本研究將太陽光譜分光成22波段,利用幾何光學之方程式,結合透鏡材料之光學性質,導證出一曲面式Fresnel透鏡折光模式,此模式能接受任何不違背光學原理的設計參數,並依之計算Fresnel透鏡之上每一菱鏡之稜鏡角及其個別折光角度,模擬之結果以現已發表之數據做驗證,其準確度較現有之數值模式有顯著提高,以這些計算值來設計折射平行入射光束於一焦點之曲面式Fresnel透鏡,可以減少製程中的試誤過程。
While the problem of arriving at an equation of curvature for a Fresnel lens such that each facet making up the lens fulfills the condition of maximum transmission and focuses in the desired plane has previously only been solved by numerical approximation, this paper investigates and presents the formulation of the curve based Fresnel lens system with optical geometry. The design equations of such lens were incorporated with solar radiation spectrum and the refractive indices of lens materials and written into a computerized model. The validated model than is used to analyze the chromatic aberration of each of 22 spectral increments and show clearer details about the solar spectrum distribution under the Fresnel lens concentrator.