Rytov相位结构函数二次近似和硬边光阑复高斯函数展开近似的验证

Confirmation of the Quadratic Approximation of Rytov Phase Structure Function and the Approximation of Complex Gaussian-Function Expansion of Hard-Edge Apertures

以受光阑限制的高斯光束在大气湍流中传输为例,用仿真程序数值模拟方法和实验方法对用Rytov相位结构函数二次近似和复高斯函数展开法得到的解析结果(如光强分布、二阶矩束宽、桶中功率和β参数)进行了比较验证。研究表明,解析结果与数值模拟结果和实验结果基本吻合。此外,对用不同研究方法所得结果的差异给出了合理的解释。

The propagation of truncated Gaussian beams through atmospheric turbulence is taken as an example. The analytical results （i.e., the intensity distribution, the second-moment beam width, power in the bucket and β parameter）, which are obtained by using the quadratic approximation of Rytov′s phase structure function and complex Gaussian expansion method, are compared with those obtained by using numerical simulation and experimental methods. It is shown that the analytical results are nearly in agreement with those obtained by using numerical simulation and experimental methods. In addition, reasonable explanations to differences between different methods are also given.