Introduction and propagation properties of circular lorentz-bessel-gaussian beams

In this paper, circular Lorentz-Bessel-Gaussian beams (CLBGBs) are introduced as a novel member of the Lorentz-Gaussian beams family. The analytical expression of the propagation of these beams passing through a paraxial optical ABCD system is derived. The generalized Huygens-Fresnel diffraction integral of the form Collins's formula and the expansion of the Lorentz distribution in terms of the complete orthonormal basis set of the Hermite-Gauss modes are used. The influences of the beam-order and Bessel part beta, Gaussian and Lorentzian waists, and propagation distance z on the propagation of CLBGBs are investigated. Some numerical simulation results are done. The beams family in this work may be useful to the practical applications in free-space optical communications because they have vortex properties with their being experimentally realizable.

Automated summary

This paper introduces circular Lorentz-Bessel-Gaussian beams (CLBGBs) as a new member of the Lorentz-Gaussian beams family and derives the analytical expression for their propagation through a paraxial optical ABCD system. The influences of beam-order, Bessel part beta, Gaussian and Lorentzian waists, and propagation distance z on the propagation of CLBGBs are investigated through numerical simulations. The beams family in this work may have potential significance for practical applications in free-space optical communications.