27 Photonic Quasicrystals

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1、FilippoCapolino/TheoryandPhenomenaofMetamaterials_CFinalsPage--#27PhotonicQuasicrystals:BasicsandExamplesAlessandroDellaVillaUniversityofSiena.IntroductionandBackground........................-.TheGeometryofAperiodicOrder...................-Vin

2、cenzoGaldiGeneralities●AperiodicTilings●GenerationAlgorithms●UniversityofSannioOrdervs.Symmetry.TheoreticalandComputationalTools................-FilippoCapolino.CompactReviewofResultsandApplicationsUniversityofCaliforniaIrvineAvailableintheLiterature..............

3、..............-.Examplesof-DPQCs...............................-StefanEnochGeometry●BandgapProperties●LocalizedModesFresnelInstitute.ExamplesofPlanarPQCs............................-GérardTayeb.Quasi-Conclusions...................................-Fr

4、esnelInstituteReferences.................................................-27.1IntroductionandBackgroundThestudyofwaveinteractionswithorderedstructuresrepresentsaclassicalproblemoflong-standinginterestinelectromagnetics(EM)andopticalengineering,whichhasrecentlyreceiveda

5、renewedinterestinviewofitsrelevancetothedesignofmetamaterials,photoniccrystal(PC)devices,frequency-selectivesurfaces,artificialimpedancesurfaces,etc.Forthesimplestconceivableformof“order,”intrinsicallyassociatedwiththeconceptofperiodicity,thearisingwavephenomenaarewell-und

6、erstoodandaccuratelypredictableviarigorousandpowerfulmodelingtoolsbasedonBloch–Floquettheory.TheEMpropertiesofrandomgeometries,attheoppositeextremeofthe“order”scale,havealsobeenextensivelystudied,andstochastic/statisticalmodelingistypicallyusedincomplex(e.g.,urban)propagat

7、ionenvironmentswheredeterministicapproachesandobservableswouldbeoflittlemeaning.Althoughtheaboveextremaofthe“order”scaleseemtobewellcharacterized,the“grayzone”inbetween,whichencompassesabroadrangeofhierarchicalordertypes(from“quasiperiodic”to“quasirandom”),turnsouttobestil

8、llargelyunexplored.Althoughtheconceptofaperiodicityhastraditionallybeentiedtotheconceptof