文章主要针对激光光学系统设计中存在的球差对高斯光束像方束腰半径的影响进行了详细的讨论，并给出了具体关系。

The effect of spherical aberration on the radius of image beam waist in the design of laser optical system is discussed in detail, and the expression is presented.

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高斯光束对标准硅球直径测量的影响分析。

Impact Analysis of Gaussian Beam on Measurement of Single Crystal Silicon Sphere Diameter.

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本文通过分析球谐模的几何因子，提出了光束排布的优化规则。

By analyzing the geometrical factor of the spherical-harmonic modes, the general rules are proposed for optimizing the configuration of beams.

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