本論文提出一可用於成像品質分析之折射式費耐爾透鏡設計與優化流程，基於系統結構限制與成像品質之要求量身定做，解決以購買現成規格之費耐爾透鏡套用至系統，卻不一定完全符合使用需求的窘境。本論文同時也以純量繞射理論為基礎，開發出一繞射式費耐爾透鏡分析程式，此程式可計算出系統的點擴散函數 (Point Spread Function) 與調制穿透函數 (Modulation Transfer Function)，並能依照真實情況，建立成像系統的感光元件的像素尺寸及分佈資訊，計算與分析出各個像素上的能量比。

In this thesis, we proposed a process of design, analysis and optimization of an imaging system using refractive Fresnel lens. The advantage is that the lens can be customized according to the limitations of the system and the requirements of the image quality. The proposed process aims to avoid a common problem that customers cannot put a suitable ready-made Fresnel lens into their system.
We also developed an optical analysis program for diffractive Fresnel lens based on the scalar diffraction theory. The program can effectively calculate and simulate Point Spread Function (PSF) and Modulation Transfer Function (MTF) of system. According to the information of pixel size and pixel distribution on the sensor, the proposed program can also calculate and analyze the energy distribution on each pixel.

[1] 林苡任，菲涅爾透鏡之光學設計與精密成形，國立高雄應用科技大學模具工程系碩士倫文，中華民國九十八年。
[2] 林哲玄，薄型化光展量疊加太陽能及光器，國立中央大學光電所碩士論文，中華民國一百零一年。
[3] Dan-ying Tang, Xiang-ning Li, eng-qian Yang, Ming-kai Yu, “Aberration comparison of biconvex and plane-convex Fresnel lenses,” Applied Optics 29 (2008).
[4] 李宗昇，低解析度紅外線影像系統之家庭保全應用，國立交通大學光電所博士論文，中華民國八十八年。
[5] 龍定華，焦電型紅外線感應器的光學系統模擬，國立中央大學光電所碩士論文，中華民國一百零一年。
[6] 孫慶成，光電工程概論 (全華書局，2012)。
[7] Virendra N. Mahajan, Aberration Theory Made Simple (SPIE Press, 1991).
[8] Virendra N. Mahajan, 孫慶成，馬仕信，陳志宏，李宣皓等人譯，像差光學概論 (五南書局，2014)。
[9] 瑞光生醫, http://www.vision-renu.com/index.php?node=analyze&content_id=18 .
[10] Edmund Optics Website, 成像資源指南第4.4部分,
https://www.edmundoptics.com.tw/resources/application-notes/imaging/distortion/ .
[11] J. W. Goodman, Introduction to Fourier Optics (Roberts & Company, Third Edition, 2004).
[12] A. Sommerfeld, Optics (Lectures on Theoretical Physics) (Academic Press, Inc., New York, 1954).
[13] Donald C, O'Shea, Thomas J. Suleski, Alan D. Kathman, Dennis W. Prather, Diffractive optics : design, fabrication, and test (SPIE Press, 2004).
[14] E. Hecht, Optics, 4th edition (Addison-Wesley, 2002).
[15] P. Lorrain and D. Corson, Electromagnetic Fields and Waves, 3rd edition (W. H. Freeman, San Francisco, 1988).
[16] Edmund Optics Website, 成像資源指南第3.2部分,
https://www.edmundoptics.com.tw/resources/application-notes/imaging/modulation-transfer-function-mtf-and-mtf-curves/ .
[17] Edmund Optics Website, 成像資源指南第2.6部分,
https://www.edmundoptics.com.tw/resources/application-notes/imaging/lens-performance-curves/ .
[18] 駱志龍，Fresnel透鏡設計及應用，國立中央大學光電所碩士論文，中華民國九十年。
[19] Merton C. Flom, Anthony J. Adams, “Fresnel Optics,” Multimedia Communications Center, School of Optometry, University of California, Berkley.
[20] R Nave, “Fresnel lens”, Hyper Physics, Department of Physics and Astronomy, Georgia State University.
[21] 蔡國銘、吳家進，“超精密加工參數之探討”，國立勤益技術學院精密機械與製造科技研究所。
[22] 高道鋼，超精密加工技術 (全華科技圖書，2001)。
[23] 陳政雄， “超精密奈米加工技術之進展、應用與未來趨勢”，機械月刊，第27卷，第8期，pp338-352 (2001)。
[24] Max J. Riedl, Optical Design Fundamentals for Infrared Systems, Second Edition (SPIE Press, 2001).
[25] James W. Horwitz, “Infrared refractive index of polyethylene and a polyethylene-based material,” Optical Engineering Volume 50, Issue 9.
[26] Herbert Gross, “Design and Correction of Optical Systems,” Friedrich-Schiller-University Jena.
[27] Keith Henney, Beverly Dudley, Handbook of Photography (Whittlesey House McGraw-Hill Book Company, 1939).
[28] Gregory Hallock Smith, Practical Computer-Aided Lens Design (Willmann-Bell, Inc. 1998).
[29] Daniel Malacara, Zacarias Malacara, Handbook of Optical Design (Marcel Uekker, Inc. 2004).
[30] Joseph M. Geary, Introduction to Lens Design : with Practical Zemax Examples (Willmann-Bell, 2002).
[31] W. J. Smith, R. E. Fischer, Practical optical system layout and use of stock lenses (McGraw-Hill, 1997 ).
[32] 劉俊宏, 余浩澐, 蔡坤諭， “讓摩爾定律成真的關鍵：微影技術 — 影響七十億以上個未來”，台大電機系科普期刊。