Optimization of a Photonic Crystal Waveguide Termination using the Geometry Projection Method and COMSOL英文文献资料

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1、ExcerptfromtheProceedingsoftheCOMSOLConference2007,BostonOptimizationofaPhotonicCrystalWaveguideTerminationusingtheGeometryProjectionMethodandCOMSOLWalterR.Frei,Ph.D.COMSOL,Inc.1NewEnglandExecutivePark,Suite350,Burlington,MA01803walter@comsol.comAbstract:Usingnon-linearprogramming,themadet

2、othedielectricconstantineachelement.shapeofasetofdielectricrodssurroundingtheTheTOmethodhastwodrawbacks:1)itcreatesterminationofaphotoniccrystalwaveguideisareasofintermediatedielectric,i.e.betweenthatoptimizedtoincreasethedirectionalemission.ofairandthestrongdielectric,and2)itpermitsTheGeo

3、metryProjectionMethod(GPM)isusedfeaturesizesontheorderofthemeshsize.todefinetheshapeofthedielectricrodsaroundThesedrawbacksresultindesignsthatarenottheterminationofawaveguideinasquarelatticereadilyfabricated.Althoughfiltersandrods-in-airphotoniccrystal.TheGPMusesasetpenalizationmethodshave

4、beensuccessfully4ofcontrolpointsinahigherdimensionalspacetoemployedtoresolvetheseproblems,thesedefinetheshapeandtopologyoftheinterfacesapproachesareheuristicandtakesignificantfinebetweenthedifferentmaterialregions.Thetuning,soanalternativeapproachisdesirable.performanceofthedeviceisquantif

5、iedviaa2DTheGeometryProjectionMethodused5,6finiteelementmodel.ThesensitivitiesofthehereavoidsbothoftheabovementionedperformancetothematerialdistributionareproblemsbyusingadifferentsetofdesigncomputedviatheAdjointmethod.TheGPMisvariablesthatexplicitlyconstrainthedielectrictousedtoprojectthe

6、sensitivityoftheperformancenottakeintermediatevaluesandimplicitlygivefunctionontothecontrolpoints.Agradient-controloverfeaturesize.TheGPMisappliedtobasedoptimizeristhenusedtoadjustthecontroltheproblemofaPCwaveguidetermination,andpoints,whichchangestheshapeofthedielectricasignificantincreas

7、einperformanceisrods.Greaterthanafivefoldimprovementindemonstrated.directionalemissionisachieved.Keywords:Optimization,Photonics1.IntroductionPhotoniccrystal(PC)devicesexploitthephotonicbandgapeffecttocontrolthe1propagationofcertainfrequenciesoflight.Theexactd