{"title":"An Introduction to Mathematics of Transformational Plasmonics","authors":"M. Kadic, S. Guenneau, S. Enoch","doi":"10.1201/B14298-11","DOIUrl":"https://doi.org/10.1201/B14298-11","url":null,"abstract":"","PeriodicalId":402717,"journal":{"name":"Mathematical Optics","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115249442","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An Introduction to Super-Resolution Imaging","authors":"J. Simpkins, R. Stevenson","doi":"10.1201/B14298-23","DOIUrl":"https://doi.org/10.1201/B14298-23","url":null,"abstract":"“Super-resolution” is the term used to denote the subset of imaging processing that tries to estimate a high-resolution image of a scene, given a set of low-resolution observations (Fig. 1). Colloquially, when superresolution researchers try to describe what they do to family, friends, and loved ones, we can use the example from the TV show CSI: whenever someone on CSI looks at low-resolution security camera footage, pushes the magic “Enhance” button, and then suddenly the footage is crystal clear, that character is using super-resolution. The programs that we write in super-resolution research are like the real-life version of the “Enhance” button.","PeriodicalId":402717,"journal":{"name":"Mathematical Optics","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126490897","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Lorentz Group in Ray and Polarization Optics","authors":"S. Başkal, Y. S. Kim","doi":"10.1201/b14298-14","DOIUrl":"https://doi.org/10.1201/b14298-14","url":null,"abstract":"While the Lorentz group serves as the basic language for Einstein's special theory of relativity, it is turning out to be the basic mathematical instrument in optical sciences, particularly in ray optics and polarization optics. The beam transfer matrix, commonly called the $ABCD$ matrix, is shown to be a two-by-two representation of the Lorentz group applicable to the three-dimensional space-time consisting of two space and one time dimensions. The Jones matrix applicable to polarization states turns out to be the two-by-two representations of the Lorentz group applicable to the four-dimensional space-time consisting of three space and one time dimensions. The four-by-four Mueller matrix applicable to the Stokes parameters as well as the Poincar'e sphere are both shown to be the representations of the Lorentz group.","PeriodicalId":402717,"journal":{"name":"Mathematical Optics","volume":"88 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132545945","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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