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本文利用Ｇａｂｏｒ原理把三维任意口面场表示成离散结构－波数相位空间中三维高斯基函数的叠加，将二维高斯基函数与相位空间谱双重正交的函数推广到三维，从而得到口面场展开函数。通过对辐射场一系列基本波束函数的积分渐近推导，得到任意口面场的复源近似，从而将三维任意口面衍射场的辐射展开为一系列三维复射线场的辐射。
In this paper, the Gabor principle is used to represent the three-dimensional arbitrary field into the discrete structure - the superposition of three-dimensional Gaussian basis in the wave number phase space. The dual orthogonal function of the two-dimensional Gauss basis function and the phase space spectrum is extended to three dimensions, Expand the function. The asymptotic derivation of a series of basic beam functions in the radiation field is derived, and the complex source approximation of an arbitrary field is derived, so that the radiation of a three-dimensional arbitrary aperture field is expanded into a series of radiation in a three-dimensional complex radiation field.