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dc.contributor.author蔡玉麟zh_TW
dc.contributor.author田仲豪zh_TW
dc.contributor.authorTsai, Yu-Linen_US
dc.contributor.authorTien,Chung-Haoen_US
dc.date.accessioned2018-01-24T07:43:24Z-
dc.date.available2018-01-24T07:43:24Z-
dc.date.issued2016en_US
dc.identifier.urihttp://etd.lib.nctu.edu.tw/cdrfb3/record/nctu/#GT079924824en_US
dc.identifier.urihttp://hdl.handle.net/11536/143388-
dc.description.abstract在本篇論文中,我們提出了自由型曲面的數學模型,其所描繪出的光學曲面能重新分配由同調光源發出的光通量並達到預設的光強度分布。數學模型建立在能量守恆以及基本光追跡定理之上,並提出類平面假設在區域座標系統下,可由一非線性偏微分方程描述此能量傳遞的特性。在曲面的連續性與平滑性的條件下,我們利用有限元素法求解並控制誤差到收斂。最後利用本論文所發展的演算法來設計均勻/或非均勻光場分布。最後利用光學模擬軟體LightTools®來勘驗並分析此自由型曲面在照明系統的表現。zh_TW
dc.description.abstractIn this thesis, we propose freeform design model for constructing a single refractor (or reflector) surface under a predefined geometry. The freeform model based on energy conservation and ray propagation law can be characterized by a nonlinear partial differential equation (PDE) under the small planar approximation. The nonlinear PDE can be solved by finite element method with high order element to satisfy the condition of continuity (1st -order) and smoothness (2nd - order). To validate the proposed methodology, we use commercial software LightTools® , to evaluate the illumaninance performance via designed freeform engine in realization of uniform and non-uniform illuminance distribution on the planar.en_US
dc.language.isoen_USen_US
dc.subject非成像光學zh_TW
dc.subject偏微分方程zh_TW
dc.subject自由型曲面zh_TW
dc.subject光學設計zh_TW
dc.subject幾何光學zh_TW
dc.subjectMonge-Ampere方程zh_TW
dc.subjectNon-imaging Opticsen_US
dc.subjectPartial Differential Equationen_US
dc.subjectFreeform Surfaceen_US
dc.subjectOptical Designen_US
dc.subjectGeometrical opticsen_US
dc.subjectMonge-Ampere Equationen_US
dc.title自由型曲面於非成像光學之研究zh_TW
dc.titleFreeform Surface for Non-image Opticsen_US
dc.typeThesisen_US
dc.contributor.department光電工程研究所zh_TW
Appears in Collections:Thesis