Electromagnetics (Hardcover, 3)

1 Introductory concepts

1.1 Notation, conventions, and symbology

1.2 The field concept of electromagnetics

1.3 The sources of the electromagnetic field

1.4 Problems

2 Maxwell's theory of electromagnetism

2.1 The postulate

2.2 The well-posed nature of the postulate

2.3 Maxwell's equations in moving frames

2.4 The Maxwell-Boffi equations

2.5 Large-scale form of Maxwell's equations

2.6 The nature of the four field quantities

2.7 Maxwell's equations with magnetic sources

2.8 Boundary (jump) conditions

2.9 Fundamental theorems

2.10 The wave nature of the electromagnetic field

2.11 Application: single charged particle motion in static electric and magnetic fields

2.12 Problems

3 The static and quasistatic electromagnetic fields

3.1 Statics and quasistatics

3.2 Static fields and steady currents

3.3 Electrostatics

3.4 Magnetostatics

3.5 Static field theorems

3.6 Quasistatics

3.7 Application: electromagnetic shielding

3.8 Problems

4 Temporal and spatial frequency domain representation

4.1 Interpretation of the temporal transform

4.2 The frequency-domain Maxwell equations

4.3 Boundary conditions on the frequency-domain fields

4.4 The constitutive and Kramers-Kronig relations

4.5 Dissipated and stored energy in a dispersive medium

4.6 Some simple models for constitutive parameters

4.7 Monochromatic fields and the phasor domain

4.8 Poynting's theorem for time-harmonic fields

4.9 The complex Poynting theorem

4.10 Fundamental theorems for time-harmonic fields

4.11 The wave nature of the time-harmonic EM field

4.12 Interpretation of the spatial transform

4.13 Spatial Fourier decomposition

4.14 Periodic fields and Floquet's theorem

4.15 Application: electromagnetic characterization of materials

4.16 Problems

5 Field decompositions and the EM potentials

5.1 Spatial symmetry decompositions

5.2 Solenoidal-lamellar decomposition and the electromagnetic potentials

5.3 Transverse-longitudinal decomposition

5.4 TE-TM decomposition

5.5 Solenoidal-lamellar decomposition of solutions to the vector wave equation and the vector spherical wave functions

5.6 Application: guided waves and transmission lines

5.7 Problems

6 Integral solutions of Maxwell's equations

6.1 Vector Kirchhoff solution

6.2 Fields in an unbounded medium

6.3 Fields in a bounded, source-free region

6.4 Application: antennas

6.5 Problems

7 Integral equations in electromagnetics

7.1 A brief overview of integral equations

7.2 Plane-wave reflection from an inhomogeneous region

7.3 Solution to problems involving thin wires

7.4 Solution to problems involving two-dimensional conductors

7.5 Scattering by a penetrable cylinder

7.6 Apertures in ground planes

7.7 Application: electromagnetic shielding revisited

7.8 Problems

Appendix A Mathematical appendix

A.1 Conservative Vector Fields

A.2 The Fourier transform

A.3 Vector transport theorems

A.4 Dyadic analysis

A.5 Boundary value problems

Appendix B Useful identities

Appendix C Fourier transform pairs

Appendix D Coordinate systems

Appendix E Properties of special functions

E.1 Bessel functions

E.2 Legendre functions

E.3 Spherical harmonics

Appendix F Derivation of an integral identity