Skip to main content
Log in

Static holographic phase conjugation of vortex beams

  • Physical and Quantum Optics
  • Published:
Optics and Spectroscopy Aims and scope Submit manuscript

Abstract

Phase conjugation of singular (vortex) beams is performed using a static nonlinearly recorded hologram. The diagnostics of phase-conjugate optical vortices is carried out by an original method based on the Young model of diffraction phenomena. It is shown that a phase-conjugate vortex is characterized by the same topological charge as a vortex inverted by degenerate four wave mixing, differing in sign from a vortex reflected by an ordinary mirror.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M. S. Soskin and M. V. Vasnetsov, in Progress in Optics, Ed. by E. Wolf (Elsevier, Amsterdam, 2001), Vol. 42, pp. 219–276.

    Google Scholar 

  2. P. Yeh, Introduction to Photorefractive Nonlinear Optics (Wiley, New York, 1993).

    Google Scholar 

  3. I. G. Marienko, M. S. Soskin, and M. V. Vasnetsov, Proc. SPIE 3487, 39 (1998).

    ADS  Google Scholar 

  4. I. G. Marienko, M. S. Soskin, and M. V. Vasnetsov, Asian J. Phys. 7, 495 (1998).

    Google Scholar 

  5. V. Yu. Bazhenov, M. V. Vasnetsov, and M. S. Soskin, JETP Lett. 52, 429 (1990).

    ADS  Google Scholar 

  6. N. R. Baranova, B. Ya. Zel’dovich, A. V. Mamaev, et al., Sov. Phys. JETP 56, 983 (1982).

    Google Scholar 

  7. G. V. Bogatyryova and M. S. Soskin, Semicond. Phys. Quantum Electron. Optoelectron. 6, 254 (2003).

    Google Scholar 

  8. P. V. Polyanskii, Opt. Spectrosc. 83, 324 (1997).

    ADS  Google Scholar 

  9. P. V. Polyanskii, Opt. Spectrosc. 84, 300 (1998).

    ADS  Google Scholar 

  10. P. V. Polyanskii, Opt. Spectrosc. 86, 288 (1999).

    ADS  Google Scholar 

  11. P. V. Polyanskii and G. V. Bogatyryova, Opt. Appl. 29, 583 (1999).

    Google Scholar 

  12. H. J. Caulfield, in Proceedings of International Conference: From Galileo’s “Occialino” to Optoelectronics (World Sci., New York, 1993), pp. 34–49.

    Google Scholar 

  13. J. Upatnieks and C. Leonard, J. Opt. Soc. Am. 60, 297 (1970).

    Google Scholar 

  14. Th. Young, Philos. Trans. R. Soc. London 20, 26 (1802).

    Google Scholar 

  15. A. Sommerfeld, Vorlesungen über Theoretische Physik, Vol. 4: Optik (Dieterich, Wiesbaden, 1950; Inostrannaya Literatura, Moscow, 1953; Academic, New York, 1954).

    Google Scholar 

  16. K. Miyamoto and E. Wolf, J. Opt. Soc. Am. 52, 615 (1962).

    MathSciNet  Google Scholar 

  17. P. V. Polyanskii, Proc. SPIE 5477, 31 (2003).

    ADS  Google Scholar 

  18. Ch. V. Felde, Proc. SPIE 5477, 67 (2003).

    ADS  Google Scholar 

  19. G. V. Bogatyryova, Ch. V. Felde, and P. V. Polyanskii, Opt. Appl. 33, 695 (2003).

    Google Scholar 

  20. G. V. Bogatyryova, Ch. V. Felde, P. V. Polyanskii, et al., Opt. Lett. 28, 878 (2003).

    ADS  Google Scholar 

  21. Ch. V. Felde, Ukr. J. Phys. 49, 473 (2004).

    Google Scholar 

  22. O. O. Arkhelyuk, P. V. Polyanskii, A. A. Ivanovskii, and M. S. Soskin, Opt. Appl. 34, 833 (2004).

    Google Scholar 

  23. G. V. Bogatyreva, K. V. Fel’de, P. V. Polyanskii, and M. S. Soskin, Opt. Spektrosk. 97, 845 (2004) [Opt. Spectrosc. 97, 782 (2004)].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Optika i Spektroskopiya, Vol. 98, No. 6, 2005, pp. 996–1001.

Original Russian Text Copyright © 2005 by Polyanski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\), Fel’de.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Polyanskii, P.V., Fel’de, K.V. Static holographic phase conjugation of vortex beams. Opt. Spectrosc. 98, 913–918 (2005). https://doi.org/10.1134/1.1953987

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1953987

Keywords

Navigation