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Full Description
A strong foundation in electrodynamics is essential to work in so many fields that inevitably, your classes hold students with varied backgrounds and a broad range of interests. To meet all of their needs and motivate them toward advanced studies, they need a text that is clearly written, provides a reasonable level of detail, and develops both their computational abilities and physical intuition.Developed through the extensive teaching experience of its authors, Introduction to Electrodynamics meets those goals. While moving smoothly through all of the standard material, the authors also plant seeds that will spark interest in and lay the groundwork for future work in a number of specialties. Their chapter on dielectric media introduces concepts integral to condensed matter physics, discussions on the motion of charged particles do the same for plasma and high energy physics, and an entire chapter devoted to wave guides forms a foundation for work in fiber optics.Special features of this text include an early introduction to the use of the ubiquitous time-dependent Green's function and a focus on developing students' physical intuition. The authors take particular care in their treatments of special relativity and the theory of radiation from a moving charge, for which they derive the Linard-Wiecher potentials and Larmor's formula.
Contents
INTRODUCTION AND MATHEMATICAL PRELIMINARIESBackgroundThe GradientThe DivergenceThe CurlThe Operator NablaProblems for Chapter 1ELECTROSTATICSIntroductionCoulomb's LawThe Delta FunctionThe Electric FieldGauss' LawThe Electrostatic PotentialPotential for an Infinite Sheet of ChargePotential and Electric Field due to DipoleThe Linear QuadrupoleThe Laplace and Poisson EquationProperties of the Laplace and Poisson EquationTheorems on Solutions of Laplace and Poisson EquationsProblems for Chapter 2ELECTROSTATIC BOUNDARY VALUE PROBLEMSIntroductionConductors, Insulators and SemiconductorsMethod of ImagesCharge in Front of a Conducting SphereGeneral Solution of the Laplace EquationSolution in Rectangular CoordinatesCylindrical Coordinates - Bessel FunctionsInfinite Circular CylinderAn Infinite Perfectly Conductor Cylinder in Uniform Electric FieldSpherical Coordinates with Axial SymmetryTwo Hemispheres at Different PotentialsA Uniform Ring of ChargeParallel Plates with Hemispherical DefectElectrostatic Boundary Value Problems and Green's FunctionsBibliographyProblems for Chapter 3IntroductionMultipole Expansion of the PotentialElectrostatic Energy of Charge DistributionsTheory of CapacitanceElectric Field in Material MediaBoundary Conditions at a Dielectric InterfaceElectrostatics in DielectricsElectrostatic Energy in Dielectric MediaThermodynamic Meaning of Electrostatic EnergyAverage of Electric Field Over a SphereThe Clausius-Mossotti EquationPolar MoleculesForces on DielectricsBibliographyProblems for Chapter 4MAGNETOSTATICSIntroductionCurrent, Current Density and Equations of ContinuityBiot-Savart LawLorentz ForceDivergence and Curl of BField of a SolenoidThe Vector PotentialMagnetic Dipole Moment and B of a Distant Current LoopMotion of Charged Particle in an Electromagnetic FieldMotion of Charged Particles: Inhomogeneous Static BMagnetic Scalar PotentialMagnetic Potential and B of a Circular CoilBibliographyProblems for Chapter 5IntroductionConstitutive Relations for Magnetic MaterialsThree Types of MagnetismMagnetizationMagnetic Induction Inside Magnetic MaterialsMagnetic Field Intensity HBoundary Conditions on B and HHysteresis LoopMagnetic Energy and Mechanical AnaloguesEnergy Loss in Hysteresis LoopProblems for Chapter 6TIME-VARYING FIELDSIntroductionFaraday's Law of InductionInductanceGeneralization of Ampere's LawMaxwell's Equations in the Absence of MatterGreen's Functions for the Scalar Wave EquationProblems for Chapter 7MAXWELL'S EQUATIONS AND PLANE WAVESIntroductionElectromagnetic Waves in a Linear MediumThe Flow of Electromagnetic Energy - Poynting VectorBoundary ConditionsPlane Monochromatic WavesPolarization of Plane WavesProblems for Chapter 8IntroductionReflection and RefractionBrewster's Angle, Critical AngleFrequency Dispersion, Causality and Kramers-Kronig RelationsProblems for Chapter 9WAVE GUIDES AND RESONANT CAVITIESIntroductionTwo Parallel MirrorsWave GuidesTransverse Electromagnetic Waves (TEM)Equations for TE and TM ModesTM or E ModeTE or M ModeProperties of the TE and Tm ModesTE Modes for Rectangular Wave GuidesResonant CavitiesResonant Frequencies for a Cylindrical CavityPower Losses and Q of a CavityDielectric Wave GuidesCylindrical Dielectric Wave GuideProblems for Chapter 10RADIATION FROM A STATIONARY TIME-VARYING SOURCEIntroductionInhomogeneous Wave Equations: Formal SolutionsApproximate Calculations of f and A: Electric Dipole RadiationRadiating HemispheresAbsence of Monopole RadiationMagnetic Dipole and Electric Quadrupole RadiationCircular Loop AntennaQuadrupole RadiationRadiation from Linear AntennasRadiation from Two Parallel Half-Wave AntennasFull Wave AntennaBibliographyProblems for Chapter 11SPECIAL RELATIVITYIntroductionThe Michelson-Morley ExperimentThe Lorentz TransformationsThe Fitzgerald-Lorentz Contraction and Time DilationAddition of Velocities - Accelerated MotionsSimultaneityTensor Calculus and the Lorentz GroupCovariance of Maxwell's EquationsRelativistic Kinematics, Proper TimeThe Lorentz ForceThe Minkowski ForceExamplesElectromagnetic Field due to Moving ChargeProblems for Chapter 12ELECTRODYNAMICSIntroductionLienard-Wiechart PotentialsElectric and Magnetic Fields due to Uniform Motion of a ChargePower Radiated by a Charge (arbitrary u
