八百萬畫素十二倍光學變焦潛望鏡式手機鏡頭設計

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紀鈞瑋(Jiun-Wei Jih) 查詢紙本館藏

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光電科學與工程學系

論文名稱

八百萬畫素十二倍光學變焦潛望鏡式手機鏡頭設計

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摘要(中)

本論文提出一種八百萬畫素十二倍光學變焦潛望鏡式手機鏡頭設計，為四群鏡組設計，其中第一群固定有三片鏡片與一個直角稜鏡，第二群有四片鏡片，第三群有三片鏡片，第四群有兩片鏡片。光學系統初階設計為f = 4 mm ~ 48 mm，半視角為30 ~ 2.755，F/# = 3 ~ 5.6，光學系統厚度為12 mm，長度為67.1 mm。
本光學系統將焦距分為五段並且加以分析，分別為Zoom1(4 mm)、Zoom2(15 mm)、Zoom3(26 mm)、Zoom4(37 mm)、Zoom5(48 mm)。當Zoom1的F/#為3，最大空間頻率為118 lp/mm，其MTF最小值為0.508。當Zoom2的F/#為3.65，最大空間頻率為97 lp/mm，其MTF最小值為0.578。當Zoom3的F/#為4.3，最大空間頻率為82 lp/mm，其MTF最小值為0.568。當Zoom4的F/#為4.95，最大空間頻率為71 lp/mm，其MTF最小值為0.605。當Zoom5的F/#為5.6，最大空間頻率為63 lp/mm，其MTF最小值為0.535。Zoom1到Zoom5的切向MTF與徑向MTF最大值差異為4.1%，發生在Zoom1焦段。Zoom1到Zoom5的光學畸變最大值為-1.999%，發生在Zoom1焦段。Zoom1到Zoom5的橫向色差最大值在3.9 μm，發生在Zoom1焦段。Zoom1到Zoom5的相對照度最小值為60.834%，發生在Zoom1焦段。

摘要(英)

In this thesis presents a periscope type of twelve times zoom lens for eight mega pixel mobile phone camera. The zoom lens has four groups. The first group of zoom lens that has three piece of lenses and a right angle prism is fixed. The second group of zoom lens has four piece of lenses. The third group of zoom lens has three piece of lenses. The fourth group of zoom lens has two piece of lenses. The zoom lens has a half field of view of 30o to 2.7552o, a focal length range of 4 mm to 48 mm, a F/# of 3 to 5.6, the thickness of 12 mm and the total length of 67.1 mm.
In this zoom lens, we divided five segment analysis depend on effective focal length. The effective focal length is 4 mm, 15 mm, 26 mm, 37 mm, 48 mm. The F/# of Zoom1 is 3, and the minimum MTF is 0.508 at 118 lp/mm in Zoom1. The F/# of Zoom2 is 3.65, and the minimum MTF is 0.578 at 97 lp/mm in Zoom2. The F/# of Zoom3 is 4.3, and the minimum MTF is 0.568 at 82 lp/mm in Zoom3. The F/# of Zoom4 is 4.95, and the minimum MTF is 0.605 at 71 lp/mm in Zoom4. The F/# of Zoom5 is 5.6, and the minimum MTF is 0.535 at 63 lp/mm in Zoom5. The maximum absolute value of the difference between the tangential MTF and sagittal MTF is 4.1% in Zoom1. The maximum value of the optical distortion is -1.999% in Zoom1. The maximum value of the lateral color is 3.9 μm in Zoom1. The minimum value of the relative illumination is 60.834% in Zoom1.

關鍵字(中)

★ 光學變焦
★ 潛望鏡式
★ 直角稜鏡

關鍵字(英)

★ Optical zoom
★ Periscope type
★ Right angle prism

論文目次

摘要 I
Abstract II
致謝 III
目錄 IV
圖目錄 VIII
表目錄 XIII
第一章緒論 1
1-1 研究背景 1
1-2 研究動機 2
1-3 研究目的 3
1-4 文獻回顧 4
1-5 章節概要 26
第二章基本原理介紹 28
2-1 直角稜鏡與Tunnel Diagram 28
2-2 F/# 29
2-3 半視角、像高、有效焦距關係 30
2-4 非球面方程式 31
2-5 像方主光線角度(Chief ray angle in image space) 33
2-6 艾里斑(Airy disk) 34
2-8 成像品質介紹 35
2-8-1 MTF 35
2-8-2 橫向色差(Lateral color) 37
2-8-3 畸變(Distortion) 38
2-8-4 相對照度(Relative illumination) 39
第三章潛望鏡式鏡頭設計 41
3-1 設計導論 41
3-2 設計規格與目標值 43
3-2-1 Sensor選擇 43
3-2-2 變倍比 44
3-2-3 像高、半視角、焦距計算 44
3-2-4 F/#訂定 45
3-2-5 MTF規範 45
3-2-6 |SMTF – TMTF| 46
3-2-7 橫向色差 46
3-2-8 光學畸變 47
3-2-9 電視畸變 47
3-2-10 相對照度 47
3-2-11 鏡頭長度 47
3-2-12 鏡頭厚度 47
3-2-13 像方主光線角度 48
3-2-14 波長選擇與權重 48
3-2-15 鏡片製造技術 48
3-3 設計規格目標值 50
3-4 起始值選取 51
3-5 優化設計過程 53
第四章設計結果與討論 61
4-1 成像品質分析 65
4-2 畸變分析 68
4-3 橫向色差分析 71
4-4 相對照度分析 74
4-5 像方主光線分析 75
4-6 定心係數分析 76
4-7 設計結果整理 77
第五章公差分析 78
5-1 公差介紹 78
5-2 公差分類 78
5-3 公差容忍度 80
5-4 公差分析流程 81
5-5 公差結果與討論 83
第六章結論與未來展望 90
參考文獻 92

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指導教授

孫文信

審核日期

2016-8-3

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