Yura H T
Appl Opt. 1972 Jun 1;11(6):1399-406. doi: 10.1364/AO.11.001399.
On the basis of the extended Huygens-Fresnel principle, a general expression is derived for the mutual coherence function (MCF) of a finite optical beam propagating in a weakly inhomogeneous medium. The results obtained here for the beam MCF are valid both in the near and far field of the laser transmitting aperture and for an arbitrary complex disturbance in the exit pupil of the aperture. A general expression is also derived for the propagation distance z(B) such that for distances much less (greater) than z(B), the MCF is well approximated by the plane (spherical) wave results. An analytic expression is pre-sented for a Gaussian beam such that a numerical error in previous results is corrected. Finally, some comments regarding higher order statistical moments of the field are given.
基于扩展的惠更斯-菲涅耳原理，推导了有限光束在弱非均匀介质中传播时互相关函数（MCF）的一般表达式。这里得到的光束MCF结果在激光发射孔径的近场和远场均有效，并且适用于孔径出瞳处的任意复扰动。还推导了传播距离z(B)的一般表达式，使得对于远小于（大于）z(B)的距离，MCF可以很好地用平面（球面）波结果近似。给出了高斯光束的解析表达式，从而修正了先前结果中的数值误差。最后，对场的高阶统计矩给出了一些评论。
