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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
