本論文主要是利用歪斜光線追蹤理論，分析光學系統各元件參數變化對光程的影響，並建構出一套數學模式，進而以此理論基礎求得整個光學系統之光程差。有別於以往光線追蹤法所使用之數值方法，本論文所提出之理論皆利用解析法推導，其運算效率將比傳統的數值方法更為快速。
　　文中介紹了歪斜光線追蹤法與靈敏度分析，而歪斜光線追蹤已是光學系統設計上最強而有力的工具之一，唯有正確的光線追蹤數據，才可使光學系統設計者得以準確地評估所設計的結果是否滿足設計需求，並做出正確的判斷與修正。因此，歪斜光線追蹤法與靈敏度分析，便成為探討光學元件參數變化對光路影響的利 器。
　　本論文依據歪斜光線追蹤理論，並引入梯度的計算。分別由單一邊界、入射點與折(反)射方向、單一透鏡、折射率及鏡面曲率半徑，逐步分析各參數對光程的影響，並建構出一套新的光程與光程差的數學理論。

　　The purpose of this paper is to analyze the variations of the parameters of components which affect the optical system by using ray tracing theory, and then we construct a mathematical model that can calculate optical path faster. And This analytic method's operating efficiency is more well than the numerical method of the traditional ray tracing theory.
　　This paper also includes the introduction of ray tracing method and sensitivity. Ray tracing theory is a powerful tool for optical system design. Only the correct ray tracing data can let designer know whether the results are satisfied or not, and than designer can make proper decision and modification. So, ray tracing theory and sensitivity analysis become good tools for calculating the effect of the parameter’s variations of optical system.
　　This method is based on ray tracing theory, and it also imports the calculation of gradient. From the single boundary, the incident point and the direction of refraction (reflection), the single prism, refractive index and prism’s radius, we analyze the effect of the parameters step by step. And then, we develop a new mathematical model for computing optical path and optical path difference.

1. 廖德潭,雙照相機立體成像系統的建模與分析 (Analysis and
Modeling of Two-CCD Camera Stereo Vision System),成功大學機械工程研究所博士論文，中華民國九十二年一月。

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