湍流大气成像系统分辨率的研究

采用基于Kolmogorov 1941串级湍流模型建立的调制湍流折射率谱模型、简单透镜成像系统传递函数的高斯函数近似和平方近似，从理论上分析了大气成像系统的光学传递函数，研究了有限湍流尺度(湍流内、外尺度)对湍流大气中成像系统光学分辨率的影响。给出了成像系统长曝光光学传递函数和积分分辨率的近似解析关系。结果表明在采用大孔径成像系统成像时，应该考虑湍流尺度对大气系统成像的作用。

Study of the Optical Resolution of Imaging System in Turbulence

Using the modulation model spectral density of the refractive index, which is based on the cascade turbulent model of the Kolomogorov 1941 theory, and using the Gaussian function approximation of the optical transfer function of a simple imaging system and square approximation , the paper presents a theoretical analysis of the modulation transfer functions and integral resolution of a simple system of imaging through the atmosphere with finite scales(outer-scale and inner-scale)of turbulence, derives approximation analytic formulas of long-term optical transfer function and integral resolution. The results show that the finite outer-scale of the turbulent atmosphere is an important factor for a large aperture system of imaging, which should be considered for quantitative estimates.