Papers
Topics
Authors
Recent
Search
2000 character limit reached

Rotational Doppler Effect and Spin-Rotation Coupling

Published 25 Mar 2024 in gr-qc and physics.optics | (2403.17151v1)

Abstract: The Rotational Doppler Effect (RDE) involves both the orbital angular momentum of electromagnetic radiation as well as its helicity. The RDE phenomena associated with photon helicity go beyond the standard theory of relativity. The purpose of this paper is to elucidate the theoretical basis of the helicity-dependent RDE in terms of the general phenomenon of spin-rotation coupling. The physical implications of this coupling are briefly pointed out and the nonlocal theory of rotating observers is described. For an observer rotating uniformly about the direction of incidence of a plane wave of definite helicity, the nonlocally measured amplitude of the wave is larger (smaller) if the observer rotates in the same (opposite) sense as the electromagnetic field. The implications of the nonlocal helicity dependence of the measured amplitude of the radiation are briefly discussed.

Definition Search Book Streamline Icon: https://streamlinehq.com
References (51)
  1. S. Lendinez, E. M. Chudnovsky and J. Tejada, “Rotational Doppler Effect in Magnetic Resonance”, Phys. Rev. B 82, 174418 (2010).
  2. G. Li, T. Zentgraf and S. Zhang, “Rotational Doppler effect in nonlinear optics”, Nature Phys. 12, 736-740 (2016).
  3. H. Zhou, D. Fu, J. Dong, P. Zhang, and X. Zhang, “Theoretical analysis and experimental verification on optical rotational Doppler effect”, Opt. Express 24, 10050-10056 (2016).
  4. L. Fang, M. J. Padgett and J. Wang “Sharing a common origin between the rotational and linear Doppler effects”, Laser & Photonics Rev. 11, 1700183 (2017).
  5. J. Deng, K. F. Li, W. Liu and G. Li, “Cascaded Rotational Doppler Effect”, Opt. Lett. 44, 2346-2349 (2019).
  6. T.-Y. Cheng, W.-Y. Wang, J.-S. Li, J.-X. Guo, S. Liu and J.-Q. Lü, “Rotational Doppler Effect in Vortex Light and Its Applications for Detection of the Rotational Motion”, Photonics 9, 441 (2022).
  7. O. Emile and J. Emile, “Rotational Doppler Effect: A Review”, Ann. Phys. (Berlin) 535, 2300250 (2023).
  8. I. Bialynicki-Birula and Z. Bialynicka-Birula, “Rotational Frequency Shift”, Phys. Rev. Lett. 78, 2539 (1997).
  9. A. Ya. Bekshaev, M. S. Soskin and M. V. Vasnetsov, “Angular momentum of a rotating light beam”, Opt. Commun. 249, 367-378 (2005).
  10. M. P. J. Lavery, S. M. Barnett, F. C. Speirits and M. J. Padgett, “Observation of the rotational Doppler shift of a white-light, orbital-angular-momentum-carrying beam backscattered from a rotating body”, Optica 1, 1-4 (2014).
  11. F. C. Speirits, M. P. J. Lavery, M. J. Padgett and S. M. Barnett, “Optical angular momentum in a rotating frame”, Opt. Lett. 39, 2944-2946 (2014).
  12. O. V. Angelsky, A. Ya. Bekshaev, I. I. Mokhun, M. V. Vasnetsov, C. Yu. Zenkova, S. G. Hanson and J. Zheng, “Review on the structured light properties: rotational features and singularities”, Opto-Electronics Rev. 30, e140860 (2022).
  13. A. Einstein, “Zur Elektrodynamik bewegter Körper [On the Electrodynamics of Moving Bodies]”, Ann. Phys. (Leipzig) 17, 891-921 (1905). http://dx.doi.org/10.1002/andp.19053221004
