Electromagnetics and Calculation of Fields（2nd ed）

　　这是一本电子工程专业的教材。本书强调场的计算以及理论关系的发展。全书分两部分，第一部分从各种不同的应用与基本关系联系起来的角度表述电磁场和麦克斯韦方程，第二部分给出了计算的方法。

暂缺《Electromagnetics and Calculation of Fields（2nd ed）》作者简介

Contents
Preface
Part1.TheElectromagneticFieldandMaxwell'sEquations
1.MathematicalPreliminaries
1.1.Introduction
1.2.TheVectorNotation
1.3.VectorDerivation
1.3.1.TheNabla(V)Operator
1.3.2.DefinitionoftheGradient,Divrgence,andCurl
1.4.TheGradient
1.4.1.ExampleofGradient
1.5.TheDivergence
1.5.1.DefmitionofFlux
1.5.2.TheDivergenceTheorem
1.5.3.ConservativeFlux
1.5.4.ExampleofDivergence
1.6.TheCurl
1.6.1.CirculationofaVector
1.6.2.Stokes'Theorem
1.6.3.ExampleofCurl
1.7.SecondOrderOperators
1.8.ApplicationofOperatorstoMorethanOneFunction
1.9.ExpressionsinCylindricalandSphericalCoordinates
2.TheElectromagneticFieldandMaxwell'sEquations
2.1.Introduction
2.2.Maxwell'sEquations
2.2.1.FundamentalPhysicalPrinciplesoftheElectromagneticPield
2.2.2.PointFormoftheEquations
2.2.3.TheEquationsinVacuum
2.2.4.TheEquationsinMediawithand
2.2.5.TheEquationsinGeneralMedia
2.2.6.TheIntegralFormofMaxwell'sEquations
2.3.ApproximationstoMaxwell'sEquations
2.4.Units
3ElectrostaticFields
3.1.Introduction
3.2.TheElectrostaticCharge
3.2.1.TheElectricField
3.2.2.ForceonanElectricCharge
3.2.3.TheElectricScalarPotentialV
3.3.NonconservativeFields:ElectromotiveForce
3.4.RefractionoftheElectricField
3.5.DielectricStrength
3.6.TheCapacitor
3.6.1.DefmitionofCapacitance
3.6.2.EnergyStoredinaCapacitor
3.6.3.EnergyinaStatic,ConservativeFie1
3.7.Laplace'sandPoisson'sEquationsinTemoftheElectricField
3.8.Examples
3.8.1.TheInfmiteChargedLine
3.8.2.TheChargedSphericalHalf-Shell
3.8.3.TheSphericalCapacitor
3.8.4.TheSphericalCapacitorwithTwoDielectricLayers
3.9.ABriefIntroductiontotheFiniteElementMethod:SolutionoftH
Two-DimensionalLaplaceEquation
3.9.1.TheFiniteElementTechniqueforDivisionofaDomain
3.9.2.TheVariationalMethod
3.9.3.AFiniteElementProgram
3.9.4.ExampleforUseoftheFiniteElementProgram
3.10.TablesofPermittivities,DielectricStrength,andConductivities
4.MagnetostaticFields
4.1.Introduction
4.2.Maxwell'sEquationsinMagnetostatics
4.2.1.TheEquation
4.2.2.TheEquation
4.2.3.TheEquation
4.3.TheBiot-SavartLaw
4.4.BoundaryConditionsfortheMagneticField
4.5.MagneticMaterials
4.5.1.DiamagneticMaterials
4.5.2.ParamagneticMaterials
4.5.3.FerromagneticMaterials
4.5.4.PennanentMagnets
4.6.TheAnalogybetweenMagneticandElectricCircuits
4.7.InductanceandMutualInductance
4.7.1.DefinitionofInductance
4.7.2.EnergyinaLinearSystem
4.7.3.TheEnergyStoredintheMagneticField
4.8.Examples
4.8.1.CalculationofFieldIntensityandInducianceofaLong
Solenoid
4.8.2.CalculationofHforaCircularLoop
4.8.3.FieldofaRectangularLoop
4.8.4.CalculationofInductanceofaCoaxilCable
4.8.5.CalculationoftheFieldInsideaCy)hdricalConductor
