Study on the propagation parameters of Bessel–Gaussian beams carrying optical vortices through atmospheric turbulence

Abstract

Based on the integral representation of Bessel function and the extended Huygens-Fresnel principle, an integral expression of the Wigner distribution function (WDF) for partially coherent Bessel-Gaussian beams (PBGBs) propagating through turbulent atmosphere has been obtained. Also, the analytical formulas of the M2-factor for PBGB propagation in such a medium have been derived, which can be applied to cases of different spatial power spectra of the refractive index fluctuations. The performed numerical results reveal that the M2-factor of a PBGB in turbulent atmosphere depends on the beam parameters of the initial input beam, the structure constants of the turbulent atmosphere, and the propagation distance. These results may be useful in long-distance optical communications in free space or in turbulent atmosphere.

Beam wander relieved orbital angular momentum communication in turbulent atmosphere using Bessel beams

“…The investigation results show, in the same condition, the variance of fluctuations of the Bessel beam are smaller than that of the Laguerre Gaussian beam with the same topological charge. Compared with the conventional OAM beams, the Bessel beams show advantages in non-diffraction and self-healing, which can benefit the beam propagation in turbulent atmosphere 24 25 26 . For the coherent and partially coherent Bessel beams propagating through turbulent atmosphere, the statistical properties such as variance of fluctuations of the OAM 24 , M 2 –factor 25 and the variance of the displacement 26 are theoretical studied.…”

“…Compared with the conventional OAM beams, the Bessel beams show advantages in non-diffraction and self-healing, which can benefit the beam propagation in turbulent atmosphere 24 25 26 . For the coherent and partially coherent Bessel beams propagating through turbulent atmosphere, the statistical properties such as variance of fluctuations of the OAM 24 , M 2 –factor 25 and the variance of the displacement 26 are theoretical studied. The results show the Bessel-Gaussian beams are less affected by the turbulent atmosphere with larger values of topological charges 24 25 26 .…”

“…For the coherent and partially coherent Bessel beams propagating through turbulent atmosphere, the statistical properties such as variance of fluctuations of the OAM 24 , M 2 –factor 25 and the variance of the displacement 26 are theoretical studied. The results show the Bessel-Gaussian beams are less affected by the turbulent atmosphere with larger values of topological charges 24 25 26 . However, the ref.…”

Inner scale effect on scintillation index of flat-topped beam in non-Kolmogorov weak turbulence

“…Investigation on the shape of the beam has been of increasing interest because of the evidence that other types of incidence may be less influenced by turbulence. A wide variety of beam shapes have been considered, including Gaussian [11], Hermite-Gaussian [7], Hermite-cosh-Gaussian [12], cosh (cos)-Gaussian [13,14], Bessel [15,16], annular [14], dark hollow [17,18], Laguerre-Gaussian [19], and flat-topped beams [20][21][22][23][24][25]. Specifically, in recent years, some new attempts have been focused on flat-topped beams, which can be applied in inertial confinement fusion and material thermal processing for laser beams.…”

Coherence evolution of partially coherent beams carrying optical vortices propagating in non-Kolmogorov turbulence

“…The properties of BGBs in turbulent atmosphere have been studied [20][21][22], and it was both theoretically and experimentally demonstrated that spatially partially coherent beams are less affected by turbulence than fully coherent ones [23][24][25][26]. However, as far as we know, the coherence properties of partially coherent BGBs in non-Kolmogorov turbulence have not been examined until now.…”