The Optimization on Tolerance Assign of Optical Zoom Lens for Considering Multi-Performance Criteria

[[abstract]]公差的訂定係一產品從設計至生產製造必要的程序，其與產品之品質及成本息息相關，本文係針對光學變焦鏡頭利用光學模擬軟體完成設計後，欲符多品質目標時，公差訂定如何調整至最佳的問題進行研究。 在光學系統設計模擬軟體中，公差訂定的程序是當設計者訂定出光學鏡頭規格時，經由光學系統模擬軟體完成設計後，此時光學系統模擬軟體會依設計者所訂定的成像品質給一組適當的公差，在軟體設定上，成像品質一般都以調變轉換函數值(MTF)為評估指標。但影響光學鏡頭成像品質因素，除了MTF值之外，影響成像品質的重要因素尚有各類像差，諸如：畸變、相對照度、彗差、球差等等，而現今的光學系統模擬軟體在公差的設計上無法同時考量MTF值及各類像差的影響，故如何同時考量MTF值及指定像差對公差的影響，並進行公差調整係本研究的目的。 本研究以光學系統模擬軟體Code V作為光學變焦鏡頭設計與公差分析的工具，以光學變焦鏡頭作為載具，定出一套公差配置的流程，其主要方法是利用田口實驗法及變異數分析訂定公差分配範圍，使其達到重新調整光學軟體所給予的公差，再導入多目標最佳化方法(RMCO)，以成像品質均吻合各指定像差為條件重新調整公差值，經調整後有幾項敏感的公差縮小，縮小範圍都控制在原設定的20%以內，有多項公差放大，範圍在10%~100%，調整後除所指定的像差皆提升至訂定的成像品質外，其平均值與標準差也都有明顯的提升。[[abstract]]Setting tolerances for a designed product is a necessary process before manufacturing Different tolerances distribution would cause differences in product quality and production costs In this study tolerance adjustment for the optical zoom lenses designed by optical design software is focused In the optical design software when the designer follows specifications to achieve the required image quality and complete the design the optical software would follow the performance requirements to provide a set of tolerance The modulation transfer function (MTF) is always indicated as the image quality of the general optical design software However in addition to MTF value three-order aberration and relative illumination could probably be the concerned factors of affecting image quality Tolerances given by the optical software do not simultaneously depend on the MTF value and the aberration conditions So when the aberration is also regarded as the important system quality the design software cannot be given a set of tolerances that match the required MTF and concern aberrations at the same time Hence how to adjust the tolerances of a optical zoom lenses for considering the aberration and MTF simultaneously is the purpose of the study The optical design software Code V was assigned to design and analysis tolerance Taguchi Method Analysis-of-Variance (ANOVA) and tolerance allocation norms were applied to adjust the given tolerance Additionally the method of Robust Multi-Criteria Optimization (RMCO) was used to adjust tolerance of the specified aberration in consistent demand After the adjustment tolerances of some sensitive factors become narrow but their ranges are controlled in 20% and several of them are enlarged ranges from 10% to 100% The final results show that the specified aberration and the MTF are all match the requirement of the image quality The mean values and standard deviation are also significantly improve