Propagation of rectangular multi-Gaussian Schell-model vortex beams in turbulent atmosphere

Abstract

Based on the extended Huygens-Fresnel integral, the analytical expression of average intensity of a rectangular multi-Gaussian Schell-model vortex (RMGSMV) beam propagating in turbulent atmosphere is derived, the effects of turbulent atmosphere on the average intensity and effective beam widths of a RMGSMV beam are analyzed. The numerical results indicate that the RMGSMV beam propagating in turbulent atmosphere will gradually evolve from the dark hollow beam into a solid beam with Gaussian-like distribution, and the effective beam width Wxz of a RMGSMV beam propagating in turbulent atmosphere with larger Cn2 will have a larger beam width. The results also show that the effective beam width of a RMGSMV beam with smaller σ, larger M and N1=N2 will have a larger effective beam width as the propagation distance increases.