Propagation properties of partially coherent flat-topped beam array in a turbulent atmosphere

In order to study propagation properties of partially coherent flat-topped (PCFT) beam array in a turbulent atmosphere,corresponding analytical formulate were derived based on the extend Huygens-Fresnel integral and numerical simulation was carried out with MATHEMATICA.The results indicate that for certain turbulence,the smaller coherence length,the faster it becomes Gaussian beam.The influence of atmospheric turbulence on the relative beam width spreading is larger for PCFT beam array with larger beam order and smaller coherence length.The strehl ratio of PCFT beam array with smaller coherence length and bigger beam order are less affected by turbulence.In the far field,for different beam order,if the bucket radius is four times smaller than the waist width of beams,the power in the bucket(PIB) is larger for PCFT beam array with the higher beam order.However,if the bucket radius is four times larger than the waist width of beams,its PIB is smaller.For different coherence length,when the bucket radius is four times smaller than the waist width of beams,the PIB is larger for PCFT beam array with the smaller coherence length,but its PIB is smaller when the bucket radius is four times larger than the waist width of beams.These results are useful for laser communication application.