由色散材料构成的体心立方晶体的光子能带计算

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1、万方数据第40卷第4期2004年7月南京大学学报(自然科学)JOURNALOFNANJINGUNIVERSITY(NATURALSCIENCES)V01．40，No．4July，2004PhotonicBandStructuresofBCCCrystalsContainingDispersiveMaterial+LiJiang一】iao(ChangzhouInstituteofTechnology，]DepartmentofQualityEngineering，Changzhou，213002，

2、China)Abstract：Thephotonicbandgappropertiesofanarrayofspheresarrangedinthebody-center-cubic(BCC)structurehavebeencalculated．Thespheres&remadeupofdielectricmaterialthathasdielectricpropertiesdescribablebythepolaritonandplasmon-typedispersionrelationsh

3、ip．Wefindthataksolutephotonicgapscarlbeobtainedinbothcasesalthoughthet302structureisknowntobeunfavorablefortheformationofphotonicbandgaps．Thephotonicbandstmcturesarecalculatedbyanefficientvector—wavemultiplescatteringmethodwhichcarldealaccuratelywith

4、thesharpchangesofdielectricfunctionsneartheinterface．Keywords：photomccrystal，My-Center—Cubic(BCC)Structure，bandgapmaterials由色散材料构成的体心立方晶体的光子能带计算李江蛟(常州工学院质量工程系，常州，213002)摘要：计算了小球排列构成的体心立方结构的光子带隙性质，小球的介电函数可以是极化激元型或等离子型．虽然在通常的介电材料体心立方结构中并不容易形成光子带隙，但在我们考

5、虑的这两类情况中均发现绝对带隙．本文中讨论的光子能带结构是由非常有效的矢量波多重散射方法计算，该方法可以精确地处理介电函数在界面附近的突变．关键词：光子晶体，体心立方结构，带隙材料中图分类号：0411PhotoniccrystalsareperiodicallymodulateddielectricstructuresL卜31．Recently．newtechniquessuchasself-assemblyofcolloidparticlesfromsolventtoformartificia

6、lopalandinverseopalbringusastepclosertorealizingphotonicbandgapsattheopticalwavelength【4～6J．SimilartotheelectronpropagatinginanaturalCryStal．thepropagationmodesofphotonsformabandstructureduetotheBlochtheorem．Theexistenceofanabsolutebandgapprohibitsth

7、espontaneousemissionofelectromagneticwaveswithinthefrequency_Receiveddate：2004—03～lOE—mail：Ljj@CZU．cn万方数据第4期LiJiang-Jiao：PhotonicBandStructuresofBCCCryStals·505。rangeofthegapcanbeappliedinadvancedopticaldevicessuchasfrequencyselectivereflectors，optic

8、alpolarizers，bandfilters，andlow—thresholdmicro-cavitylasers07,8j．Thebandstructurecalculationofphotoniccrystalscanbedonebyusingeithertheplanewavemethod[9～1l【，thefinitedifferencetimedomainmethod[12～14]，orthemultiplescatteringmethod．Whenphotoniccrystals