Page 9 - Electromagnetics

Contents

Preface

1 Introductory concepts
1.1 Notation, conventions, and symbology
1.2 The field concept of electromagnetics
1.2.1 Historical perspective
1.2.2 Formalization of field theory
1.3 The sources of the electromagnetic field
1.3.1 Macroscopic electromagnetics
1.3.2 Impressed vs. secondary sources
1.3.3 Surface and line source densities
1.3.4 Charge conservation
1.3.5 Magnetic charge
1.4 Problems

2 Maxwell’s theory of electromagnetism
2.1 The postulate
2.1.1 The Maxwell–Minkowski equations
2.1.2 Connection to mechanics
2.2 The well-posed nature of the postulate
2.2.1 Uniqueness of solutions to Maxwell’s equations
2.2.2 Constitutive relations
2.3 Maxwell’s equations in moving frames
2.3.1 Field conversions under Galilean transformation
2.3.2 Field conversions under Lorentz transformation
2.4 The Maxwell–Boffi equations
2.5 Large-scale form of Maxwell’s equations
2.5.1 Surface moving with constant velocity
2.5.2 Moving, deforming surfaces
2.5.3 Large-scale form of the Boffi equations
2.6 The nature of the four field quantities
2.7 Maxwell’s equations with magnetic sources
2.8 Boundary (jump) conditions
2.8.1 Boundary conditions across a stationary, thin source layer
2.8.2 Boundary conditions across a stationary layer of field discontinuity
2.8.3 Boundary conditions at the surface ofa perfect conductor

© 2001 by CRC Press LLC