本文為四百萬畫素DLP投影機在環境溫度10℃至80℃對熱的分析與校正之鏡頭設計，由十四片玻璃鏡片所組成，鏡頭焦距為24.06 mm，F/#為1.71，投影距離7.2 m，投影屏幕大小為200吋，並對電視畸變、橫向色差、相對照度之分析與探討。
本論文選用TI DLP660TE 0.66" DMD，考慮垂直方向DMD偏移 100%，其最大像高為11.038 mm。在設計的消熱差過程中先以室溫(22℃)的光學系統設計為開始，選用適當鏡片材料並改變鏡筒材料由金屬材料鋁改為塑膠材料PMMA，來達到消熱差的效果。在環境溫度10℃至80℃之鏡頭成像品質，其MTF(93 lp/mm)最大值可達到0.613；橫向色差絕對值最大值為1.390 μm，最小值為0.782 μm；光學畸變最大值為0.14670%；電視畸變最大值為0.06768%；相對照度達93.95%。
本論文所設計的光學系統為前投影系統，是由人眼觀測螢幕影像，而人眼鑑別率至少為1'，則人眼是否能夠判讀螢幕畫面的水平、垂直直線扭曲量、橫向色差，其鑑別率必須小於1'。本鏡頭設計在人眼至螢幕最小距離為250 mm(明視距離)，則水平直線鑑別率最大值為0.09'；垂直直線鑑別率最大值為0.07'；橫向色差鑑別率最大值為0.019'。

This paper is a lens design for analyzing and correcting the heat of a four-megapixel DLP projector at an ambient temperature of 10℃ to 80℃. It is composed of 14 glass lenses with a focal length of 24.06 mm, F/# is 1.71, projection distance of 7.2 meters, projection screen size of 200 inches, and TV distortion, lateral chromatic aberration, relative illumination for the analysis and discussion.
In this paper, we use TI DLP660TE 0.66" DMD. Considering the vertical DMD offset 100%, the maximum image height is 11.038 mm. In the process of designing the athermalization, the design of the optical system at room temperature (22℃) is used as the starting point. The proper lens material is selected and the material of the lens barrel is changed from the metal material aluminum to the plastic material PMMA to achieve the effect of eliminating heat difference. The image quality of the lens at the ambient temperature of 10℃ to 80℃ has a maximum MTF (93lp/mm) is 0.613; the maximum absolute value of the transverse chromatic aberration is 1.390 μm, and the minimum value is 0.782 μm; The maximum optical distortion is 0.14670%; the maximum TV distortion is 0.06768%; the relative is 93.95%.
This optical system is base on a front projection system, the human eye observes screen image, and the human eye resolving power at least 1', whether the human eye can interpret the horizontal, vertical linear distortion and lateral color of the screen, the resolving power must be less than 1'. The minimum distance between the human eye and the screen is 250 mm (bright distance), the maximum horizontal resolving power is 0.089523'; the maximum vertical resolving power is 0.070716'; the maximum lateral color resolving power is 0.019114'.

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