{"title":"二元相位光栅的分形衍射和聚焦特性","authors":"K. Brenner, R. Buschlinger","doi":"10.1109/WIO.2010.5582520","DOIUrl":null,"url":null,"abstract":"We observed, that a simple binary phase grating under certain circumstances exhibits pronounced focusing properties. In the paraxial approximation, the on-axis intensity as a function of the grating duty cycle shows a perfect fractal behavior. We discuss the properties of lens scaling and phase binarization in the paraxial, the non-paraxial and the rigorous case. Furthermore, we investigate the optimal focusing conditions for binary phase gratings. Also, possible applications in light concentration, image scanning and wave-front sensing are discussed","PeriodicalId":201478,"journal":{"name":"2010 9th Euro-American Workshop on Information Optics","volume":"129 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fractal diffraction and focusing properties of binary phase gratings\",\"authors\":\"K. Brenner, R. Buschlinger\",\"doi\":\"10.1109/WIO.2010.5582520\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We observed, that a simple binary phase grating under certain circumstances exhibits pronounced focusing properties. In the paraxial approximation, the on-axis intensity as a function of the grating duty cycle shows a perfect fractal behavior. We discuss the properties of lens scaling and phase binarization in the paraxial, the non-paraxial and the rigorous case. Furthermore, we investigate the optimal focusing conditions for binary phase gratings. Also, possible applications in light concentration, image scanning and wave-front sensing are discussed\",\"PeriodicalId\":201478,\"journal\":{\"name\":\"2010 9th Euro-American Workshop on Information Optics\",\"volume\":\"129 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-07-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 9th Euro-American Workshop on Information Optics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/WIO.2010.5582520\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 9th Euro-American Workshop on Information Optics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/WIO.2010.5582520","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Fractal diffraction and focusing properties of binary phase gratings
We observed, that a simple binary phase grating under certain circumstances exhibits pronounced focusing properties. In the paraxial approximation, the on-axis intensity as a function of the grating duty cycle shows a perfect fractal behavior. We discuss the properties of lens scaling and phase binarization in the paraxial, the non-paraxial and the rigorous case. Furthermore, we investigate the optimal focusing conditions for binary phase gratings. Also, possible applications in light concentration, image scanning and wave-front sensing are discussed
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