大气湍流对受光阑限制的多色高斯-谢尔模型光束总光强分布特性的影响

Influence of Turbulence on the Total Intensity Distribution of Apertured Polychromatic Gaussian Schell-model Beams

基于广义惠更斯-菲涅尔原理,采用Rytov相位结构函数二次近似和窗口函数的复高斯展开法,推导出了受光阑限制的多色高斯-谢尔模型(GSM)光束在大气湍流中的总光强公式,详细研究了大气湍流对受光阑限制的多色GSM光束总光强分布特性的影响.研究表明,光束截断参数、光束相干参数和源光谱带宽越小,大气湍流对受光阑限制的多色GSM光束总光强影响就越小.特别地,湍流对受光阑限制的多色GSM光束的影响比无光阑限制时要小;在大气湍流和自由空间中,受光阑限制的多色GSM光束比准单色GSM光束扩展大.

Based on the extended Huygens-Fresnel principle,the expression for the total intensity of apertured polychromatic Gaussian Schell-model（GSM） beams propagating through atmospheric turbulence is derived by using the quadratic approximation of the Rytov＇s phase structure function and the method of the window function expanded into a finite sum of complex-valued Gaussian functions.The influence of turbulence on the total intensity distribution is studied in detail.It shows that the total intensity of apertured polychromatic GSM beams is less affected by the turbulence with smaller beam truncation parameter,beam coherence parameter and bandwidth.In particular,apertured polychromatic GSM beams are less affected by the turbulence than that the unapertured one,while the spreading of apertured polychromatic GSM beams is greater than that of the quasi-monochromatic one in atmospheric turbulence and free space.