Behavior of the central intensity of a Hollow-Gaussian beam against the turbulence

In this paper, on the basis of the extended Huygens-Fresnel diffraction integral in the paraxial approximation a principal theoretical expression of on-axis average intensity of Hollow-Gaussian light beam propagating through a turbulent atmosphere is developed. The impact of some factors including the turbulent strength and the beam parameters such as the beam order, the wavelength and the waist width on the variation of the on-axis intensity distribution characteristics are performed and discussed analytically and numerically in the study using the principle theoretical finding. The analysis of the numerical results shows that the atmospheric turbulence affects much the Hollow-Gaussian beams of higher wavelength. Also, as far as the turbulent strength increases, as much as the Hollow-Gaussian beam is more affected. Finally, it is pointed that the atmospheric turbulence has a great influence on the Hollow-Gaussian of lower order beam.