Optimized design of LED freeform lens for uniform circular illumination
An optimization method is proposed for designing an LED freeform lens which produces a uniform circular pattern with high energy efficiency.This method is composed of three main aspects:design of the initial guess,parameterization of the freeform surface,and construction of the merit function.The in...
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Veröffentlicht in: | Frontiers of information technology & electronic engineering 2012-12, Vol.13 (12), p.929-936 |
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creator | Liu, Peng Wu, Reng-mao Zheng, Zhen-rong Li, Hai-feng Liu, Xu |
description | An optimization method is proposed for designing an LED freeform lens which produces a uniform circular pattern with high energy efficiency.This method is composed of three main aspects:design of the initial guess,parameterization of the freeform surface,and construction of the merit function.The initial guess is created by solving an ordinary differential equation numerically.An approach of selecting optimization points is introduced for parameterization of the freeform surface.The merit function is constructed by use of the irradiance uniformity and the efficiency of the lens.Design examples are given,and the results show that the irradiance distribution is well controlled with a maximum uniformity(the relative standard deviation of irradiance,RSD) of 0.0122 and a maximum efficiency of 93.88%.This optimization method can be generalized to design freeform lenses with different lighting patterns or without rotational symmetry. |
doi_str_mv | 10.1631/jzus.C12a0116 |
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Zhejiang Univ. - Sci. C</addtitle><addtitle>Journal of zhejiang university science</addtitle><description>An optimization method is proposed for designing an LED freeform lens which produces a uniform circular pattern with high energy efficiency.This method is composed of three main aspects:design of the initial guess,parameterization of the freeform surface,and construction of the merit function.The initial guess is created by solving an ordinary differential equation numerically.An approach of selecting optimization points is introduced for parameterization of the freeform surface.The merit function is constructed by use of the irradiance uniformity and the efficiency of the lens.Design examples are given,and the results show that the irradiance distribution is well controlled with a maximum uniformity(the relative standard deviation of irradiance,RSD) of 0.0122 and a maximum efficiency of 93.88%.This optimization method can be generalized to design freeform lenses with different lighting patterns or without rotational symmetry.</description><subject>Communications Engineering</subject><subject>Computer Hardware</subject><subject>Computer Science</subject><subject>Computer Systems Organization and Communication Networks</subject><subject>Design optimization</subject><subject>Differential equations</subject><subject>Electrical Engineering</subject><subject>Electronics and Microelectronics</subject><subject>Illumination</subject><subject>Instrumentation</subject><subject>Irradiance</subject><subject>LED</subject><subject>Lenses</subject><subject>Light emitting diodes</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Networks</subject><subject>Optimization</subject><subject>Parameterization</subject><subject>Parametrization</subject><subject>Variability</subject><subject>优化设计</subject><subject>参数化方法</subject><subject>圆形</subject><subject>照度均匀度</subject><subject>照明</subject><subject>自由曲面</subject><subject>透镜</subject><issn>1869-1951</issn><issn>2095-9184</issn><issn>1869-196X</issn><issn>2095-9230</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNp1kM1LAzEQxRdRsNQeva948bJ187HZ5Ci1VqHQi4K3kM1Oasputk26B_vXm9paQXAu8xh-82Z4SXKN8jFiBN2vdn0YTxBWOULsLBkgzkSGBHs_P-kCXSajEFZ5LFIUgpFBMlust7a1O6jTGoJdurQz6Xz6mBoPYDrfpg24kEaV9s5-D7T1um-UT23T9K11ams7d5VcGNUEGB37MHl7mr5OnrP5YvYyeZhnmjCyzYThQmnEhVCV0EC1McBxVWJEKVRYF2A4V5TWNYAQVWEMx1owVmGTC2CYDJO7g-_ad5sewla2NmhoGuWg64NEBBOMOSdlRG__oKuu9y5-J7FAvMSUCBSp7EBp34Xgwci1t63ynxLlcp-s3Ccrf5KN_PjAh8i5Jfhf1_8Wbo4HPjq33MSd0wVKUVGwkpAviYaHnQ</recordid><startdate>20121201</startdate><enddate>20121201</enddate><creator>Liu, Peng</creator><creator>Wu, Reng-mao</creator><creator>Zheng, Zhen-rong</creator><creator>Li, Hai-feng</creator><creator>Liu, Xu</creator><general>SP Zhejiang