Yura H T
Appl Opt. 1973 Jun 1;12(6):1188-92. doi: 10.1364/AO.12.001188.
The Huygens-Fresnel principle, extended to a medium that exhibits a random spatial variation in the index of refraction, is used to calculate the resulting fringe patterns in the Fresnel-Fraunhofer and pointreference Fourier-transform methods of holography. The resolution limits pertaining to these two methods are derived. In the Fresnel-Fraunhofer method, the effect of the medium is a lateral reduction in the size of the hologram that leads to a corresponding loss of resolution. In the point-reference Fourier-transform method, on the other hand, the medium does not limit the lateral extent of the hologram but gives a uniform reduction in amplitude to the resulting fringe pattern. Thus in the latter method, resolution is not degraded; but the medium does limit the size of objects that can form holograms. Numerical results pertaining to underwater holography are given.
惠更斯 - 菲涅耳原理被扩展到折射率呈现随机空间变化的介质中，用于计算在菲涅耳 - 夫琅禾费全息术和点参考傅里叶变换全息术方法中产生的条纹图案。推导了与这两种方法相关的分辨率极限。在菲涅耳 - 夫琅禾费方法中，介质的作用是使全息图尺寸横向减小，从而导致相应的分辨率损失。另一方面，在点参考傅里叶变换方法中，介质并不限制全息图的横向范围，而是使所得条纹图案的幅度均匀减小。因此，在后一种方法中，分辨率不会降低；但介质确实限制了能够形成全息图的物体尺寸。给出了与水下全息术相关的数值结果。
