Shofner F M, Russell T G, Menzel R
Appl Opt. 1969 Oct 1;8(10):2043-6. doi: 10.1364/AO.8.002043.
The fact that a Fourier transform relationship exists between the front and back focal planes of a thin spherical lens can be used to obtain the power spectral distribution of two-dimensional holographic data. In particular, this form of optical data processing is considered for obtaining the spectral variation as a function of the recording distance of the holographic intensity distribution caused by illuminating an opaque sphere with plane waves. An approximate, closed form solution for the two-dimensional Fourier transform of this problem is derived.
薄球面透镜的前焦平面和后焦平面之间存在傅里叶变换关系这一事实，可用于获取二维全息数据的功率谱分布。具体而言，考虑采用这种形式的光学数据处理方法，以获得由平面波照射不透明球体所引起的全息强度分布的光谱变化与记录距离的函数关系。本文推导了该问题二维傅里叶变换的近似闭式解。
