von Bieren K
Appl Opt. 1971 Dec 1;10(12):2739-42. doi: 10.1364/AO.10.002739.
In coherent optical filtering systems, the paraxial description of the imaging process represents the basis for the functional representation of the optical filter. With this approximation, the light amplitude in the secondary focal plane of an aberration-free lens appears as the Fourier transform of the light amplitude in the primary focal plane, as long as the field angles of all chief rays remain within the limits of Gaussian optics. The introduction of Abbe's sine condition into the chief ray path allows the paraxial restriction to be dropped, and the Fourier transform relationship becomes valid for large as well as small field angles. The resulting Fourier transform lens designs are remarkably different from conventional imaging systems.
在相干光学滤波系统中，成像过程的傍轴描述是光学滤波器功能表示的基础。基于此近似，只要所有主光线的视场角保持在高斯光学的范围内，无像差透镜二次焦平面上的光振幅就表现为一次焦平面上光振幅的傅里叶变换。将阿贝正弦条件引入主光线路径可消除傍轴限制，并且傅里叶变换关系对于大视场角和小视场角均有效。由此产生的傅里叶变换透镜设计与传统成像系统显著不同。
