Optics and Spectroscopy

, Volume 92, Issue 2, pp 253–262

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


  • A. V. Volyar
    • Vernadskii Tavricheskii National University
  • T. A. Fadeeva
    • Vernadskii Tavricheskii National University
Physical and Quantum Optics

DOI: 10.1134/1.1454038

Cite this article as:
Volyar, A.V. & Fadeeva, T.A. Opt. Spectrosc. (2002) 92: 253. doi:10.1134/1.1454038


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.

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© MAIK “Nauka/Interperiodica” 2002