  14. H. P. Robertson, “Postulate versus Observation in the Special Theory of Relativity”, Rev. Mod. Phys. 21, 378-382 (1949).
  15. B. Mashhoon, “Limitations of Spacetime Measurements”, Phys. Lett. A 143, 176-182 (1990).
  16. B. Mashhoon, “Hypothesis of Locality in Relativistic Physics”, Phys. Lett. A 145, 147-153 (1990).
  17. B. Mashhoon, “The Hypothesis of Locality and its Limitations”, in Relativity in Rotating Frames, edited by G. Rizzi and M. L. Ruggiero (Kluwer Academic Publishers, Dordrecht, 2004), pp. 43-55. [arXiv:gr-qc/0303029]
  18. B. Mashhoon, “Nonlocal Special Relativity”, Ann. Phys. (Berlin) 520, 705-727 (2008). [arXiv:0805.2926 [gr-qc]]
  19. B. Mashhoon, “Gravitomagnetic Stern–Gerlach Force”, Entropy 23, no.4, 445 (2021). [arXiv:2102.06433 [gr-qc]]
  20. J. Larmor, “On the theory of the magnetic influence on spectra; and on the radiation from moving ions”, Phil. Mag. 44, 503-512 (1897).
  21. B. Mashhoon, “Modification of the Doppler effect due to the helicity - rotation coupling”, Phys. Lett. A 306, 66-72 (2002). [arXiv:gr-qc/0209079 [gr-qc]]
  22. J. C. Hauck and B. Mashhoon, “Electromagnetic waves in a rotating frame of reference”, Ann. Phys. (Berlin) 515, 275-288 (2003). [arXiv:gr-qc/0304069 [gr-qc]]
  23. P. J. Allen, “A radiation torque experiment”, Am. J. Phys. 34, 1185-1192 (1966).
  24. B. A. Garetz and S. Arnold, “Variable frequency shifting of circularly polarized laser radiation via a rotating half-wave plate”, Opt. Commun. 31, 1-3 (1979).
  25. B. A. Garetz, “Angular Doppler Effect”, J. Opt. Soc. Am. 71, 609-611 (1981).
  26. R. Simon, H. J. Kimble and E. C. G. Sudarshan, “Evolving Geometric Phase and Its Dynamical Manifestation as a Frequency Shift: An Optical Experiment”, Phys. Rev. Lett. 61, 19-22 (1988).
  27. B. Mashhoon, R. Neutze, M. Hannam and G. E. Stedman, “Observable frequency shifts via spin-rotation coupling”, Phys. Lett. A 249, 161-166 (1998). [arXiv: gr-qc/9808077]
  28. J. Courtial, K. Dholakia, D. A. Robertson, L. Allen and M. J. Padgett, “Measurement of the Rotational Frequency Shift Imparted to a Rotating Light Beam Possessing Orbital Angular Momentum”, Phys. Rev. Lett. 80, 3217-3219 (1998).
  29. J. Courtial, D. A. Robertson, K. Dholakia, L. Allen and M. J. Padgett, “Rotational Frequency Shift of a Light Beam”, Phys. Rev. Lett. 81, 4828-4830 (1998).
  30. B. Mashhoon, “On the Coupling of Intrinsic Spin with the Rotation of the Earth”, Phys. Lett. A 198, 9-13 (1995).
  31. E. P. Wigner, “On Unitary Representations of the Inhomogeneous Lorentz Group”, Ann. Math. 40, 149-204 (1939).
  32. B. Mashhoon, “Mach’s Principle and the Origin of Inertia”, Fundam. Theor. Phys. 183, 177-187 (2016). [arXiv:1509.01869 [gr-qc]]
  33. N. Ashby, “Relativity in the Global Positioning System”, Living Rev. Relativ. 6, 1 (2003).
  34. B. Demirel, S. Sponar and Y. Hasegawa, “Measurement of the spin-rotation coupling in neutron polarimetry”, New J. Phys. 17, 023065 (2015).
  35. A. Danner, B. Demirel, W. Kersten, R. Wagner, H. Lemmel, S. Sponar and Y. Hasegawa, “Spin-rotation coupling observed in neutron interferometry”, npj Quantum Information 6, 23 (2020). [arXiv:1904.07085 [quant-ph]]
  36. T. Yu, Z. Luo and G. E. W. Bauer, “Chirality as generalized spin-orbit interaction in spintronics”, Phys. Rept. 1009, 1-115 (2023). [arXiv:2206.05535 [cond-mat.mes-hall]]
