Published 2017
Table of Contents:
“…Preface xv Acknowledgments xix -- List of Figures xxi -- List of Tables xxxix -- List of Symbols xli List of Abbreviations xlv PART I: Introduction to Electromagnetism 1 Introduction 3 -- 2 The Microscopic Maxwell Equations 7 -- 2.1 Definition of the Electric Field 7 -- 2.2 Definition of the Magnetic Field 8 -- 2.3 The Microscopic Maxwell Equations in Integral and Differential Form 9 -- 2.4 Conservation Laws 12 -- 2.4.1 Conservation of Charge -- The Continuity Equation 12 -- 2.4.2 Conservation of Energy -- Poynting's Theorem 13 -- 2.4.3 Conservation of Linear Momentum -- The Electromagnetic Field Tensor 14 -- 2.4.4 Angular Momentum Conservation 15 -- 3 Potentials and Fields and the Lagrangian 17 -- 3.1 The Scalar and Vector Potential 17 -- 3.2 Gauge Invariance 19 -- 3.3 Lagrangian for an Electromagnetic Field Interacting with Charges and Currents 19 -- 4 The Macroscopic Maxwell Equations 23 -- 4.1 Constitutive Equations 23 -- 4.2 Boltzmann Transport Equation 24 -- 4.3 Currents in Metals 26 -- 4.4 Charges in Metals 29 -- 4.5 Semiconductors 30 -- 4.6 Currents in Semiconductors 31 -- 4.7 Insulators 36 -- 4.8 Dielectric Media 37 -- 4.9 Magnetic Media 41 -- 5 Wave Guides and Transmission Lines 45 -- 5.1 TEM Modes 47 -- 5.2 TM Modes 49 -- 5.3 TE Modes 49 -- 5.4 Transmission Line Theory -- S Parameters 50 -- 5.5 Classical Ghosts Fields 54 -- 5.6 The Static Approach and Dynamic Parts 56 -- 5.7 Interface Conditions 58 -- 5.8 Boundary Conditions 59 -- 6 Energy Calculations and the Poynting Vector 69 -- 6.1 Static Case 69 -- 6.2 High-Frequency Case 70 -- 7 From Macroscopic Field Theory to Electric Circuits 73 -- 7.1 Kirchhoff's Laws 73 -- 7.2 Circuit Rules 78 -- 7.3 Inclusion of Time Dependence 80 -- 8 Gauge Conditions 87 -- 8.1 The Coulomb Gauge 89 -- 8.2 The Lorenz Gauge 90 -- 8.3 The Landau Gauge 91 -- 8.4 The Temporal Gauge 94 -- 8.5 The Axial Gauge 95 -- 8.6 The 't Hooft Gauge 95 -- 9 The Geometry of
Electrodynamics 97 -- 9.1 Gravity as a Gauge Theory 98 -- 9.2 The Geometrical Interpretation of
Electrodynamics 104.…”
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