{"title":"完美反射器背衬介质光栅的内部机制，实现 100% 的衍射效率","authors":"Lifeng Li","doi":"10.1364/josaa.511422","DOIUrl":null,"url":null,"abstract":"The work started 20 years ago [Appl. Opt. <b>42</b>, 6255 (2003) [CrossRef] <span> </span>] investigating the physical mechanism of multilayer dielectric reflection gratings to achieve 100% diffraction efficiency is completed to offer much deeper insight than before. How different scattering matrix elements of the top periodic surface corrugation contribute to the <span><span>{-}{1}</span><script type=\"math/tex\">{-}{1}</script></span>st-order efficiency of such a compound grating is unveiled analytically using a minimum set of real parameters. The two diffraction amplitudes transmitted through the top corrugation play a dominant role in enabling 100% diffraction efficiency. Simple necessary and sufficient conditions for 100% efficiency are derived. Moreover, the role of the reflection phase of the perfect reflector, including the contribution of the optical path between the top corrugation and the reflector, is emphasized.","PeriodicalId":501620,"journal":{"name":"Journal of the Optical Society of America A","volume":"102 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Internal mechanism of perfect-reflector-backed dielectric gratings to achieve 100% diffraction efficiency\",\"authors\":\"Lifeng Li\",\"doi\":\"10.1364/josaa.511422\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The work started 20 years ago [Appl. Opt. <b>42</b>, 6255 (2003) [CrossRef] <span> </span>] investigating the physical mechanism of multilayer dielectric reflection gratings to achieve 100% diffraction efficiency is completed to offer much deeper insight than before. How different scattering matrix elements of the top periodic surface corrugation contribute to the <span><span>{-}{1}</span><script type=\\\"math/tex\\\">{-}{1}</script></span>st-order efficiency of such a compound grating is unveiled analytically using a minimum set of real parameters. The two diffraction amplitudes transmitted through the top corrugation play a dominant role in enabling 100% diffraction efficiency. Simple necessary and sufficient conditions for 100% efficiency are derived. Moreover, the role of the reflection phase of the perfect reflector, including the contribution of the optical path between the top corrugation and the reflector, is emphasized.\",\"PeriodicalId\":501620,\"journal\":{\"name\":\"Journal of the Optical Society of America A\",\"volume\":\"102 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-01-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Optical Society of America A\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1364/josaa.511422\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Optical Society of America A","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1364/josaa.511422","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Internal mechanism of perfect-reflector-backed dielectric gratings to achieve 100% diffraction efficiency
The work started 20 years ago [Appl. Opt. 42, 6255 (2003) [CrossRef] ] investigating the physical mechanism of multilayer dielectric reflection gratings to achieve 100% diffraction efficiency is completed to offer much deeper insight than before. How different scattering matrix elements of the top periodic surface corrugation contribute to the {-}{1}st-order efficiency of such a compound grating is unveiled analytically using a minimum set of real parameters. The two diffraction amplitudes transmitted through the top corrugation play a dominant role in enabling 100% diffraction efficiency. Simple necessary and sufficient conditions for 100% efficiency are derived. Moreover, the role of the reflection phase of the perfect reflector, including the contribution of the optical path between the top corrugation and the reflector, is emphasized.
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