Fast Algorithms in Computational Electromagnetics

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1、FastAlgorithmsinComputationalElectromagneticsTieJunCuiandWengChoChew.DepartmentofRadioEngineering,SoutheastUniversityNanjing,P.R.ChinaUniversityofIllinoisatUrbana-ChampaignUrbana,Illinois,USA.°cAllCopyrightReserved.October2003.ArtechHouse,INC.Boston/LondonAnnouncementThemat

2、erialprovidedhereisonlyateachingnoteforthecourse“ComputationalElectromagneticsandFastAlgorithms,”insteadofabook.Mostofthereferenceshavenotbeencitedinthecurrentform.Iwillprovidetherevisedversionlater.Ifsomeonewantstousethematerialinhis/herresearch,pleasecontactwithme.Pleased

3、onotdistributethematerialtootherpersonswithoutmypermission.TieJunCuiDepartmentofRadioEngineeringSoutheastUniversityEmail:tjcui@seu.edu.cnAllCopyrightsReserved.January2004,Nanjing.Contents1AnIntroduction:TheHistory,CurrentStatus,andFuture11.1Maxwell’sEquations11.2ThreeAgesof

4、EMSimulations21.2.1TheAgeofClosed-FormSolutions21.2.2TheAgeofApproximateMethods21.2.3TheAgeofNumericalMethods21.3ComparisonofDifferentialandIntegralEquationSolvers21.4ApplicationsofCEM21.5MoreAboutCEM2References12Green’sFunctionsandIntegralEquations32.1Green’sFunctionsandIn

5、tegralEquations32.2ScalarGreen’sFunctionsinFreeSpace52.2.12DCase52.2.23DCase72.2.3SmoothKernelandOscillatoryKernel7vviCONTENTS2.3VectorWaveEquationsandDyadicGreen’sFunctions82.4SurfaceIntegralEquationsandInternalResonanceProblem102.5TheVolumeIntegralEquation122.6Half-SpaceG

6、reen’sFunctionsto2DProblems132.7DerivationofHalf-SpaceGreen’sFunctionsfor3DProblems162.7.1PrimaryField202.7.2ReflectedField202.7.3TransmittedField212.8ASummarytoHalf-SpaceGreen’sFunctionsfor3DProblems212.8.1Green’sFunctioninIntegralEquation212.8.2Green’sFunctionforIncidentFi

7、eld242.8.3Green’sFunctionforScatteredField252.9FastEvaluationofSommerfeldIntegrals262.9.12DProblems262.9.23DProblems47References13TheMethodofMoments:AdvancedFeatures33.1BasicPrincipleofMOM33.2Physically-BasedBasisFunctions53.2.1RWGBasisFunctionforPECObjects53.2.2MOMImplemen

8、tationUsingtheRWGBasisFunction73.2.3CurvilinearTriangularPatchandHigh-OrderBasisFu