为了模拟受光阑限制光束衍射场的分布，利用泰勒展开得到了一系列的高阶修正场。随着传输距离z的减少，只需增大到合适的阶数M即可模拟衍射场分布。对于不同的传输距离z，可根据不等式来选择合适的阶数M。以超高斯光束为例，用数值计算例说明理论公式的应用。所得结果对于研究通过光阑衍射光束的传输是有用的。

In order to simulate the diffraction field of apertured beam more precisely,the higher-order field can simulate the diffraction field of apertured beam by an appropriate increase of the expansion order M as the propagation distance z decreases. For different values of the propagation distance z,the expansion order M can be chosen according to the inequality proposed. Taking the super-Gaussian beam as an example,numerical calculation is performed to illustrate the application of the theoretical formulations. The results obtained in this paper are useful for studying the propagation of optical beam diffracted by an aperture.