In order to design a beam expander or beam compressor with a single ellipsoidal lens, the comprehensive learning strategy particle swarm algorithm was introduced. The refraction characteristics of an ellipsoidal surface expressed by the vector form of refraction law was theoretically analyzed. Fitness data formula in the comprehensive learning strategy particle swarm optimizer was gotten. A single ellipsoidal beam-expanding lens with length less than 170mm and shrinkage rate of 14. 16 was designed. The process of beam-shrinking or beam-expanding was simulated by using the ray tracing method. Simulation results show that a single ellipsoidal lens can play the role in compressing beam or expanding beam, and the comprehensive learning particle swarm algorithm can be applied to the design of beam expanders/compressors. The results is helpful in simplifying beam expanding/compressing systems and designing a single expanding/compressing beam lens to meet different requirements.%为了设计单个椭球面缩束(扩束)透镜,采用全面学习策略的粒子群算法作为设计方法,依据光线折射定律矢量形式所表征的椭球面折射特性进行了理论分析,得到了用全面学习策略的粒子群优化算法设计单个椭球面缩束(扩束)透镜的适应度数据公式,设计出了线度小于170mm缩束14.16倍的单个椭球面缩束透镜,并用光线追迹方法模拟了缩束或扩束过程.结果表明,单个椭球面透镜可以起到缩束或者扩束作用,全面学习策略的粒子群算法可用于椭球面缩束透镜的设计.这一结果对于简化扩(缩)束系统结构、设计出适应于不同要求的单个扩(缩)束透镜是有帮助的.
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