分数阶Fourier变换和近区场的计算

摘要

在一维分数阶Fourier变换(FRFT，Fractional FourierTransform)的基础上，给出了二维FRFT的积分表示。通过对口径电流分布辐射场的分析，得到了口径辐射场与口径电流分布二维FRFT的关系。对于两种极限情况的讨论，表明二维FRFT可以一致地适用于Fresnel区和Fraunhofer区辐射场的表示。%The integral representation of two dimensional FRFT isproposed.On the base of the definition of one-dimensional fractional Fourier transform (FRFT),After analyzing the radiated field of an aperture current distribution, the relationship between this field and the 2D-FRFT of the current distribution is presented.Discussions on two limitation cases show that the 2D-FRFT can provide a uniformly effective tool for the computation of aperture radiation both in Fresnel and in Fraunhofer regions.