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由湍流大气中斜程传输时准单色高斯-谢尔(GSM)光束互相干函数的解析式导出了该光束的复相干度.然后,利用表征光束空间相干性的横向相干长度,研究了斜程传输时大气湍流对准单色GSM光束空间相干性的影响.研究结果表明:1)当传输路径偏离水平方向较大(即θ≤88°)时,准单色GSM光束横向相干长度随传输距离均为先迅速增加,后缓慢增加,最后基本保持不变.2)当传输路径接近水平方向(即θ≥89°)时,准单色GSM光束横向相干长度随传输距离均为先增大,达到一个最大值后开始下降并持续减小.3)空间相干性不同的准单色GSM光束在湍流大气中传输一定距离后空间相干性趋于相同.最后,对以上结果在物理上给予了解释.
The complex coherence of the beam is derived from the analytical solution of the quasi-monochromatic Gaussian-Shear (GSM) beams’ mutual coherence function when the bevelled atmospheric transmission in the turbulent atmosphere. Then, by using the horizontal coherence length characterizing the spatial coherence of the beam, The results show that: 1) when the transmission path deviates from the horizontal direction (ie, θ≤88 °), the transverse coherence length of quasi-monochromatic GSM beams varies with the transmission The distance increases rapidly first and then increases slowly, and finally remains unchanged.2) When the transmission path approaches the horizontal direction (ie, θ≥89 °), the lateral coherence length of the quasi-monochromatic GSM beam increases first with the transmission distance , And then began to descend and then decreased when reaching a maximum value.3) The quasi-monochromatic GSM beams with different spatial coherence tended to have the same spatial coherence after transmitting a certain distance in the turbulent atmosphere.Finally, the above results were given physically Explanation.