Cai Yangjian, Dong Yiming, Hoenders Bernhard J
School of Physical Sciences and Technology, Soochow University, Suzhou 215006, China.
J Opt Soc Am A Opt Image Sci Vis. 2012 Dec 1;29(12):2542-51. doi: 10.1364/JOSAA.29.002542.
The interdependence between the temporal and the longitudinal and transverse spatial coherence is analyzed. The analysis concerns both the derivation of the exact analytical propagation equation of the mutual coherence in free space from a planar and spherical boundary surface and the numerical analysis of a specific model. This model assumes the mutual coherence function to be spatially incoherent at a planar surface. The temporal coherence of the mutual coherence function on the planar or spherical boundary surface is not quasi-monochromatic but much more general and given by Eq. (41). Two theorems are derived that are a generalization of the van Cittert-Zernike theorem.
分析了时间相干性与纵向和横向空间相干性之间的相互依存关系。该分析既涉及从平面和球面边界表面推导自由空间中相互相干性的精确解析传播方程，也涉及对特定模型的数值分析。该模型假设相互相干函数在平面表面上是空间不相干的。平面或球面边界表面上相互相干函数的时间相干性不是准单色的，而是更具一般性的，由式（41）给出。推导了两个定理，它们是范西特 - 泽尼克定理的推广。
