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基于惠更斯-菲涅尔原理,该文推导了反常涡旋光束在湍流大气中传输的解析式。研究了大气折射率结构常数和光束尺寸等参量对其传输特性的影响。数值仿真显示,在同一观测平面上,随着大气结构常数的增大,涡旋光束中心暗斑的尺寸逐渐变小并最终消失;在相同的大气折射率下,随着传输距离的增大,涡旋光束中心暗斑的尺寸也逐渐变小。
Based on the Huygens-Fresnel principle, this paper derives an analytic formula for the transmission of anomalous vortex beams in a turbulent atmosphere. The influence of atmospheric refractive index structure constant and beam size on the transmission characteristics was studied. Numerical simulations show that in the same observation plane, as the atmospheric structure constant increases, the size of the dark spot in the center of the vortex beam becomes smaller and eventually disappears. With the increase of the transmission distance under the same atmospheric refractive index, The size of the dark spot in the center of the vortex beam also gradually decreases.