Chen Chunyi, Yang Huamin
J Opt Soc Am A Opt Image Sci Vis. 2017 Nov 1;34(11):2070-2076. doi: 10.1364/JOSAA.34.002070.
The root-mean-square (RMS) bandwidth of temporal light-flux fluctuations is formulated for both plane and spherical waves propagating in the turbulent atmosphere with location-dependent transverse wind. Two path weighting functions characterizing the joint contributions of turbulent eddies and transverse winds at various locations toward the RMS bandwidth are derived. Based on the developed formulations, the roles of variations in both the direction and magnitude of transverse wind velocity with locations over a path on the RMS bandwidth are elucidated. For propagation paths between ground and space, comparisons of the RMS bandwidth computed based on the Bufton wind profile with that calculated by assuming a nominal constant transverse wind velocity are made to exemplify the effect that location dependence of transverse wind velocity has on the RMS bandwidth. Moreover, an expression for the weighted RMS transverse wind velocity has been derived, which can be used as a nominal constant transverse wind velocity over a path for accurately determining the RMS bandwidth.
针对在具有位置相关横向风的湍流大气中传播的平面波和球面波，推导了时间光通量涨落的均方根（RMS）带宽。得出了两个路径加权函数，它们表征了不同位置的湍流涡旋和横向风对RMS带宽的联合贡献。基于所推导的公式，阐明了路径上横向风速的方向和大小随位置的变化对RMS带宽的作用。对于地面与空间之间的传播路径，将基于布夫顿风廓线计算的RMS带宽与假设横向风速名义恒定情况下计算的结果进行比较，以例证横向风速的位置相关性对RMS带宽的影响。此外，还推导了加权RMS横向风速的表达式，该表达式可用作路径上的名义恒定横向风速，以准确确定RMS带宽。
