Nonlinear and Quantum Optics

Optics and Spectroscopy

, Volume 101, Issue 3, pp 450-457

First online:

Laguerre-Gaussian beams with complex and real arguments in a uniaxial crystal

  • A. V. VolyarAffiliated withNational Taurida Vernadsky University
  • , T. A. FadeevaAffiliated withNational Taurida Vernadsky University

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Abstract

A solution to the paraxial wave equation for Laguerre-Gaussian beams with complex and real arguments in a uniaxial crystal is found and analyzed. It is shown that the beams with a complex argument form a complete group of the solution, while the beams with a real argument satisfy the equation only for an arbitrary radial index, with the azimuthal index being fixed and equal to l = 1. The evolution of phase singularities is considered by the example of transformation of the structure of topological multipoles and generation of optical vortices.

PACS numbers

42.25.Ja 42.60.Jf