摘要本論文就是探討一種優化變焦系統凸輪軌跡的方法,藉由鏡群位移量除以焦距變化量之值來控制光學變焦軌跡,避免軌跡變化過程中有極值,使變焦軌跡能更平順以減少生產上的困擾。我們利用上述方法編寫Code V巨集程式與Code V優化程序結合,使我們在執行優化時不但能達到成像品質的要求同時也兼顧軌跡形狀,為驗證優化方法的效果,我們做了幾個簡單的例子當作範例,並且在最後利用此方式來設計一顆七群三倍變焦鏡頭,半視角從15.3°~39.8°,並展示最後優化之結果。In this study, we will introduce a design method for controlling the zoom curve of the zoom lens by using the position of lens group of effect focal length differential. It can make the zoom curve smoother or easier to manufacture. We give some simple examples, and finally we design a 3X zoom and seven-group zoom lens which a half of field of view from 15.3 degree to 39.8 degree, by using the Code V and this optimization method, and show the result.