推导出部分相干厄米-双曲正弦-高斯(H-ShG)光束通过湍流大气的平均光强和角扩展的解析表示式,并用以研究了部分相干H-ShG光束在湍流中的平均光强分布演化和角扩展.结果表明,折射率结构常数C2n的增加和空间相关长度σ0的减小都会加速演化过程.引入相对角扩展来定量描述光束抗拒湍流的能力.空间相关长度σ0,束腰宽度w0和双曲正弦部分参数Ω0越小,光束阶数m,n越大,部分相干H-ShG光束的角扩展受湍流的影响越小.
The analytical expressions for the average intensity and angular spread of partially coherent Hermite-sinh-Gaussian(H-ShG) beams propagating through turbulent atmosphere are derived and used to study the evolution of average intensity distribution and angular spread of partially coherent H-ShG beams in turbulence.It is shown that an increase of the refraction index structure constant C2_n and a decrease of the spatial correlation length σ_0 accelerate the evolution process.The relative angular spread is introduced to quantitatively describe the resistance of a beam to turbulence.The smaller the spatial correlation length σ_0,the waist width w_0,the Sh-part parameter Ω_0,and the larger the beam orders m,n,the less the angular spread of partially coherent H-ShG beams is affected by turbulence.