矩形分布高斯-谢尔模型列阵光束的等效曲率半径

 推导出矩形分布高斯-谢尔模型（GSM）列阵光束通过湍流大气传输的等效曲率半径的解析表达式。研究表明，等效曲率半径由湍流强度、GSM列阵光束参数及光束的叠加方式等因素共同确定。湍流使得等效曲率半径减小，但湍流对交叉谱密度函数叠加时等效曲率半径的影响要比光强叠加时大。在自由空间中，交叉谱密度函数叠加时GSM列阵光束的等效曲率半径要比光强叠加时的大。但是，随着湍流的增强，交叉谱密度函数叠加时GSM列阵光束的等效曲率半径可以大于、等于或小于光强叠加时的等效曲率半径。此外，若光束相干参数和子光束数目越大，则等效曲率半径受湍流的影响越大。GSM列阵光束的等效曲率半径受湍流的影响比高斯列阵光束要小。

Effective radius of curvature of rectangular Gaussian Schell-model array beams

The analytical expression for the effective radius of curvature of rectangular Gaussian Schell-model (GSM) array beams propagating through atmospheric turbulence is derived. It is shown that the effective radius of curvature depends on the strength of turbulence, the beam parameters and the type of beam superposition. The effective radius of curvature decreases due to turbulence. However, for the superposition of the cross-spectral density function, effective radius of curvature is more sensitive to turbulence than that for the superposition of the intensity. In free space effective radius of curvature for the superposition of the cross-spectral density function is always larger than that for the superposition of the intensity. However, when the strength of turbulence increases, effective