太陽光的利用，對於節約能源而言，是相當有幫助的。為了達到此目的，許多不同利用太陽光的方法已提出，包括稜鏡系統。大部分的稜鏡系統，都是裝在窗戶的內側或外側，做遮陽或改變陽光方向作室內照明之用途。雖然這些系統可以改變太陽光之方向，但對於建築深處之房間，仍無法照明。而建築深處房間之照明對於節能卻是相當重要的。因此，本論文之主要目的為設計一新型集光系統，能裝置於屋頂做集光的動作，且將光導至深處之房間。本系統由數個稜鏡柱所組成，每個稜鏡柱皆包含一個凸圓柱面、一個凹圓柱面以及一個普通鏡面。此稜鏡柱之主要功能，是將一端入射之水平光束，壓縮成較細之光束。此外，我們也提出了一數學模型來模述此稜鏡柱結構，藉此討論光線穿透稜鏡柱之情形。利用此數學模型，我們可以得到數組優化之結果，此外，我們也利用軟體OSLO中之優化功能來驗証此數學模型。另一套光學軟體TracePro則模擬優化後各組稜鏡系統之表現。

The utilization of sunlight is very helpful to saving resources. Different approaches were used for that purpose, including prismatic systems. Most prismatic systems were positioned in window pane for solar shading and redirection of sunlight. Although these systems could redirect sunlight, they can not illuminate the depth of the room. But the illumination of the deeper room is also very helpful to sunlight utilization. Therefore, the primary idea of this paper is to design a new light collection system which can collect sunlight from roof for indoor illumination. The system is composed of several prismatic cylinders. Each cylinder includes a convex surface and a concave surface, and the system could be positioned on roof. The main function of this cylinder is that when a bundle of horizontal light are incident on convex side, the light beam could be condensed on concave side. Meanwhile, the output light is as horizontal as possible, so that the output light could be incident on the next cylinder. Besides, we develop a mathematical model to describe our prismatic system. The behavior of a light ray through this cylinder is discussed in this model. Some optimized results are found by this model, and the shape of the cylinder is decided by these results. Optical simulation software OSLO has many functions of optimization, and one of them is used to verify our mathematical model. Another software TracePro is used to simulate the performance of our prismatic system.

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