Core Electrodynamics

Description

Preface to the Springer Edition Preface Contents List of Figures 1 A Brief Tour of Electromagnetism 1.1 The Building Blocks 1.2 Maxwell I and II 1.2.1 Flux of a Vector Field 1.2.2 Flux of E 1.2.3 Flux of B 1.2.4 Conservative and Nonconservative Fields 1.3 Maxwell III and IV 1.3.1 Faraday's Law and Galilean Invariance 1.3.2 Ampère's Law and Conservation of Charge 1.4 Electromagnetic Waves 1.5 Conservation Equations 2 Field Energy and Momentum 2.1 Tensors and Conservation Equations 2.1.1 Momentum Flux Density Tensor 2.1.2 Momentum Flux, Gas Pressure and Fluid Equations 2.1.3 Cartesian Tensors, Some Definitions 2.2 Field Momentum and Maxwell Stress 2.2.1 Energy Conservation: Poynting's Theorem 2.2.2 Momentum Conservation: Maxwell Stress 2.3 Radiation Pressure 3 A Frame Invariant Electromagnetism 3.1 The Lorentz Transformation 3.2 The Moving Charge and Wire Experiment 3.3 Maxwell in Terms of Potentials 3.4 Generalized Coordinates 3.5 Four Vectors and Four Vector Calculus 3.5.1 Some Mechanics, Newton's Laws 3.5.2 Some Four Vector Calculus 3.6 A Frame Invariant Electromagnetism 3.6.1 Charge Conservation 3.6.2 A Manifestly Covariant Electromagnetism 4 The Field Tensors 4.1 Invariant Form for E and B: The EM Field Tensor 4.2 Maxwell's Equations in Invariant Form 4.3 Conservation of Energy-Momentum 4.4 Lorentz Force 4.4.1 Manifestly Covariant Electrodynamics 4.5 Transformation of the Fields 4.6 Field from a Moving Point Charge 4.7 Retarded Potential Appendix Suggested Texts Appendix Revision Problems A.1 Static Magnetic Fields A.2 Static Electric Fields A.3 Conservation and Poynting's Theorem A.4 The Wave Equation: Linearity and Dispersion A.5 Free Space EM Waves I A.6 Free Space EM Waves II A.7 EM Waves in a Dielectric A.8 Dielectrics and Polarization A.9 EM Waves in a Conductor: Skin Depth A.10 Cavity Resonator Appendix Solutions to Revision Problems B.1 Static Magnetic Fields B.2 Static Electric Fields B.3 Conservation and Poynting's Theorem B.4 The Wave Equation: Linearity and Dispersion B.5 Free Space EM Waves I B.6 Free Space EM Waves II B.7 EM Waves in a Dielectric B.8 Dielectrics and Polarization B.9 EM Waves in a Conductor: Skin Depth B.10 Cavity Resonator Appendix Some Advanced Problems C.1 Maxwell Stress Tensor C.2 Liouville and Vlasov Theorems: A Conservation Equation for Phase Space C.3 Newton's Laws and the Wave Equation Under Galilean Transformation C.4 Transformation of the Fields C.5 Metric for Flat Spacetime 1 C.6 Length of the EM Field Tensor in Spacetime C.7 Alternative Form for the Maxwell Homogenous Equations C.8 Lorentz Transformation of the EM Field Tensor Appendix Solution to Advanced Problems D.1 Maxwell Stress Tensor D.2 Liouville and Vlasov Theorems: A Conservation Equation in Phase Space D.3 Newton's Laws and the Wave Equation Under Galilean Transformation D.4 Transformation of the Fields D.5 Metric for Flat Spacetime D.6 Length of the EM Field Tensor in Spacetime D.7 Alternative Form for the Maxwell Homogenous Equations D.8 Lorentz Transformation of the EM Field Tensor Appendix Vector Identities E.1 Differential Relations E.2 Integral Relations Appendix Tensors F.1 Cartesian Tensors F.2 Special Tensors F.3 Generalized Tensors F.3F.1 General Properties of Spacetime F.3F.2 Flat Spacetime Appendix Units and Dimensions G.1 SI Nomenclature G.2 Metric Prefixes Appendix Dimensions and Units H.1 Physical Quantities H.2 Equations Appendix Physical Constants (SI) Index