臺灣博碩士論文加值系統

在這篇研究中，投射比0.23和整體長度195 mm的超短焦頭影鏡頭被設計出來。超短焦頭影鏡頭的光學元件可以分為兩個部分，第一部分為折反射式投影透鏡(CPL)，折反射式的特徵可以讓投影鏡頭同時達到超短焦、短的整體長度和減少透鏡顆數的功能。第二部份是準直透鏡，準直透鏡具有產生遠心和均勻全反射的能力。在這次的設計中，有效焦距-1.96 mm和F/#為2.4的超短焦投影鏡頭被我們設計完成。方均根光斑尺寸和橫向色差都被我們控制在一個像素位元之內，-0.95%的最大光學失真和0.3%的電視失真是可以被接受的。在影像品質方面，調節轉換函數(Modulation Transfer Function，簡稱MTF)在0.245 line pairs/mm時可以達到0.65以上，甚至在考慮公差分析的情況下，調節轉換函數仍然可以達到0.3以上。在投影系統的應用中，本篇論文題出的超短焦頭影鏡頭是適合被研究的。

In this paper, we present a design for an ultrashort throw (UST) lens with a throw ratio of 0.23 and a total track of 195 mm. The optical elements of the UST lens are comprised of two parts. First, a catadioptric projection lens (CPL) where the catadioptric function permits reaching an ultrashort throw ratio, short total track, while at the same time requiring fewer lens elements. The second part is a collimating lens which takes advantage of the telecentric condition to generate uniform total internal reflection (TIR) in the TIR prism. With this design, an effective focal length of -1.96 mm and a f-number of 2.4 can be obtained. The root mean square (RMS) spot size and lateral color of all fields are smaller than one pixel in size. The maximum optical distortion of -0.95% and TV distortion of 0.3% are acceptable. In terms of image quality, the modulation transfer function (MTF) values for all fields are above 0.65 at 0.245 line pairs/mm. Even when the tolerance error is considered, the MTF values for all fields are still above 0.3. The suitability of the novel UST lens design for projection applications is discussed.

Abstract (in Chinese) i
Abstract ii
Acknowledgement (in Chinese) iii
Contents iv
List of Tables vi
List of Figures vii
List of Items xi
Chapter 1 Introduction 1
1-1 Preface 1
1-2 Motivation 2
Chapter 2 Basic Feature of Optics 5
2-1 Throw ratio and imaging area 5
2-2 Aberration 7
2-2-1 Spherical aberration 7
2-2-2 Coma 8
2-2-3 Astigmatism and field curvature 9
2-2-4 Distortion 10
2-2-5 Television distortion 11
2-2-6 Chromatic aberration 12
Chapter 3 Design concept and specifications for the novel UST lens 13
3-1 Design concept for the UST lens 14
3-2 UST lens specifications 17
Chapter 4 First order optics for UST lens 17
4-1 Calculation of first order specification 18
4-1-1 Object height 18
4-1-2 F/# 18
4-1-3 Screen size and magnification 18
4-1-4 Effective focal length 19
4-2 Optimization of first order optics 19
4-3 Tunnel diagram of first order optics 20
Chapter 5 Optical design and performance analysis for UST lens 22
5-1 Optical design and layout of the UST lens 22
5-2 Optical performance 26
5-2-1 Modulation transfer function 26
5-2-2 Spot size diagram 28
5-2-3 Grid distortion plot 29
5-2-4 Lateral color diagram 31
5-2-5 Image simulation 32
Chapter 6 Tolerance analysis of the UST lens 33
Chapter 7 Comparison 51
7-1 Optical specification comparison 53
7-2 Optical efficiency comparison 53
Chapter 8 Conclusion 55
Chapter 9 Future work 56
Reference 57

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