Inverse Problem for 1D Freeform Design

碩士 === 國立交通大學 === 顯示科技研究所 === 101 === In this thesis, we propose a novel freeform design method in constructing a single refractor(reflector) surface under a predefined geometry. This freeform surface model based on energy conservation and the laws of rays propagation results in a highly nonlinear p...

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Main Authors: Chang, Ray, 張睿
Other Authors: Tien, Chung-Hao
Format: Others
Language:en_US
Published: 2013
Online Access:http://ndltd.ncl.edu.tw/handle/14146530756081637464
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spelling ndltd-TW-101NCTU58121342015-10-13T23:10:50Z http://ndltd.ncl.edu.tw/handle/14146530756081637464 Inverse Problem for 1D Freeform Design 探討自由型光學於預設光場分佈之光學系統 Chang, Ray 張睿 碩士 國立交通大學 顯示科技研究所 101 In this thesis, we propose a novel freeform design method in constructing a single refractor(reflector) surface under a predefined geometry. This freeform surface model based on energy conservation and the laws of rays propagation results in a highly nonlinear partial differential equation(PDE) under the small planar approximation. In order to solve the nonlinear PDE, the finite element method vie Hermite element was implemented to practice a smooth freeform surface in realization of uniform and non-uniform illuminance distribution on the planar and non-planar geometry condition. Tien, Chung-Hao 田仲豪 2013 學位論文 ; thesis 73 en_US
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description 碩士 === 國立交通大學 === 顯示科技研究所 === 101 === In this thesis, we propose a novel freeform design method in constructing a single refractor(reflector) surface under a predefined geometry. This freeform surface model based on energy conservation and the laws of rays propagation results in a highly nonlinear partial differential equation(PDE) under the small planar approximation. In order to solve the nonlinear PDE, the finite element method vie Hermite element was implemented to practice a smooth freeform surface in realization of uniform and non-uniform illuminance distribution on the planar and non-planar geometry condition.
author2 Tien, Chung-Hao
author_facet Tien, Chung-Hao
Chang, Ray
張睿
author Chang, Ray
張睿
spellingShingle Chang, Ray
張睿
Inverse Problem for 1D Freeform Design
author_sort Chang, Ray
title Inverse Problem for 1D Freeform Design
title_short Inverse Problem for 1D Freeform Design
title_full Inverse Problem for 1D Freeform Design
title_fullStr Inverse Problem for 1D Freeform Design
title_full_unstemmed Inverse Problem for 1D Freeform Design
title_sort inverse problem for 1d freeform design
publishDate 2013
url http://ndltd.ncl.edu.tw/handle/14146530756081637464
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