4.8.6.CalculationoftheMagneticFieldHoensityinaMagnetic
Circuit
4.8.7.CalculationoftheMagneticFieldhtensityofaSaturated
MagneticCircuit
4.8.8.MagneticCircuitIncorporatingPrmanentMagnets
4.9.Laplace'sEquationinTermsoftheMagneticScalarPotential
4.10.PropertiesofSoftMagneticMaterials
MagnetodynamicFields
5.1.Introduction
5.2.Maxwell'sEquationsfortheMagnetodynamicField
5.3.PenetrationofTimeDependentFieldsinConductingMaterials
5.3.1.TheEquationforH
5.3.2.TheEquationforB
5.3.3.TheEquationforE
5.3.4.TheEquationforJ
5.3.5.SolutionoftheEquations
5.4.EddyCurrentLossesinPlates
5.5.HysteresisLosses
5.6.Examples
5.6.1.InducedCurrentsDuetoChangeinInduction
5.6.2.InducedCurrentsDuetoChangesinGeometry
5.6.3.InductiveHeatingofaConductingBlock
5.6.4.EffectofMovementofaMagnetRelativetoaFlat
Conductor
5.6.5.VisualizationofPenetrationofFieldsasaFunctionof
Frequency
5.6.6.TheVoltageTransformer
6.InteractionbetweenElectromagneticandMechanicalForces
6.1.Introduction
6.2.ForceonaConductor
6.3.ForceonMovingCharges:TheLorentzForce
6.4.EnergyintheMagneticField
6.5.ForceasVariationofEnergy(VirtualWork)
6.6.ThePoyntingVector
6.7.Maxwell'sForceTensor
6.8.Examples
6.8.1.ForcebetweenTwoConductingSegments
6.8.2.TorqueonaLoop
6.8.3.TheHallEffect
6.8.4.TheLinearMotorandGenerator
6.8.5.AttractionofaFerromagneticBody
6.8.6.RepulsionofaDiamagneticBody
6.8.7.MagneticLevitation
6.8.8.TheMagneticBrake
7.WavePropagationandHigh-FrequencyElectromagneticFields
7.1.Introduction
7.2.TheWaveEquationandItsSolutioB
7.2.1.TheTimeDependentEquations
7.2.2.TheTimeHarmonicWaveEquations
7.2.3.SolutionoftheWaveEquation
7.2.4.SolutionforPlaneWaves
7.2.5.TheOne-DimensionalWaveEquationinFreeSpaceand
LosslessDielectrics
7.3.PropagationofWavesinMaterials
7.31.PropagationofWavesinLossyDielectrics
7.3.2.PropagationofPlaneWavesinLow-LossDielectrics
7.3.3.PropagationofPlaneWavesinConductors
7.3.4.PropagationinaConductor:DefinitionoftheSkinDepth
7.4.PolarizationofPlaneWaves
7.5.Reflection,Refraction,andTransmissionofPlaneWaves
7.5.1.ReflectionandTransmissionataLossyDielectricInterface:
NormalIncidence
7.5.2.ReflectionandTransmissionataConductorInterface:
NormalIncidence
7.5.3.ReflectionandTransmissionataFiniteConductivity
ConductorInterface
7.5.4.ReflectionandTransmissionatanInterface:
ObliqueIncidence
7.5.5.ObliqueIncidenceonaConductingInterface:
PerpendicularPolarization
7.5.6.ObliqueIncidenceonaConductingInterface:
ParallelPolarization
7.5.7.ObliqueIncidenceonaDielectricInterface:
PerpendicularPolarization
7.5.8.ObliqueIncidenceonaDielectricInterfare:
ParallelPolarization
7.6.Waveguides
7.6.1.TEM,TE,andTMWaves
7.6.2.TEMWaves
7.6.3.TEWaves
7.6.4.TMWaves
7.6.5.RectangularWaveguides
7.6.6.TMModesinWaveguides
7.6.7.TEModesinWaveguides
7.7.CavityResonators
7.7.1.TMandTEModesinCavityResonators
7.7.2.TEModesinaCavity
