I. Bodnarchuk, L.S. Davtyan, D.A. Korneev “Geometrical phase effects in neutron optics39 169–177 (1996)
  5. G.B. Malykin “Sagnac effect in ring lasers and ring resonators. How does the refraction index of the optical medium influence the sensitivity to rotation?57 714–720 (2014)
  6. G.B. Malykin “Para-Lorentz transformations52 263–266 (2009)
  7. V.I. Ritus “On the difference between Wigner’s and Møller’s approaches to the description of Thomas precession50 95–101 (2007)
  8. V.I. Ritus “Permutation asymmetry of the relativistic velocity addition law and non-Euclidean geometry51 709–721 (2008)
  9. G.B. Malykin, V.I. Pozdnyakova “Quadratic Sagnac effect — the influence of the gravitational potential of the Coriolis force on the phase difference between the arms of a rotating Michelson interferometer (an explanation of D C Miller's experimental results 1921—1926)58 398–406 (2015)
  10. M.I. Krivoruchenko “Rotation of the swing plane of Foucault’s pendulum and Thomas spin precession: two sides of one coin52 821–829 (2009)
  11. V.B. Morozov “On the question of the electromagnetic momentum of a charged body54 371–374 (2011)
  12. V.A. Aleshkevich “On special relativity teaching using modern experimental data55 1214–1231 (2012)
  13. Ya.A. Smorodinskii, V.A. Ugarov “Two paradoxes of the special theory of relativity15 340–346 (1972)
  14. B.M. Bolotovskii, G.B. Malykin “Visible shape of moving bodies62 1012–1030 (2019)
  15. M.A. Miller, Yu.M. Sorokin, N.S. Stepanov “Covariance of Maxwell equations and comparison of electrodynamic systems20 264–272 (1977)
  16. V.I. Vysotskii, V.I. Vorontsov et alThe Sagnac experiment with X-radiation37 289–302 (1994)
  17. V.L. Ginzburg, V.P. Frolov “Vacuum in a homogeneous gravitational field and excitation of a uniformly accelerated detector30 1073–1095 (1987)
  18. Yu.I. Hovsepyan “Some notes on the relativistic Doppler effect41 941–944 (1998)
  19. S.I. Blinnikov, L.B. Okun, M.I. Vysotskii “Critical velocities c/sqrt{3} and c/sqrt{2} in the general theory of relativity46 1099–1103 (2003)
  20. A.I. Musienko, L.I. Manevich “Classical mechanical analogs of relativistic effects47 797–820 (2004)

The list is formed automatically.

© 1918–2020 Uspekhi Fizicheskikh Nauk
Email: Editorial office contacts About the journal Terms and conditions