University Press</general><general>Springer Nature B.V</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>L6V</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>7SP</scope><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope></search><sort><creationdate>20121201</creationdate><title>Optimized design of LED freeform lens for uniform circular illumination</title><author>Liu, Peng ; Wu, Reng-mao ; Zheng, Zhen-rong ; Li, Hai-feng ; Liu, Xu</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c363t-9f89ac1899ab9ce4cffe82b72144eb2c5ef88a44ddee99b5ff82c966b2f09e623</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Communications Engineering</topic><topic>Computer Hardware</topic><topic>Computer Science</topic><topic>Computer Systems Organization and Communication Networks</topic><topic>Design optimization</topic><topic>Differential equations</topic><topic>Electrical Engineering</topic><topic>Electronics and Microelectronics</topic><topic>Illumination</topic><topic>Instrumentation</topic><topic>Irradiance</topic><topic>LED</topic><topic>Lenses</topic><topic>Light emitting diodes</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Networks</topic><topic>Optimization</topic><topic>Parameterization</topic><topic>Parametrization</topic><topic>Variability</topic><topic>优化设计</topic><topic>参数化方法</topic><topic>圆形</topic><topic>照度均匀度</topic><topic>照明</topic><topic>自由曲面</topic><topic>透镜</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Liu, Peng</creatorcontrib><creatorcontrib>Wu, Reng-mao</creatorcontrib><creatorcontrib>Zheng, Zhen-rong</creatorcontrib><creatorcontrib>Li, Hai-feng</creatorcontrib><creatorcontrib>Liu, Xu</creatorcontrib><collection>中文科技期刊数据库</collection><collection>中文科技期刊数据库-CALIS站点</collection><collection>中文科技期刊数据库-7.0平台</collection><collection>中文科技期刊数据库- 镜像站点</collection><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Engineering Collection</collection><collection>Electronics & Communications Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Frontiers of information technology & electronic engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Liu, Peng</au><au>Wu, Reng-mao</au><au>Zheng, Zhen-rong</au><au>Li, Hai-feng</au><au>Liu, Xu</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Optimized design of LED freeform lens for uniform circular illumination</atitle><jtitle>Frontiers of information technology & electronic engineering</jtitle><stitle>J. Zhejiang Univ. - Sci. C</stitle><addtitle>Journal of zhejiang university science</addtitle><date>2012-12-01</date><risdate>2012</risdate><volume>13</volume><issue>12</issue><spage>929</spage><epage>936</epage><pages>929-936</pages><issn>1869-1951</issn><issn>2095-9184</issn><eissn>1869-196X</eissn><eissn>2095-9230</eissn><abstract>An optimization method is proposed for designing an LED freeform lens which produces a uniform circular pattern with high energy efficiency.This method is composed of three main aspects:design of the initial guess,parameterization of the freeform surface,and construction of the merit function.The initial guess is created by solving an ordinary differential equation numerically.An approach of selecting optimization points is introduced for parameterization of the freeform surface.The merit function is constructed by use of the irradiance uniformity and the efficiency of the lens.Design examples are given,and the results show that the irradiance distribution is well controlled with a maximum uniformity(the relative standard deviation of irradiance,RSD) of 0.0122 and a maximum efficiency of 93.88%.This optimization method can be generalized to design freeform lenses with different lighting patterns or without rotational symmetry.</abstract><cop>Heidelberg</cop><pub>SP Zhejiang University Press</pub><doi>10.1631/jzus.C12a0116</doi><tpages>8</tpages></addata></record> |
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subjects | Communications Engineering Computer Hardware Computer Science Computer Systems Organization and Communication Networks Design optimization Differential equations Electrical Engineering Electronics and Microelectronics Illumination Instrumentation Irradiance LED Lenses Light emitting diodes Mathematical analysis Mathematical models Networks Optimization Parameterization Parametrization Variability 优化设计 参数化方法 圆形 照度均匀度 照明 自由曲面 透镜 |
title | Optimized design of LED freeform lens for uniform circular illumination |
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