相位屏结构函数对大气层厚的非线性依赖
Nonlinear Dependence of the Phase Screen Structure Function on the Atmospheric Layer Thickness
摘要：
由两条平行光线在透射穿过湍流空气层后累积的相位结构函数最好通过与孔径中的横向距离的5/3幂成比例来获知，该比例来自折射率的各向同性柯尔莫哥洛夫谱。对于折射率的冯-卡门光谱，涉及距离与外尺度之比的修改的贝塞尔函数的依赖性也是已知的。另一个标准命题是与通过大气层的路径长度成比例。手稿修改这个因素，通过一个完善的计算的结构功能的积分表示。随着横向距离与层厚成比例地增长，校正建立了次线性;这对于大的外部尺度比小的外部尺度更重要。
英文摘要：
The phase structure function accumulated by two parallel rays after transmission through a layer of turbulent air is best known by a proportionality to the 5/3rd power of the lateral distance in the aperture, derived from an isotropic Kolmogorov spectrum of the refractive index. For a von-Karman spectrum of the refractive index, a dependence involving a modified Bessel function of the ratio of the distance over the outer scale is also known. A further standard proposition is a proportionality to the path length through the atmospheric layer. The manuscript modifies this factor through a refined calculation of an integral representation of the structure function. The correction establishes a sub-linearity as the lateral distance grows in proportion to the layer thickness; it is more important for large than for small outer scales.
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