一维非周期结构光子晶体的研究方法及性质

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1、到的结果与数值法得到的结果进行了比较。在此基础上，再将积分值直接与一维光子晶体的频率和波矢联系起来，得到了它的能带特性图。4、由Maxwell方程组、电磁场的边界条件和矩阵理论，推导出了电磁波在两种单负材料组成的一维周期结构中的传输特性公式，以及传输矩阵的表达式。5、在引入无序的条件下，分别讨论了色散和非色散两种情况。详细介绍了由两种单负材料构成的周期结构中每层的厚度存在无序时，光在内部传输时的局域特性，并与之前讨论的随机结构进行了比较。关键词：小波积分、光子晶体、本征值求解、单负特异材料、局域长度、传输矩阵法、退

2、局域nlIIIIIIIIIIIIIIIIIIY1768389THEPROPERTIESANDMETHODSOFONE—DIMENSIONALNON—PERIODICABSTRACTPHOTONICCRYSTALSMajor：OpticsName：LiuDong—meiSupervisor：HanPengNowdays，severalcommonmethodswhichhavebeenusedforthebandstructureofphotoniccrystalsalestudiedalot，butthewavel

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4、tomccr)，stalsaredifferentfromthetraditionalmaterialsduetothenegativepermittivityandpermeabilityofmetamaterials．TheAndersonlocalizationbehaviorindisorderedsystemscomposedoftwodifferentsingle-negative(SNG)metamaterialswillrevealsomenovelcharacters．Recently,onlyw

5、avepropagationin1DrandomsystemsmadeofalternatinglayersofDPandDNGmetamaterialshasbeenstudiedandsomenewlocalizationlengthbehaviorshavebeenfound，butSNGhashardlybeeninvestigated．Byusingthetransfer-matrixmethod，westudytheAndersonlocalizationbehaviorinone．dimensiona

6、lperiodic-on·averagedisorderedsystemscomposedoftwodifferentsingle．negative(SNG)metarnaterials．Non-dispersiveanddipersivemodelshavebeenstudiedrespectively．Someuniquefeaturesoftheperiodic··on·-averagerandomSNGSystemsarecomparedwiththerandomsingle-negativesyStemw

7、hichweeverdiscussed．IllThemainworkofthepaperisgivenasfollows：1．Weselectappropriatewaveletfunctionsintermsofwavelettheory,MRAandperiodicwaveletbasistomaketheshapeofthesewaveletfunctionsfamiliarwiththefieldandpermittivityofthephotoniccrystals．Forinstance，Haarwav

8、eletisastepfunction，whichiswelladaptedtothepiecewiseconstantfunctions．2．Thewaveletintegrationwhichhasseveralwaveletfunctionshasbeenresolved．Weemployorthonormalproperties，ref'mement