使用Matlab計算與分析 色差和像差在三片透鏡最佳值設計

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題名:	使用Matlab計算與分析色差和像差在三片透鏡最佳值設計
作者:	林胤彣 LIN, YIN-WEN
貢獻者:	光電科學與工程學系
關鍵詞:	Matlab;三片鏡組;優化程式;賽德像差;三階像差;Matlab;Matlab, triplet;optimization program;third-order aberration;Seidel aberration
日期:	2022-08-23
上傳時間:	2022-10-04 13:06:10 (UTC+8)
出版者:	國立中央大學
摘要:	本文提出使用 Matlab 計算三片透鏡最佳值設計，首先針對縱向色差做校正，使用三片薄透鏡玻璃材料選擇來校正縱向一次與二次色差，接著新增兩段波長來校正五段波長之縱向色差並利用透過三片透鏡材料之Vd - PdC圖以及PAB - PdC圖能夠快速地尋找三片透鏡色差較小之組合，稱之視圖法，得到縱向色差最佳校正之三片透鏡材料組合；其次推導三片厚透鏡之三階像差公式，並計算以阻尼最小二乘法之方法對三階球面像差、三階彗星像差、三階斜射像散進行優化校正並以Matlab程式語言自寫像差優化程式，利用三片厚透鏡折光率與形狀因子，固定三片透鏡組合之折光率並透過探討三階像差數值對真實像差的影響控制三片厚透鏡之三階球面像差、三階彗星像差、三階斜射像散，來校正其真實像差並與Kingslake三片透鏡設計進行成像品質之比較可得三片厚透鏡組最佳值設計。接著將視圖法之概念與三階像差優化之方法結合設計一30萬畫素之數位相機鏡頭設計為實例。;This paper proposes to use Matlab to calculate the optimal value design of triplet lens. First, correct the longitudinal chromatic aberration, use three thin lens glass materials to correct the longitudinal primary and secondary chromatic aberration, and then add two wavelengths to correct the longitudinal chromatic aberration of five wavelengths. Chromatic aberration and using the Vd - PdC diagram and the PAB - PdC diagram through the three lens materials can quickly find the combination of the three lenses with smaller chromatic aberration, which is called the illustration method, and obtain the three lens material combination with the best correction of longitudinal chromatic aberration; secondly Derive the formula of third-order aberration of triplet lens, and calculate the optimal correction of third-order spherical aberration, third-order coma aberration, third-order oblique astigmatism by means of damped least squares method, and use Matlab programming language The aberration optimization program uses the refractive index and shape factor of the triplet lens to fix the refractive index of the combination of the three lenses, and controls the third-order spherical aberration, the third-order spherical aberration, and the third-order spherical aberration of the three thick lenses by exploring the influence of the third-order aberration value on the real aberration. First-order coma aberration, third-order oblique astigmatism, to correct its real aberration and compare the image quality with the Kingslake triplet lens design to obtain the optimal design of the three-piece thick lens group. Then, the concept of the illustration method and the method of third-order aberration optimization are used to design a 300,000-pixel digital camera lens as an example.
顯示於類別:	[光電科學研究所] 博碩士論文

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