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1、P1:IML/FFXP2:IML/FFXQC:IML/FFXT1:IMLMOBK008-FMActonMOBK008-Peterson.clsDecember26,200520:34MAPPEDVECTORBASISFUNCTIONSFORELECTROMAGNETICINTEGRALEQUATIONSiP1:IML/FFXP2:IML/FFXQC:IML/FFXT1:IMLMOBK008-FMActonMOBK008-Peterson.clsDecember26,200520:34Copyright©2005byMorgan&Clayp
2、oolAllrightsreserved.Nopartofthispublicationmaybereproduced,storedinaretrievalsys-tem,ortransmittedinanyformorbyanymeans—electronic,mechanical,photocopy,recording,oranyotherexceptforbriefquotationsinprintedreviews,withoutthepriorpermissionofthepublisher.MappedVectorBasisF
3、unctionsforElectromagneticIntegralEquationsAndrewF.Petersonwww.morganclaypool.comISBN:1-598290-12-6LibraryofCongressCataloging-in-PublicationDataFirstEdition10987654321PrintedintheUnitedStatesofAmericaiiP1:IML/FFXP2:IML/FFXQC:IML/FFXT1:IMLMOBK008-FMActonMOBK008-Peterson.c
4、lsDecember26,200520:34MAPPEDVECTORBASISFUNCTIONSFORELECTROMAGNETICINTEGRALEQUATIONSAndrewF.PetersonSchoolofElectricalandComputerEngineeringGeorgiaInstituteofTechnologyMMorgan&ClaypoolPublishers&CiiiP1:IML/FFXP2:IML/FFXQC:IML/FFXT1:IMLMOBK008-FMActonMOBK008-Peterson.clsDec
5、ember26,200520:34ivABSTRACTThemethod-of-momentssolutionoftheelectricfieldandmagneticfieldinte-gralequations(EFIEandMFIE)isextendedtoconductingobjectsmodeledwithcurvedcells.Thesetechniquesareimportantforelectromagneticscattering,an-tenna,radarsignature,andwirelesscommunicati
6、onapplications.Vectorbasisfunc-tionsofthedivergence-conformingandcurl-conformingtypesareexplained,andspecificinterpolatoryandhierarchicalbasisfunctionsarereviewed.Proceduresformappingthesebasisfunctionsfromareferencedomaintoacurvedcell,whilepre-servingthedesiredcontinuityp
7、ropertiesoncurvedcells,arediscussedindetail.Forillustration,resultsarepresentedforexamplesthatemploydivergence-conformingbasisfunctionswiththeEFIEandcurl-conformingbasisfunctionswiththeMFIE.Theintendedaudienceincludeselectromagneticengineerswithsomepreviousfa-miliaritywit
8、hnumericaltechniques.KEYWORDSboundaryelementmethod,computationalelectromagnetics,integralequatio