通过建立在一定约束条件下的菲涅耳衍射光场与分数阶傅里叶变换的等效性,以及在新的菲涅耳衍射系统（即球面波照射下的无透镜光学衍射系统）下,利用菲涅耳远场衍射和近场衍射的相关性,提出了一种基于Wigner变换的菲涅耳衍射光场的新算法,并用计算机模拟了相应的结论.较之传统算法,该算法更加简单明了,而且为进一步研究光场的分布特征提供了新的途径.

In this paper, by making use of the equivalent relation between free-space fresnel diffraction illuminated by the spherical wave and fractional fourier transform and the correlation between long distance and short distance diffraction, we proposed a new algorithm for Fresnel-diffraction based on the Wigner transform and simulated the conclusion by computer. Compared to traditional algorithm, the new one is not only more simple but also proposes a new way to study the distribution character of light space.