Cui Linyan, Xue Bindang, Zheng Shiling, Xue Wenfang, Bai Xiangzhi, Cao Xiaoguang, Zhou Fugen
School of Astronautics, Beihang University, Beijing, China.
J Opt Soc Am A Opt Image Sci Vis. 2012 Jun 1;29(6):1091-8. doi: 10.1364/JOSAA.29.001091.
A new atmospheric spectral model and expressions of irradiance scintillation index are derived theoretically for optical wave propagating through moderate-to-strong non-Kolmogorov turbulence. They are developed under Andrews' assumption that small-scale irradiance fluctuations are modulated by large-scale irradiance fluctuations of the wave, and the geometrical optics approximation is adopted for mathematical development. A wide range of turbulence strength is considered instead of a limited range for weak turbulence. The atmospheric spectral model has a spectral power law value in the range of 3 to 4 instead of the standard power law value of 11/3. Numerical calculations are conducted to analyze the influences of spectral power law and turbulence strength.
本文从理论上推导了光波在中等到强非柯尔莫哥洛夫湍流中传播时的新型大气光谱模型及辐照度闪烁指数表达式。这些模型和表达式是在安德鲁斯的假设下推导得出的,即小尺度辐照度波动受光波大尺度辐照度波动调制,并采用几何光学近似进行数学推导。本文考虑了较宽范围的湍流强度,而非局限于弱湍流的有限范围。该大气光谱模型的光谱幂律值在3到4之间,而非标准幂律值11/3。通过数值计算分析了光谱幂律和湍流强度的影响。