中文摘要：

从高超声速湍流流场中的多尺度涡结构入手，基于随机透镜理论，利用经典的Mie散射理论对不同尺度涡结构产生的气动光传输效应进行了分析，得到涡结构的散射特性与其尺度的相关性；再结合由不同马赫数下的CFD流场数据得到的Strehl比以及不同雷诺数条件下的风洞测试试验序列图像中退化图像能量集中度的统计结果，分析高超声速湍流流场中小尺度涡结构的分布规律及其演化过程；建立气动光学畸变与小尺度涡结构的关系。结果表明，利用Mie散射理论可以直观分析高超声速湍流流场中不同尺度涡结构的分布情况和由此带来的光学畸变。

英文摘要：

In light of multi-scale vortex structure in hypersonic turbulent flow field, the analysis and numerical calculations of aero-optical transmission effect were addressed in different scales vortex structures by the classical Mie scattering theory based on the random lens theory, and the intrinsic relationship between the scattering properties of vortex structures and its scale was confirmed. The distribution and evolution of small-scale vortex strucure in hypersonic turbulent flow field were deduced by comparing the Strehl ratios of computational fluid dynamics （CFD） flow dates under different Mach numbers and the statistically analyzing energy concentrations of degraded image, which were acquired in the wind tunnel test image sequences with various Reynolds numbers. Finally, the relationship between aero-optical distortions and small-scale vortex structures was established. The result shows that the Mie scattering theory can be used to analyze the distribution of vortices structures with different scales and the optical distortions arising from them in hypersonic turbulent flow field.