Analysis of the beam quality of a multi-Gaussian Schell-model vortex beam in atmospheric turbulence

Analytical formulas of the angular width and propagation factor of a multi-Gaussian Schell-model vortex (MGSMV) beam through atmospheric turbulence are derived on the basis of the extended Huygens–Fresnel integral and second-order moments of Wigner distribution function. Evolution properties of the angular width and propagation factor of MGSMV beams propagating in atmospheric turbulence are investigated numerically. The results show that a multi-Gaussian Schell-model beam is more affected by atmospheric turbulence than a MGSMV beam, which will be useful for the practical application of the MGSMV beam.