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  • 學位論文

變焦光學鏡頭設計之高斯分析

Gaussian Analysis of Zoom Lens Design

指導教授 : 陳榮燊
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摘要


數位相機的發展日新月異,它的解析度及像素的數目也快速的提升,而近年來因著加工技術的創新,其鏡頭從原來的定焦發展出變焦系統。首先我們將系統中的透鏡分為兩群,即所謂的二鏡組設計方法來找到變焦系統的高斯解,接著分析三種狀態的三鏡組高斯解,並輔以四鏡組的高斯解,從分析的過程,吾人得知原先複雜的高斯鏡組解,因為電腦輔助的便利,我們可以快速的依據不同的「規格」需求,得到高斯初階設計。本文最後以四群組成、二群移動的透鏡組為例;首先取得光學變焦的廣角結構,進而因F/#、視角(Field of View)等參數的變化,用光扇狀圖(Ray Fan Plot,RFP)、和調制傳遞函數圖(Modulation Transfer Function, MTF)等像質評估工具來分析因鏡組的移動所產生的中間組態、及望遠組態選的成像品質,由此看出光學變焦設計的最終結果。

關鍵字

解析度 像素 像差 光學變焦

並列摘要


Cell phone cameras change very fast during last few years. The resolution and pixels number of Cell phone camera are increased rapidly. As the innovation of manufacture capability of Cell phone camera, the lens system was developed from fixed focal length to changeable focal length (Zoom lens).First we found a Gaussian solution of the zoom system with so-called two-optical-component method, in which the lenses in the system are divided into two groups. Then analyzing three conditions of three-optical Gaussian solution;I also use four-optical Gaussian solution to assist this. From the procedure of analyzing these, I get the information that people who use the original and complicated Gaussian solution can quickly get the basic design of Gaussian according to different needs of “ specifications” because of the convenience what computers brought. Next the introduction of wide angle configuration of four groups zoom lens zoom lens system. By changing F/# and field of angle accompanied with moving the two groups lens of zoom lens system, we get the middle and telephoto configurations of four groups zoom lens. The image quality was evaluated by RFP, and MTF, from above, I can see the final outcomes of Optical Zoom Lenses Design.

並列關鍵字

Resolution Pixel Aberration Optical Zoom Lenses

參考文獻


[4]S. C. Park and K. B. Kim, “Video camera zoom lens design using lens modules”, Pro. SPIE Vol. 2539, pp. 192, 1995.
[5]K. Tanaka, “Paraxial analysis of mechanically compensated zoom lenses four-component type”, App. Opt., Vol. 21, No. 12, pp. 2174, 1982.
[6]T. ChunKan, “Design of zoom system by the varifocal differential equation.”, App. Opt., Vol. 31, No.13, pp. 2265, 1992.
[9] K. Yamaji, “Design of zoom lenses, ” Progress in Optics, Vol.VI,pp. 105-170, Wiley,New York,1967.
[10] E. Betensky, “Zoom lens principles and types, ”SPIE Crtical Review, Vol.CR41, pp. 88-116,1992.

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