A method to derive the Fraunhofer diffraction integral by making use of the theory of distributions is presented. With respect to standard textbooks, the pedagogical benefit of this method is that it uniquely uses the far-field approximation of the Fresnel diffraction integral. An operator representation of Fresnel diffraction is also derived.

中文翻译：

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菲涅尔积分的夫琅和费近似

提出了一种利用分布理论推导夫琅和费衍射积分的方法。相对于标准教科书，该方法的教学优势在于它独特地使用了菲涅尔衍射积分的远场近似。还导出了菲涅耳衍射的算子表示。