本論文提出三種設計分別為潛望鏡式八百萬畫素三倍、六倍、九倍光學變焦手機鏡頭，潛望鏡式鏡頭為在鏡頭前放置一直角稜鏡，可使光路轉90度方向；當稜鏡厚度與鏡頭口徑小於手機機構厚度，可使潛望鏡式變焦鏡頭裝置於手機機構內。三倍變焦初階設計為f = 4.34 mm ~ 13.03 mm，半視角為28 ~ 10，F/# = 2.8 ~ 7.5，整體系統厚度為6.15 mm，長度為32.21 mm；六倍變焦初階設計為f = 4.34 mm ~ 26.03 mm，半視角為28 ~ 5，F/# = 3.5 ~ 7.5，光學系統厚度為8 mm，長度為50.95 mm；九倍變焦初階設計為f = 4.34 mm ~ 39.05 mm，半視角為28 ~ 3.4，F/# = 3.5 ~ 7.5，光學系統厚度為10 mm，長度為61.58 mm。
分析sensor 4:3與16:9時稜鏡厚度、鏡片口徑、整體系統厚度，分別對三倍、六倍、九倍變焦鏡頭設計的影響。

This thesis presents three designs, including 3X, 6X, 9X periscope type zoom lens for eight mega pixels mobile phone cameras. A Periscope type lens system namely put a right angle prism in front of the lens system, which makes optical axis tilt 90 dgrees. If the thickenss of the prism and the aperture of lens in periscope type zoom lens are both smaller than the mechanism thinkenss of a mobile phone, periscope type zoom lens will be able to set inside a mobile phone. The preliminary specifications of 3X zoom lens design are as follows: a focal length range of 4.34 mm to 13.03 mm, a half field of view range of 28o to 10o, a F/# range of 2.8 to 7.5, 6.15 mm in thickness and 32.21 mm in total length. The preliminary specifications of 6X zoom lens design are as follows: a focal length range of 4.34 mm to 26.03 mm, a half field of view range of 28o to 5o, a F/# range of 3.5 to 7.5, 8 mm in thickness and 50.95 mm in total length. The preliminary specifications of 9X zoom lens design are as follows: a focal length range of 4.34 mm to 39.05 mm, a half field of view range of 28o to 3.4o, a F/# range of 3.5 to 7.5, 10 mm in thickness and 61.58 mm in total length.
This thesis also analyzes the influence in the thickness of prism, the aperture of lens, the thickenss of whole system for 3X, 6X, 9X periscope type zoom lens respectively when the size ratio of sessor in 4:3 is replaced by 16:9.

[1]紀鈞瑋，「八百萬畫素十二倍光學變焦潛望鏡式手機鏡頭設計」，國立中央大學，碩士論文(2016)。
[2]D. V. Wick, T. Martinez, D. M. Payne, W. C. Sweatt, and S. R. Restaino, “Active optical zoom system,” Proc. SPIE 5798, 151-157 (2005).
[3]K. Matsusaka, S. Ozawa, R. Yoshida, T. Yuasa and Y. Souma, “Ultracompact optical zoom lens for mobile phone,” Proc. SPIE 6502, 1-10 (2007).
[4]S. C. Park and Y. J. Jo, “Ultra-slim zoom lens design for a 3X mobile camera,” J. Korean Phys. Soc. 52, 1048-1056 (2008).
[5]S. C. Park, S. H. Lee, and J. G. Kim, “Compact zoom lens design for a 5X mobile camera using prism,” J. Opt. Soc. Korea 13, 206-212 (2009).
[6]S. C. Park and S. H. Lee, “Zoom lens design for a 10X Slim Camera using Sucessive Procedures,” J. Opt. Soc. Korea 17, 518-524 (2013).
[7]appft.uspto.gov/netahtml/PTO/search-bool.html
[8]https://www.dpreview.com/files/p/articles/8089991700/Images/asp/AR.jpeg
[9]W. S. Sun, C. L. Tien, J. W. Pan, K. C. Huang, P. Y. Chu, “Simulation of autofocus lens design for a cell phone camera with object distance from infinity to 9.754 mm,” Appl. Opt. 54, E203-E209 (2015).
[10]“code V Reference Manual,” Optical Research Associates.
[11]W. S. Sun, T. X. Lee, C. C. Sun, C. H. Lin and C. Y. Chen, “Design of miniature HD-DVD optical pick-up head using a Penta prism,” J. Mod. Opt. 52(5), 775-789 (2005).
[12]牟益弘，「三百萬畫素二點七五倍光學變焦手機鏡頭設計」，國立中央大學，碩士論文(2008)。
[13]孫文信，「光學系統設計」，中央大學光電科學與工程學系 (2015)。
[14]W. S. Sun, C. L. Tien, Y.-H. Chen, K. C. Huang, P. Y. Chu, “Ultra-wide angle lens design with relative illumination analysis,” J.Eur. Opt. Soc.-Rapid 11, 16001 (2016)
[15]朱浦毅，「稜鏡陣列立體拍攝系統優化設計」，國立中央大學，碩士論文(2008)。
[16]Micro lens，http://goo.gl/Y5SbSM ..
[17]孫文信，「高等光學設計」，中央大學光電科學與工程學系 (2016)。
[18]“IMX219PQH-5”, Sony (2015).
[19]M. Saori, “Zoom lens system,” U.S. patent2012/0063004 (2012).
[20]N. Miyazawa, “Zoom lens and image pickup device including the same,” U.S. patent 2014/0293438 (2014).
[21]R. R. Shannon, “Tolerancing Technique,” in Handbook of Optics I, chap. 36, McGraw-Hill (2009).
[22]林永昌，「新型變焦鏡頭設計」，國立中央大學光電科學研究所，碩士論文(2001)
[23]J. M. Palmer, “The Art of Radiometry,” SPIE PRESS (1998)