Zhang Chao, Zhou Zhenglan, Xu Huafeng, Zhou Zhengxian, Han Yashuai, Yuan Yangsheng, Qu Jun
Opt Express. 2022 Jan 31;30(3):4071-4083. doi: 10.1364/OE.448717.
A general form of twisted Hermite Gaussian Schell-model (THGSM) beams is introduced; analytical expressionsare obtained for cross-spectral density and M-factor using the extended Huygens-Fresnel principle and Wigner function. The evolution of THGSM beams during propagation in non-Kolmogorov turbulence is shown numerically; the beams exhibit self-splitting and twist into two lobes. The intensity distribution evolves into a Gaussian shape and beam quality worsens with increasing distance; the intensity distribution and M-factor are determined by the twist factor, beam orders, and other beam parameters. THGSM beams provide more degrees of freedom to regulate beam parameters, thereby enriching the types of partially coherent beams.
引入了扭曲厄米高斯谢尔模型（THGSM）光束的一般形式；利用扩展惠更斯-菲涅耳原理和维格纳函数得到了交叉谱密度和M因子的解析表达式。数值显示了THGSM光束在非柯尔莫哥洛夫湍流中传播时的演化；光束表现出自分裂并扭曲成两个瓣。强度分布演变成高斯形状，并且随着距离增加光束质量变差；强度分布和M因子由扭曲因子、光束阶数和其他光束参数决定。THGSM光束提供了更多调节光束参数的自由度，从而丰富了部分相干光束的类型。
