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高功率激光通常具有振幅调制和相位畸变.采用统计光学方法推导了截断的有振幅调制和位相畸变光束在大气湍流中传输的等效曲率半径R的解析公式.研究表明:随着位相畸变参量、振幅调制参量和光束截断参量的增大,光束在自由空间中的R增大,但R受湍流的影响也会增大;并且高斯光束在自由空间中的R最大,但其受湍流影响也最大.因此,在大气湍流中传输到足够远时,截断的有振幅调制和位相畸变光束的R就要比高斯光束的大.特别地,相对等效曲率半径R_r随传输距离为非单调变化,存在一个最小值,即在该位置处R受湍流的影响最大.此外,达到R_r最小值所需传输距离随光束位相畸变和振幅调制的加剧而增大.
The high-power laser usually has amplitude modulation and phase distortion.The analytical formula of truncated equivalent curvature radius R of amplitude-modulated and phase-distorted beams propagating in atmospheric turbulence is deduced by statistical optics method.The results show that with the phase distortion parameter, The amplitude modulation parameter and the beam truncation parameter increase, the beam R increases in free space, but R is also affected by the turbulence; and the Gaussian beam has the largest R in free space, but it is also affected by turbulence Therefore, when the atmospheric turbulence is transmitted far enough, the truncated amplitude-modulated and phase-distorted beams will have a larger R than the Gaussian beams.In particular, the relative equivalent radius of curvature R_r varies non-monotonically with respect to the transmission distance A minimum value at which R is most affected by turbulence In addition, the transmission distance required to reach the minimum value of R_r increases with increasing phase distortion and amplitude modulation of the light beam.