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从ＨｕｙｇｅｎｓＦｒｅｓｎｅｌ衍射积分公式出发，得到了高斯光束经过球差透镜聚焦之后聚焦光场的光强分布的表示式。数值计算结果表明，当透镜存在负球差时，可获得超衍射极限聚焦，即得到的聚焦光斑比高斯光束经过无球差透镜聚焦而得到的聚焦光斑还小。并且，透镜的负球差系数越大，得到的聚焦光斑越小。相反，当高斯光束经过正球差透镜聚焦，得到的聚焦光斑比无球差时大。透镜的球差系数愈大，得到的聚焦光斑愈大。讨论了透镜的球差对轴上光强最大点（最佳聚焦点）的影响。
Based on the HuygensFresnel diffraction integral formula, the expression of the light intensity distribution of the focused light field after the Gaussian beam is focused by the spherical aberration lens is obtained. The numerical results show that when there is negative spherical aberration, the super-diffraction limit focusing can be obtained. That is to say, the obtained focused spot is smaller than the focused spot obtained by the Gaussian beam passing through the spherical aberration-free lens. Also, the larger the negative spherical aberration coefficient of the lens, the smaller the focused spot obtained. Conversely, when the Gaussian beam is focused by a positive spherical aberration lens, the resulting focal spot is larger than when there is no spherical aberration. The larger the spherical aberration coefficient of the lens, the larger the focused spot gets. The influence of the spherical aberration of the lens on the maximum point of light intensity (the best focus point) on the axis is discussed.