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2D H-polarized auxiliary basis functions for the extension of the photonic Wannier function expansion for photonic crystal circuitry [Elektronische Ressource] / von Patrick Mack

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276 pages
Fakultät für PhysikInstitut für Theoretische Festkörperphysik2D H-polarized Auxiliary Basis Functions for theExtension of the Photonic Wannier Function Expansion for Crystal CircuitryPhD Thesisby11.02.2011Instructor: Prof. Dr. Kurt Busch2nd Instructor: Prof. Dr. Peter WölflekPkys.MacPhDipl.atricatric2DW?leH-pPr?fung:olarizedAAuxiliarythalBahsi(KIT)sDipl.FausunctionsderforProf.theProf.ExtensionecofDISSERthevPhotonicys.WMacannierrankFTunction?ndlicExpansionReferenforK.PhotonicorreferenCrystalPCircuitryTZurhnologieErlangunggenehmigtedesTakTIONademisconhenPhGradesPeineskDOKTORSkDERFNAenTUR(Pfalz)WISSENSCHAFTENagvmonhender11.02.2011Ft:akult?tDr.f?rBuscPhKysikt:desDr.Karlsruher.Institutsf?rofDeoudicThankatethedlifetoYChristinaforandsummerMarmycoIntroductionands1D,lighLighfrtJwoasmaterialsamongtedtheevgiveryoprsttthingsranges,createdCHbducedy(2004).GondteinandChristiantheminythologyranges,thefollounitwcompleteedregardlessb(a)yGaA.mankindTand(c)thePublishersassignmenphotonictdesignedtoduce`subiduefewthetheearth',to1aanddispscienthesetistsphawhicvtedirections.madeev,astgetperlap,ro(PBG).gressesincedirection.
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Fakultät für Physik
Institut für Theoretische Festkörperphysik
2D H-polarized Auxiliary Basis Functions for the
Extension of the Photonic Wannier Function Expansion for Crystal Circuitry
PhD Thesis
by
11.02.2011
Instructor: Prof. Dr. Kurt Busch
2nd Instructor: Prof. Dr. Peter Wölfle
kPkys.MacPhDipl.atricatric2DW?leH-pPr?fung:olarizedAAuxiliarythalBahsi(KIT)sDipl.FausunctionsderforProf.theProf.ExtensionecofDISSERthevPhotonicys.WMacannierrankFTunction?ndlicExpansionReferenforK.PhotonicorreferenCrystalPCircuitryTZurhnologieErlangunggenehmigtedesTakTIONademisconhenPhGradesPeineskDOKTORSkDERFNAenTUR(Pfalz)WISSENSCHAFTENagvmonhender11.02.2011Ft:akult?tDr.f?rBuscPhKysikt:desDr.Karlsruher.Institutsf?rofDeoudicThankatethedlifetoYChristinaforandsummerMarmycoIntroduction
ands1D,lighLighfrtJwoasmaterialsamongtedtheevgiveryoprsttthingsranges,createdCHbducedy(2004).GondteinandChristiantheminythologyranges,thefollounitwcompleteedregardlessb(a)yGaA.mankindTand(c)thePublishersassignmenphotonictdesignedtoduce`subiduefewthetheearth',to1aanddispscienthesetistsphawhicvtedirections.madeev,astgetperlap,ro(PBG).gressesincedirection.theninsulatorstoCop`subbHdwithue'PClighciett:ermissionThedpilediscopv[7],eryooferioMaxw(c)ell'sPCseqnulighabandtiprolesoPn28,svii[1]constituenproscatteringvidedunderlyingtherisebasisstructureforulti-brancarelationfullpropagatingunderstandingThofoersclassicalyelectromagneticstopwareaprohibitvaegpropagation,carefullytheparametersiofnlatticetroofductiononeofstoptheophotonusbbandythoseEinsteina[2]islatheyus,groundacttolighthestacdevtelopmenerlagtCo.ofeprothepquan[5].tumCourtesytheoryOpticalof.lkindighromtowhiccture.hyinfromturnNaturemadeyrighthe0.1:inaphsvwithenintion2D,ofPurpthestructureslaserthepsymmetryossiinble.loThesemotoinolsThandmotheenadvsurroundancemenonlytsGenesisinBiblecreatingVstructuresatonsinglethetsmicrometerBraggandduenanometerthescalelatticeinesatoconbandtrolledinfashionmpahversionedforthetwthroughacrystals.yis,forturn,thetheemergingossibiliteldtoofenphotonics:bandsscienhtistsfrequencynothatlongerlighdeppropagationendlmerelynoncertainutilizingBytheadjustingopticalfabricationalprop(refractivertiesindexofconstituennaturalmaterials,materials,symmetrybutgeometryactivoneelycell),createcanandthesetailorbarticialtomaterialsvwiththnoformingvphotonicelgapsandInunprecedenfrequencytedweectsvonpropagationlighforbiddentofpropagation.propagationOneThnotablePBGmilestonecaninasthisforrespt.ectBraggwk.asyrightheWiley-VinVtroGmduction&ofKtheRconceptducedofkindphotonicermissioncrystaoml(b)sslab.(PC)ofbheySoJohny[3]ReproandwithYpablonofvitc[6].hW[4].oThstrueseReprinarebpkinderioermissiondicMacmillanarrangemenLtd:tsMaterialsofcopdielectrictmFigureaterials,Micrwheregrtheofbasiccrystalsbuildingpblodicitiesc(a)ksthe(b)unitandcells3D.ofoselythedefectcrystalsareinrepbreakeatedtrapslationalerioadicallydintroone,stronglytcalizedwtodorsthreethedimensions.gaps.ExampleseofrrealdestructurespareetrashothewninginCFig.a0.1.1The1,comThebination(Kingofameslighersion).tscattering1m
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The Wannier Function Approach:
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