{"title":"利用可积映射设计自由曲面反射器","authors":"F. Fournier, W. Cassarly, J. Rolland","doi":"10.1117/12.871014","DOIUrl":null,"url":null,"abstract":"We propose a design method for freeform reflectors based on source-target maps. The necessity for maps to fulfill the integrability condition to obtain a continuous reflector surface is discussed and demonstrated with various reflector geometries. We also review the advantages and drawbacks of reflectors with step discontinuities that do not require the integrability condition to be satisfied.","PeriodicalId":386109,"journal":{"name":"International Optical Design Conference","volume":"420 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"Freeform reflector design using integrable maps\",\"authors\":\"F. Fournier, W. Cassarly, J. Rolland\",\"doi\":\"10.1117/12.871014\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We propose a design method for freeform reflectors based on source-target maps. The necessity for maps to fulfill the integrability condition to obtain a continuous reflector surface is discussed and demonstrated with various reflector geometries. We also review the advantages and drawbacks of reflectors with step discontinuities that do not require the integrability condition to be satisfied.\",\"PeriodicalId\":386109,\"journal\":{\"name\":\"International Optical Design Conference\",\"volume\":\"420 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-06-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Optical Design Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1117/12.871014\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Optical Design Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1117/12.871014","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We propose a design method for freeform reflectors based on source-target maps. The necessity for maps to fulfill the integrability condition to obtain a continuous reflector surface is discussed and demonstrated with various reflector geometries. We also review the advantages and drawbacks of reflectors with step discontinuities that do not require the integrability condition to be satisfied.
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