Skip to main content
SpringerLink
Log in

Dynamics of topological multipoles: II. Creation, annihilation, and evolution of nonparaxial optical vortices

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

Abstract

The behavior of nonparaxial combined beams transferring two or four optical vortices with opposite topological charges (topological dipole or quadrupole) is studied. The paraxial and nonparaxial approaches are compared. It is shown that the behavior of a topologically neutral wave system is well characterized by the position of a representative point on the parametric plane. It is found that there exists a large region on this plane for which spatial trajectories of the optical vortices, both for dipoles and quadrupoles, do not intersect the focal plane, i.e., the vortices cannot exist within the forbidden zone. At the edges of the forbidden zone, the vortices are either created or annihilated. In contrast, there exists a region on the parametric plane for which the optical vortices can exist only near the waist plane.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. V. Berry, J. Mod. Opt. 45, 1845 (1998).

    ADS  Google Scholar 

  2. A. V. Volyar, V. G. Shvedov, and T. A. Fadeeva, Opt. Spektrosk. 90, 104 (2001) [Opt. Spectrosc. 90, 93 (2001)].

    Article  Google Scholar 

  3. M. S. Soskin, V. N. Gorshkov, M. V. Vasnetsov, et al., Phys. Rev. A 56, 4064 (1998).

    Article  ADS  Google Scholar 

  4. M. S. Soskin and M. V. Vasnetsov, in Horizons in World Physics, Ed. by M. Vasnetsov and K. Staliunas (Nova Science Publ., 1999), Vol. 228, pp. 1–35.

  5. A. V. Volyar and T. A. Fadeeva, Opt. Spektrosk. 85, 287 (1998) [Opt. Spectrosc. 85, 264 (1998)].

    Google Scholar 

  6. N. B. Baranova and B. Ya. Zel’dovich, Zh. Éksp. Teor. Fiz. 80, 1789 (1981) [Sov. Phys. JETP 53, 925 (1981)].

    MathSciNet  Google Scholar 

  7. A. V. Volyar, V. G. Shvedov, and T. A. Fadeeva, Opt. Spektrosk. 91, 255 (2001) [Opt. Spectrosc. 91, 235 (2001)].

    Article  ADS  Google Scholar 

  8. J. F. Nay and M. Berry, Proc. R. Soc. London, Ser. A 378, 219 (1981).

    Article  ADS  Google Scholar 

  9. J. F. Nay, Natural Focusing and Fine Structure of Light. Caustics and Wave Dislocations (Institute of Physics Publ., Bristol, 1999).

    Google Scholar 

  10. I. Freund, Opt. Commun. 163, 230 (1999).

    Article  ADS  Google Scholar 

  11. A. V. Volyar and T. A. Fadeeva, Opt. Spektrosk. 92, 255 (2002) [Opt. Spectrosc. 92, 243 (2002)].

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Vernadskii Tavricheskii National University, Simpheropol’, 95007, Ukraine

    A. V. Volyar & T. A. Fadeeva

Authors
  1. A. V. Volyar
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. A. Fadeeva
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

__________

Translated from Optika i Spektroskopiya, Vol. 92, No. 2, 2002, pp. 285–295.

Original Russian Text Copyright © 2002 by Volyar, Fadeeva.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Volyar, A.V., Fadeeva, T.A. Dynamics of topological multipoles: II. Creation, annihilation, and evolution of nonparaxial optical vortices. Opt. Spectrosc. 92, 253–262 (2002). https://doi.org/10.1134/1.1454038

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1454038

Keywords

Search

Navigation