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本文导出了瞬态矢量平面波三维复源脉冲波束平行射线展开的完整公式，并得到了展开截断误差、离散化展开误差与总误差的表达式．这种展开适用于任意脉冲信号．通过选择复源参。量、展开间距与展开半径，可使其在从展开面到最大展开距离之间规定的半径范围内，空间各处的合成场处处满足给定误差要求．本文具体计算了常用的高斯包络（包括高斯）信号瞬态矢量平面波的三维复源脉冲波束展开，分析了计算数值并得到了满意结果．这种展开方法特别适合于应用复源脉冲波束理论来研究瞬态波的传播与目标的散射特性分析
In this paper, a complete formula for parallel ray propagation of a three-dimensional complex source pulse beam with transient vector plane waves is deduced. The expressions of truncation error, discretization expansion error and total error are obtained. This expansion applies to any pulse signal. By selecting complex source parameters. The amount, spread, and deployment radius are such that they meet the given error requirements everywhere in the composite field throughout the space within a specified radius from the deployment plane to the maximum deployment distance. In this paper, three-dimensional complex source pulse beam spread of the commonly used Gaussian envelope (including Gaussian) signal transient vector plane wave is calculated. The numerical calculation and the satisfactory results are obtained. This method is especially suitable for the application of complex source pulse beam theory to study the transient wave propagation and the scattering characteristics of the target analysis