7.7.3.EnergyinaCavity
7.7.4.QualityFactorofaCavityResonator
7.7.5.CouplingtoCavities
PartII.IntroductiontotheFiniteElementMethodinElectromagnetics
8.IntroductiontotheFiniteElementMethod
8.1.Introduction
8.2.TheGalerkinMethod-BasicConcepts
8.3.TheGalerkinMethod-Extensionto2D
8.3.1.TheBoundaryConditions
8.3.2.Calculationofthe2DElementalMatrix
8.4.TheVariationalMethod-BasicConcepts
8.5.TheVariationalMethod-Extensionto2D
8.5.1.TheVariationalFormulation
8.5.2.Calculationofthe2DElementalMatrix
8.6.GeneralizationoftheFiniteElementMethod
8.6.1.High-OrderFiniteElements:General
8.6.2.High-OrderFiniteElements:Notation
8.6.3.High-OrderFiniteElements:Implementation
8.6.4.ContinuityofFiniteElements
8.6.5.PolynomialBasis
8.6.6.TransformationofQuantities-theJacobian
8.6.7.EvaluationoftheIntegrals
8.7.NumericalIntegration
8.7.1.EvaluationoftheIntegrals
8.7.2.BasicPrinciplesofNumericalIntegration
8.7.3.AccuracyandErrorsinNumericalIntegration
8.8.SomeSpecificFiniteElements
8.8.1.IDElements
8.8.2.2DElements
8.8.3.3DElements
8.9.CouplingDifferentFiniteElements;Infinite3lements
8.9.1.CouplingDifferentTypesofFiniteFements
8.9.2.InfiniteEIements
8.10.CalculationofSomeTermsinPoisson'Equation
8.10.1.TheStiffnessMatrix
8.10.2.EvaluationoftheSecondTerminEq.(8.130)
8.10.3.EvaluationoftheThirdTerminEq.(8.130)
8.10.4.EvaluationoftheSourceTerm
8.11.ASimplified2DSecond-OrderFiniteElementProgram
8.11.1.TheProblemtoBeSolved
8.11.2.TheDiscretizedDomain
8.11.3.TheFiniteElementProgram
TheVariationalFiniteElementMethod:
SomeStaticApplications
9.1.Introduction
9.2.SomeStaticApplications
9.2.1.ElectrostaticFields:DielectricMaterials
9.2.2.StationaryCurrents:ConductingMaterials
9.2.3.MagneticFields:ScalarPotential
9.2.4.TheMagneticField:VectorPotential
9.2.5.TheElectricVectorPotential
9.3.TheVariationalMethod
9.3.1.TheVariationalFormulation
9.3.2.FunctionalsInvolvingScalarPotentials
9.3.3.TheVectorPotentialFunctionals
9.4.TheFiniteElementMethod
9.5.ApplicationofFiniteElementswiththeVariationalMethod
9.5.1.ApplicationtotheElectrostaticField
9.5.2.ApplicationtotheCaseofStationaryCurrents
9.5.3.ApplicationtotheMagneticField:ScalarPotential
9.5.4.ApplicationtotheMagneticField:VectorPotential
9.5.5.ApplicationtotheElectricVectorPotential
9.6.AssemblyoftheMatrixSystem
9.7.Axi-SymmetricApplications
9.8.NonlinearApplications
9.8.1.MethodofSuccessiveApproximation
9.8.2.TheNewton-RaphsonMethod
9.9.TheThree-DimensionalScalarPotential
9.9.1.TheFirst-OrderTetrahedralElement
9.9.2.ApplicationoftheVariationalMethod
9.9.3.Modelingof3DPermanentMagnets
9.10.Examples
9.10.1.CalculationofElectrostaticFields
9.10.2.CalculationofStaticCurrents
9.10.3.CalculationoftheMagneticField:SalarPotential
9.10.4.CalculationoftheMagneticField:VectorPotential
9.10.5.Three-DimensionalCalculationofFieldsofPermanent
