利用以數學矩陣為基礎之三維光追跡技術模擬微型貓眼回射器

Abstract

在這篇論文中，我們提出了一個在三維空間中模擬進軸光學系統的方法，這方法是以傳統的ABCD光傳遞矩陣(ABCD ray transfer matrices)為基礎來建立。我們的模擬方法不需要繁瑣的繪圖，而且可以很簡單的藉由更改參數來改變各種條件，如被模擬元件的各個結構尺寸、光的入射角度以及材料的折射係數等。我們將這個模擬方法應用在模擬貓眼回射器的模型上，完整地研究了不同結構尺寸對於貓眼的表現，包括貓眼的回射效率、接受角度、回射光的發散以及回射光的偏移。

In this thesis, we propose a 3-D optical ray tracing simulation method for the paraxial optical system based on the traditional ABCD ray transfer matrices. Our method does not require the tedious drawing and can simply simulate different conditions by changing the parameter values, such as structure size of the components, the incident angle of light and the refractive index of materials. We use the tool to model the cat's eye retro-reflectors and present a complete study of the cat’s eye performance, including efficiency, acceptance angle, divergence and deviation of the beam.