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1、Eur.Phys.J.B11,65{73(1999)THEEUROPEANPHYSICALJOURNALBEDPSciencescSocietaItalianadiFisicaSpringer-Verlag1999Improvementofabsolutebandgapsin2DphotoniccrystalsbyanisotropyindielectricityZhi-YuanLi1;a,Ben-YuanGu2,andGuo-ZhenYang21InstituteofPhysics,ChineseAcademyofSciences,P.O.Box
2、603,Beijing100080,P.R.China2CCAST(WorldLaboratory),P.O.Box8730,Beijing100080,P.R.ChinaReceived26January1999Abstract.Two{dimensional(2D)photonicbandgaps(PBG)structurefabricatedfromanisotropicdi-electricisstudiedbysolvingMaxwell'sequationswithuseofplane{waveexpansionmethod.Numeri
3、calsimulationsshowthatabsolutephotonicbandgapscanbesubstantiallyimprovedintwodimensionalsquareandtriangularlatticesofcylindersbyintroducinganisotropyinmaterialdielectricity.Owingtodi erentrefractiveindicesforelectromagneticwaveswithE-andH-polarization,thequasi{independentadjust
4、mentofbandgapsfortheE-andH-polarizationmodescanbeimplementedbyuniaxialcrystalswiththeirextraordinaryaxisparalleltothecylinders.Largeabsolutebandgapscanbecreatedforuniaxialcylindersinairwithapositiveanisotropy.Inthecaseofairholesinbackgrounduniaxialdielectricwithevenaweaknegativ
5、eanisotropy,theabsolutebandgapcanbeincreased2-3times.Largeabsolutebandgapcanalsobeobtainedinothercomplexcon gurationsofuniaxialandbiaxialmaterialsandthisenablesafullexploitationofpotentialutilizationforanisotropicmaterialsavailableinnature.Suchamechanismofbandgapadjustmentshoul
6、dopenupanewscopefordesigningbandgapsin2DPBGstructures.PACS.78.20.CiOpticalconstants(refractiveindex,complexdielectricconstant,absorption,reflectionandtransmissioncoecients,emissivity){78.20.FmBirefringence{42.50.-pQuantumoptics{81.10.AjTheoryandmodelsofcrystalgrowth;physicsofcr
7、ystalgrowth,crystalmorphologyandorientation1IntroductionSincethesuperiorfeaturesofPBGstructuresresultfromthephotonicbandgap,itisessentialtodesigncrystalstructureswithabandgapaslargeaspossible.ItiswellInthelastdecadethereappearsgreatinterestinfab-knownthattheelectromagneticwavec
8、anbedecomposedricatingthephotonicbandgaps(PBG)structur
