Fresnel diffraction and the fractional-order Fourier transform.
Fresnel diffraction and the fractional-order Fourier transform.
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DOI：
10.1364/ol.19.001388
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发表时间：
1994-09
期刊：
影响因子：
3.6
通讯作者：
P. Pellat-Finet
中科院分区：
文献类型：
--
作者：
P. Pellat-Finet
分数阶傅里叶变换适用于菲涅耳衍射的数学表达式，就像标准傅里叶变换适用于夫琅和费衍射一样。分数傅里叶变换的阶数的连续性对应于波传播的连续性，并且它们的组成符合惠更斯原理。
Fractional-order Fourier transforms are adapted to the mathematical expression of Fresnel diffraction, just as the standard Fourier transform is adapted to Fraunhofer diffraction. The continuity of fractional Fourier transforms with respect to their orders corresponds to the continuity of wave propagation, and their composition is in accordance with the Huygens principle.