Intensity properties of four-petal Gaussian vortex beams propagating through atmospheric turbulence

Based on the extended Huygens–Fresnel diffraction integral, the analytical propagation equation for four-petal Gaussian vortex beam propagating in atmospheric turbulence is derived, and the average intensity of four-petal Gaussian vortex beam is discussed by numerical examples. The influences of refraction index structure, beam order N and topological charge M on the average intensity of the beam are analyzed.