{"title":"Spectral characterization of dodecagonal quasicrystals","authors":"G. Zito, S. de Nicola, G. Pepe, L. Petti","doi":"10.1109/MEPHOCO.2014.6866493","DOIUrl":null,"url":null,"abstract":"We propose an analytical method for generating a two-dimensional quasiperiodic pattern with dodocagonal rotational symmetry. The method allows producing the quasiperiodic structure by a finite number of translational steps of a properly designed repeating unit. The quasiperiodic symmetry affects the diffraction pattern and its characteristics are analyzed via theoretical calculation of the Fourier spectrum of the structure. We show that it is possible to express the Fourier spectrum in terms of the spectral distribution of the basic unit.","PeriodicalId":219746,"journal":{"name":"2014 Third Mediterranean Photonics Conference","volume":"4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 Third Mediterranean Photonics Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MEPHOCO.2014.6866493","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We propose an analytical method for generating a two-dimensional quasiperiodic pattern with dodocagonal rotational symmetry. The method allows producing the quasiperiodic structure by a finite number of translational steps of a properly designed repeating unit. The quasiperiodic symmetry affects the diffraction pattern and its characteristics are analyzed via theoretical calculation of the Fourier spectrum of the structure. We show that it is possible to express the Fourier spectrum in terms of the spectral distribution of the basic unit.
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