本論文的主要目的是研究焦電型紅外線感應器的光學系統模擬，其中主要是使用TracePro光學模擬軟體，來對焦電型紅外線感應器的光學元件作設計與分析，並以優化產品的感應距離為設計目標。
第一章主要是介紹紅外線的歷史及應用情形，第二章為紅外線理論及焦電型紅外線感應器的簡介。第三章則利用田口實驗計畫法及模擬軟體TracePro來做實驗分析，田口實驗計畫法在參數設計方面將建立設計參數的最佳的組合，採用塑膠透鏡材質、透鏡面積、透鏡焦距、Fresnel透鏡條紋間距、透鏡瞄準位置及透鏡厚度等六個可控制因子，並採用五個水準做參數設計，以提高人體紅外線聚焦在感應器視窗之輻射照度。
　　田口實驗計畫法Ｌ25(56)的直交表設定各項參數，利用TracePro光學模擬軟體進行模擬，並取得25組模擬結果，再將模擬結果利用直交表計算，使用直交表的設計和變異數的分析，找出製程中主要效應分子為何，以及各因子間交互關係對回應值的最佳化，將可有效減少模擬次數，將原本六因子五水準需做15625次模擬簡化為25次，讓設計者可以在較短的時間內得到較佳的設計參數。
　　原本未經田口實驗計畫法優化的感應器光學系統之設計，經TracePro模擬可得該狀況之輻射照度(Irradiance)為14.613 W/m2；田口實驗計畫法計算後，預測最佳設計參數狀況之輻射照度為52.797 W/m2，輻射照度獲得明顯提升。

The main purpose of this paper is the study of the pyroelectric infrared sensor of the optical system simulation, which is using TracePro optical simulation software, to focus electrical type infrared sensors，optical components for the design and analysis, and to optimize the sensing range of products design goals. The first chapter is to introduce the history and circumstances of the infrared，the second chapter is an introduction to infrared theory and pyroelectric infrared sensor. Chapter III of the Taguchi method and simulation software, TracePro to do experimental analysis will establish the best combination of design parameters, the Taguchi method in the parameter design, the use of plastic lens material, lens size, lens focal length, Fresnel lens fringe spacing, lens aimed at the location and lens thickness of six control factors and the five standards of parameter design, and focus to improve the human infrared sensor window irradiance.Orthogonal array of Taguchi method L25 (56) set the parameters to use tracepro optical simulation software to simulate, and has made 25 sets of simulation results, and then simulation results using orthogonal array calculated using the orthogonal array design and variance analysis to find out why the major effector molecules in the process, as well as interactions between each factor on the response to the value of optimization, can effectively reduce the number of simulations, the original six factors, five standards to be done to the 15 625 simulated simplified to 25, so that the design in a short period of time to get better design parameters.Without the original design of the Taguchi method to optimize the sensor optical system, by TracePro simulation of the status of the radiation intensity (Irradiance) 14.613 W/m2; Taguchi method, to predict the status of best design parameters illumination of the radiation to 52.797 W/m2 irradiance be improved significantly.

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