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