摘要
运用δ函数的傅里叶变换,分析了阿贝-波特实验中一个令人感兴趣的滤波现象:在频谱面上放入水平狭缝,在像面上得到物的竖直结构;与此相反,在频谱面上放入竖直狭缝,在像面上得到物的水平结构.最后进一步讨论了理想梳状函数产生频谱图像被狭缝滤波的情况,使光学成像结构更加明显和直观.
This paper analyses an interesting filtering phenomenon in the Abbe-Porter experiment by using the Fourier transform of δ function . The perpendicular construction of the object is obtained on the image plane by horizontal narrow crack in the frequency spectrum plane ; On the contrary , the horizontal construction of the object is obtained on the image plane by perpendicular narrow crack in the frequency spectrum plane . In the end , the paper further discusses the situation in which frequency spectrum image produced by ideal comb function is filtered by narrow crack, so that the construction of optical image becomes more clearly and direct perception .