本論文旨在設計出微型化且有高影像品質的五十度視角準直鏡頭，並分析其中相關之幾何光學理論。本文選用0.32"的OLED面板，解析度為800×600，像素尺寸為8.1 μm，對應62 lp/mm。本研究設計的準直鏡頭特點為體積小於1 c.c.的同時，能維持其MTF在62 lp/mm 時大於0.78，在250 lp/mm時大於0.33。而且光學畸變小於0.11%，電視畸變與橫向色差皆小於人眼的分辨率1角分，相對照度達到65%以上。因為有一定的影像品質，同時也有把光線準直化、體積小的性質，所以此鏡頭適用於AR系統，讓使用者能長時間觀看清晰的影像，又不會因為其體積而造成配戴上的負擔。 本論文的設計由四片非球面透鏡以及一片平板保護玻璃組成。四片非球面透鏡可使用塑膠或玻璃製造，而在公差範圍內分別可達到的極限解像度，在220 lp/mm時大於0.110，對應像素尺寸為2.273 μm；玻璃版本則是在260 lp/mm時大於0.105，對應像素尺寸為1.923 μm。因此，在對解析度要求不高的情況下塑膠版本成本較低，而在高空間頻率上有要求的情況下，則玻璃版本的公差控制成本較低。另外，塑膠和玻璃兩個版本的準直鏡頭皆適用於對角半長度為4.05 mm的4：3和16：9面板。;This study aims to design a miniaturized collimating lens with a 50-degree field of view and high image quality， and to analyze the relevant theories of geometrical optics. In this study， a 0.32" OLED microdisplay with an 800×600 resolution and a pixel size of 8.1 μm (corresponding to 62 lp/mm) was chosen. The collimating lens designed in this study features a compact volume of less than 1 c.c. while maintaining a MTF of over 0.78 at 62 lp/mm and over 0.33 at 250 lp/mm. Furthermore， the optical distortion is less than 0.11%， both TV distortion and lateral chromatic aberration are within the human eye′s resolution limit of 1 arcminute， and the relative illumination exceeds 65%. Combining high image quality， light collimation， and a compact form factor， this lens is highly suitable for AR systems， allowing users to view clear images for extended periods without bearing a heavy wearing burden due to its size. The design consists of 4 aspherical lenses and a flat glass plate. The 4 aspherical lenses can be manufactured using either plastic or glass. Within tolerance limits， the resolution limit for the plastic version exceeds 0.110 at 220 lp/mm， corresponding to a pixel size of 2.273 μm. For the glass version， the limit exceeds 0.105 at 260 lp/mm， corresponding to a pixel size of 1.923 μm. Consequently， the plastic version offers a lower manufacturing cost when resolution requirements are modest， whereas the glass version provides a lower tolerance control cost for applications demanding high spatial frequencies. Additionally， both the plastic and glass versions of the collimating lens are compatible with 4:3 and 16:9 microdisplays with a diagonal half-length of 4.05 mm.
