3rd Edition

# Electromagnetics

1008 Pages
by CRC Press

1005 Pages
by CRC Press

Providing an ideal transition from introductory to advanced concepts, this book builds a foundation that allows electrical engineers to confidently proceed with the development of advanced EM studies, research, and applications. New topics include quasistatics, vector spherical wave functions, and wave matrices. Several application-oriented sections covering guided waves and transmission lines, particle dynamics, shielding, electromagnetic material characterization, and antennas have also been added. Mathematical appendices present helpful background information in the areas of Fourier transforms, dyadics, and boundary value problems.

Key Features

• Provides extensive end-of-chapter problems.
• Includes numerous solved examples with detailed explanations and interpretations.
• Introduces the reader to numerical electromagnetics and integral equations.
• Each chapter offers an introduction to an important application of electromagnetics.
• Emphasizes fundamentals, while covering all of the important topics in electromagnetics.
• 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.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

### Biography

Edward J. Rothwell received the BS degree from Michigan Technological University, the MS and EE degrees from Stanford University, and the PhD from Michigan State University, all in electrical engineering. He has been a faculty member in the Department of Electrical and Computer Engineering at Michigan State University since 1985, and currently holds the Dennis P. Nyquist Professorship in Electromagnetics. Before coming to Michigan State he worked at Raytheon and Lincoln Laboratory. Dr. Rothwell has published numerous articles in professional journals involving his research in electromagnetics and related subjects. He is a member of Phi Kappa Phi, Sigma Xi, URSI Commission B, and is a Fellow of the IEEE.

Michael J. Cloud received the BS, MS, and PhD degrees from Michigan State University, all in electrical engineering. He has been a faculty member in the Department of Electrical and Computer Engineering at Lawrence Technological University since 1987, and currently holds the rank of Associate Professor. Dr. Cloud has coauthored twelve other books. He is a senior member of the IEEE.