Magnets
Galerkin'sResidualMethod:ApplicationstoDynamicFields
10.1.Introduction
10.2.ApplicationtoMagneticFieldsinAnisotropicMedia
10.3.Applicationto2DEddyCurrentProblems
10.3.1.First-OrderElementinLocalCoordinates
10.3.2.TheVectorPotentialEquationUsingTime
Discretization
10.3.3.TheComplexVectorPotentialEquation
10.3.4.StructureswithMovingParts
10.3.5.TheAxi-SymmetricFormulation
10.3.6.AModifiedComplexVectorPotentialFormulationfor
WavePropagation
10.3.7.FormulationofHelmholtz'sEquation
10.3.8.AdvantagesandLimitationsof2DFonnulations
10.4.ApplicationoftheNewton-RaphsonMethod
10.5.Examples
10.5.1.EddyCurrents:TimeDiscretization
10.5.2.MovingConductingPieceinFrontofan
Electromagnet
10.5.3.ModesandFieldsinaWaveguide
10.5.4.ResonantFrequenciesofaMicrowaveCavity
11.HexahedralEdgeElements-Some3DApplications
11.1.Introduction
11.2.TheHexahedralEdgeElementShapeFunctions
11.3.ConstructionoftheShapeFunctions
11.4.ApplicationofEdgeElementstoLow-Frequency
Maxwell'sEquations
11.4.1.StaticCases
11.4.2.ListingoftheMatrixConstructionCode
11.4.3.ModelingofPermanentMagnets
11.4.4.EddyCurrents-theTime-SteppingProceure
11.4.5.EddyCurrents-TheComplexFormulation
11.4.6.TheNewton-RaphsonMethod
11.4.7.TheDivergenceofJandOtherParticulars
11.5.ModelingofWaveguidesandCavityResonators
11.6.Examples
11.6.1.StaticCalculations(TEAMProblem13)
11.6.2.ALinearMotorwithPermanentMagnets
11.6.3.EddyCurrentCalculations(TEAMProblem21)
11.6.4.CalculationofResonantFrequencies
(TEAMProblem19)
ComputationalAspectsinFiniteElement
SoftwareImplementation
12.1.Introduction
12.2.GeometricRepetitionofDomains
12.2.1.Periodicity
12.2.2.Anti-Periodicity
12.3.StorageoftheCoefficientMatrix
12.3.1.SymmetryoftheCoefficientMatrix
12.3.2.TheBandedMatrixandItsStorage
12.3.3.CompactStorageoftheMatrix
12.4.InsertionofDirichletBoundaryConditions
12.5.QuadrilateralandHexahedralElements
12.6.MethodsofSolutionoftheLinearSystem
12.6.1.DirectMethods
12.6.2.IterativeMethods
12.7.MethodsofSolutionforEigenvaluesandEigenvectors
12.7.1.TheJacobiTransformation
12.7.2.TheGivensTransformation
12.7.3.TheQRandQZMethods
12.8.DiagramofaFiniteElementProgram
GeneralOrganizationofFieldComputation
Software
13.1.Introduction
13.2.ThePre-ProcessorModule
13.2.1.TheUser/SystemDialogue
13.2.2.DomainDiscretization
13.3.TheProcessorModule
13.4.ThePost-ProcessorModule
13.4.1.VisualizationofResults
13.4.2.CalculationofNumericalResults
13.5.TheComputationalOrganizationofaSoftwarePackage
13.5.1.TheEFCADSoftware
13.6.EvolvingSoftware
13.6.1.TheAdaptiveMeshMethod
13.6.2.ACoupledThermal/ElectricalSystem
13.6.3.ASoftwarePackageforElectricalMachines
13.6.4ASystemforSimultaneousSolutionofFieldEquations
andExtemalCircuits
13.6.5.ComputationalDifficultiesandExtensionstoField
ComputationPackages
13.7RecentTrends
Bibliography
SubjectIndex