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聚焦透镜是Ｂｏｅｒｓｃｈ效应实验系统的一个关键部件。我们对聚焦透镜的结构进行了优化设计。根据优化的约束，选用了带有外点罚函数的Ｐｏｗｅｌｌ法。研究了其算法构造，并编制了相应的优化软件。用此软件进行优化计算后，得到了满足Ｂｏｅｒｓｃｈ效应实验要求的聚焦透镜。此结构用于实验中，观测到了明显的Ｂｏｅｒｓｃｈ效应。证明此优化方法对Ｂｏｅｒｓｃｈ效应实验系统中的聚焦透镜设计非常有效。
Focusing lenses are a key part of the Boersch effect experiment system. We optimized the structure of the focusing lens. According to the optimization constraint, the Powell method with penalty function of outer point is chosen. The algorithm structure is researched and the corresponding optimization software is compiled. After the optimization calculation with this software, a focusing lens that meets the Boersch effect experiment requirements was obtained. This structure was used in experiments and a significant Boersch effect was observed. It is proved that this optimization method is very effective for focusing lens design in Boersch effect experiment system.