Fang Yi-Chin, Tsai Chen-Mu, Macdonald John, Pai Yang-Chieh
Department of Mechanical and Automation Engineering, National Kaohsiung First University of Science and Technology, College of Engineering, 2 Jhuoyue Road, Nanzih District, Kaohsiung City 811, Taiwan.
Appl Opt. 2007 May 1;46(13):2401-10. doi: 10.1364/ao.46.002401.
Two different types of Gauss lens design, which effectively eliminate primary chromatic aberration, are presented using an efficient genetic algorithm (GA). The current GA has to deal with too many targets in optical global optimization so that the performance is not much improved. Generally speaking, achromatic aberrations have a great relationship with variable glass sets for all elements. For optics whose design is roughly convergent, glass sets for optics will play a significant role in axial and lateral color aberration. Therefore better results might be derived from the optimal process of eliminating achromatic aberration, which could be carried out by finding feasible glass sets in advance. As an alternative, we propose a new optimization process by using a GA and involving theories of geometrical optics in order to select the best optical glass combination. Two Gauss-type lens designs are employed in this research. First, a telephoto lens design is sensitive to axial aberration because of its long focal length, and second, a wide-angle Gauss design is complicated by lateral color aberration at the extreme corners because Gauss design is well known not to deal well with wide-angle problems. Without numbers of higher chief rays passing the element, it is difficult to correct lateral color aberration altogether for the Gauss design. The results and conclusions show that the attempts to eliminate primary chromatic aberrations were successful.
利用一种高效遗传算法（GA），提出了两种不同类型的有效消除初级色差的高斯透镜设计。当前的遗传算法在光学全局优化中要处理过多目标，以至于性能提升不大。一般来说，对于所有元件，消色差与可变玻璃组有很大关系。对于设计大致收敛的光学器件，光学器件的玻璃组在轴向和横向色差方面将发挥重要作用。因此，通过预先找到可行的玻璃组来进行消除色差的优化过程，可能会得到更好的结果。作为一种替代方法，我们提出了一种新的优化过程，即使用遗传算法并结合几何光学理论来选择最佳的光学玻璃组合。本研究采用了两种高斯型透镜设计。首先，长焦镜头设计由于其长焦距而对轴向像差敏感，其次，广角高斯设计因高斯设计众所周知难以处理广角问题而在极端角落处受到横向色差的困扰。由于没有大量较高的主光线穿过元件，对于高斯设计来说，完全校正横向色差是困难的。结果和结论表明，消除初级色差的尝试是成功的。