  37. N. Bohr and L. Rosenfeld, “Zur Frage der Messbarkeit der elektromagnetischen Feldgrössen”, K. Dan. Vidensk. Selsk. Mat. Fys. Medd. 12, no. 8 (1933). [English translation: On the question of measurability of electromagnetic field quantities. In Quantum Theory and Measurement, edited by J. A. Wheeler and W. H. Zurek (Princeton University Press, Princeton, NJ, USA, 1983)].
  38. B. Mashhoon, “Nonlocal theory of accelerated observers”, Phys. Rev. A 47, 4498-4501 (1993).
  39. B. Mashhoon, “Toward Nonlocal Electrodynamics of Accelerated Systems”, Universe 6, no.12, 229 (2020). [arXiv:2011.09251 [gr-qc]]
  40. B. Mashhoon, “Nonlocal Electrodynamics of Rotating Systems”, Phys. Rev. A 72, 052105 (2005). [arXiv: hep-th/0503205]
  41. B. Mashhoon, “Optics of Rotating Systems”, Phys. Rev. A 79, 062111 (2009). [arXiv:0903.1315 [gr-qc]]
  42. D. F. Jackson Kimball, J. Dudley, Y. Li and D. Patel, “In-situ measurement of light polarization with ellipticity-induced nonlinear magneto-optical rotation”, Phys. Rev. A 96, 033823 (2017). [arXiv:1706.08149 [physics.optics]]
  43. B. Mashhoon, M. Molaei and Y. N. Obukhov, “Spin-Gravity Coupling in a Rotating Universe”, Symmetry 15, no.8, 1518 (2023). [arXiv:2304.08835 [gr-qc]]
  44. S. Poisson, “Mémoire sur la théorie du magnétisme en mouvement”, Mém. Acad. Sci. France 6, 441-570 (1823).
  45. J. Hopkinson, “Residual Charge of the Leyden Jar.—Dielectric Properties of different Glasses”, Phil. Trans. Roy. Soc. London 167, 599-626 (1877).
  46. F. W. Hehl and B. Mashhoon, “Nonlocal Gravity Simulates Dark Matter”, Phys. Lett. B 673, 279-282 (2009). [arXiv:0812.1059 [gr-qc]]
  47. F. W. Hehl and B. Mashhoon, “Formal framework for a nonlocal generalization of Einstein’s theory of gravitation”, Phys. Rev. D 79, 064028 (2009). [arXiv:0902.0560 [gr-qc]]
  48. R. J. van den Hoogen, “Towards a covariant smoothing procedure for gravitational theories”, J. Math. Phys. 58, no.12, 122501 (2017).
  49. B. Mashhoon, “Nonlocal electrodynamics of linearly accelerated systems”, Phys. Rev. A 70, 062103 (2004). [arXiv: hep-th/0407278]
  50. G. N. Bremm and F. T. Falciano, “Nonlocal Effects in Black Body Radiation,” Ann. Phys. (Berlin) 527, 265-277 (2015). [arXiv:1601.04997 [gr-qc]]
  51. B. Mashhoon, “Nonlocal Special Relativity: Amplitude Shift in Spin-Rotation Coupling”, in Proceedings of Mário Novello’s 70th Anniversary Symposium, edited by N. Pinto Neto and S. E. Perez Bergliaffa (Editora Livraria da Fisica, Sao Paulo, 2012), pp. 177-189. [arXiv:1204.6069 [gr-qc]]
Citations (1)
View on Semantic Scholar

Summary

No one has generated a summary of this paper yet.

Sign Up to Summarize

Paper to Video (Beta)

No one has generated a video about this paper yet.

Sign Up to Generate All Videos Subscribe on YouTube

Whiteboard

No one has generated a whiteboard explanation for this paper yet.

Sign Up to Generate

Open Problems

We haven't generated a list of open problems mentioned in this paper yet.

Generate Now

Continue Learning

We haven't generated follow-up questions for this paper yet.

Generate Now

Authors (1)

  1. Bahram Mashhoon 

Collections

Sign up for free to add this paper to one or more collections.

Sign Up

Tweets

Sign up for free to view the 1 tweet with 1 like about this paper.

Sign Up for Free