湍流大气中部分相干空心聚焦束的光强分布

The intensity distributions of focused partially coherent dark hollow beams in turbulent atmosphere

基于广义惠更斯-菲涅耳原理和相位结构函数的平方近似,研究了湍流大气中聚焦部分相干空心光束传输特性,用张量积分的方法导出了接收面上平均光强分布的解析表达式。研究结果表明:对于给定的传输距离,焦面上的光强分布均为高斯分布,高斯分布的峰值和腰宽与空心光束的初始相干长度、焦距的长度以及大气湍流起伏强度和湍流外尺度密切相关,而且在强湍流情况下,湍流外尺度严重影响峰值强度。

Bascd on the extended Huygens- Fresnel principle and the quadratic approximation of phase structure function, we investigate the propagation properties of focused partially coherent dark hollow beams （DHB） in turbulent atmosphere. By the use of tensor integral method, the analytical expression of average intensity distribution on the receiver plane was obtained. Results show that, the intensity distribution on the focal plane is Ganssian distribution. The maximum value and waist width of the Ganssian distribution change with the variation of the initial coherent length of DHB, the focused distance, the turbulent strength and the turbulence outer scale. Under the condition of strong turbulence, the outer scale of turbulence affects the intensity maximum value considerably.