The expressions of wave structure function (WSF) and long-exposure modulation transfer function (MTF) for laser beam propagation through non-Kolmogorov turbulence were derived in our previous work. In this paper, based on anisotropic maritime atmospheric non-Kolmogorov spectrum, the new analytic expression of WSF for Gaussian-beam waves propagation through turbulent atmosphere in a horizontal path is derived. Moreover, using this newly derived expression, long-exposure MTF for Gaussian-beam waves is obtained for analyzing the degrading effects in an imaging system. Using the new expressions, WSF and MTF for Gaussian-beam waves propagating in terrestrial and maritime atmospheric turbulence are evaluated. The simulation results show that Gaussian-beam waves propagation through maritime turbulence obtain more degrading effects than terrestrial turbulence due to the humidity and temperature fluctuations. Additionally, the degrading effects under anisotropic turbulence get less loss than that of isotropic turbulence.

中文翻译：

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各向异性海洋大气湍流中传播的高斯光束的波结构函数和长时间曝光MTF

在我们以前的工作中，推导了通过非Kolmogorov湍流传播的激光束的波结构函数（WSF）和长时间曝光调制传递函数（MTF）的表达式。本文基于各向异性的海洋大气非Kolmogorov谱，推导了WSF对高斯光束通过湍流在水平路径中传播的解析表达式。此外，使用该新导出的表达式，获得了用于高斯光束的长时间曝光MTF，以分析成像系统中的降级效果。使用新的表达式，对在陆地和海洋大气湍流中传播的高斯光束的WSF和MTF进行了评估。仿真结果表明，由于湿度和温度的波动，高斯光束通过海洋湍流传播比地面湍流具有更大的降解作用。另外，在各向异性湍流下的降解作用比各向同性湍流的损失少。