Wu Zhen-Sen, Li Ya-Qing
School of Science, Xidian University, Xi'an 710071, China.
J Opt Soc Am A Opt Image Sci Vis. 2011 Jul 1;28(7):1531-9. doi: 10.1364/JOSAA.28.001531.
On the basis of the extended Huygens-Fresnel principle, the scattering of partially coherent Gaussian-Schell-model (GSM) beams from a diffuse target in slant double-passage atmospheric turbulence is studied and compared with that of fully coherent Gaussian beams. Using the cross-spectral density function of the GSM beams, we derive the expressions of the mutual coherence function, angle-of-arrival fluctuation, and covariance and variance of the intensity of the scattered field, taking into account the fluctuations of both the log-amplitude and phase. The numerical results are presented, and the influences of the wavelength, propagation distance, and waist radius on scattering properties are discussed. The perturbation region of the normalized intensity variance of the partially coherent GSM beam is smaller than that of the fully coherent Gaussian beam at the middle turbulence level. The normalized intensity variance of long-distance beam propagation is smaller than that of beam propagation along a short distance.
基于扩展的惠更斯 - 菲涅尔原理，研究了部分相干高斯 - 谢尔模型（GSM）光束在倾斜双程大气湍流中从漫射目标的散射，并与完全相干高斯光束的散射进行了比较。利用GSM光束的交叉谱密度函数，我们推导了互相关函数、到达角起伏以及散射场强度协方差和方差的表达式，同时考虑了对数振幅和相位的起伏。给出了数值结果，并讨论了波长、传播距离和束腰半径对散射特性的影响。在中等湍流水平下，部分相干GSM光束归一化强度方差的扰动区域小于完全相干高斯光束的扰动区域。长距离光束传播的归一化强度方差小于短距离光束传播的归一化强度方差。
