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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry van Driel
  • Vol. 29, Iss. 4 — Apr. 1, 2012
  • pp: 714–718

Rotational Doppler shift of a phase-conjugated photon

A. Yu. Okulov  »View Author Affiliations

JOSA B, Vol. 29, Issue 4, pp. 714-718 (2012)

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The rotational Doppler shift of a photon with orbital angular momentum ± is shown to be an even multiple of the angular frequency Ω of the reference frame rotation when the photon is reflected from the phase-conjugating mirror. The one-arm phase-conjugating interferometer is considered. It contains N Dove prisms or other angular-momentum-altering elements rotating in opposite directions. When such interferometer is placed in the rotating vehicle, the δω=4(N+1/2)·Ω rotational Doppler shift appears. As a result, the helical interference pattern will rotate with angular frequency δω/2. The accumulation of angular Doppler shift via successive passages through the N image-inverting prisms is due to the phase conjugation; for a conventional parabolic retroreflector, the accumulation is absent. The features of such a vortex phase-conjugating interferometry at the single-photon level are discussed.

© 2012 Optical Society of America

OCIS Codes
(020.7010) Atomic and molecular physics : Laser trapping
(030.6140) Coherence and statistical optics : Speckle
(070.5040) Fourier optics and signal processing : Phase conjugation
(140.3560) Lasers and laser optics : Lasers, ring
(160.1585) Materials : Chiral media
(050.4865) Diffraction and gratings : Optical vortices

ToC Category:
Nonlinear Optics

Original Manuscript: September 27, 2011
Revised Manuscript: December 12, 2011
Manuscript Accepted: December 29, 2011
Published: March 20, 2012

A. Yu. Okulov, "Rotational Doppler shift of a phase-conjugated photon," J. Opt. Soc. Am. B 29, 714-718 (2012)

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Fig. 1. Fig. 2. Fig. 3.

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