Page 7 - Electromagnetics

Preface

This book is intended as a text for a first-year graduate sequence in engineering electro-
magnetics. Ideally such a sequence provides a transition period during which a student
can solidify his or her understanding of fundamental concepts before proceeding to spe-
cialized areas of research.
The assumed background of the reader is limited to standard undergraduate topics
in physics and mathematics. Worthy of explicit mention are complex arithmetic, vec-
tor analysis, ordinary differential equations, and certain topics normally covered in a
“signals and systems” course (e.g., convolution and the Fourier transform). Further an-
alytical tools, such as contour integration, dyadic analysis, and separation of variables,
are covered in a self-contained mathematical appendix.
The organization of the book is in six chapters. In Chapter 1 we present essential
background on the field concept, as well as information related specifically to the electro-
magnetic field and its sources. Chapter 2 is concerned with a presentation of Maxwell’s
theory of electromagnetism. Here attention is given to several useful forms of Maxwell’s
equations, the nature of the four field quantities and of the postulate in general, some
fundamental theorems, and the wave nature of the time-varying field. The electrostatic
and magnetostatic cases are treated in Chapter 3. In Chapter 4 we cover the representa-
tion of the field in the frequency domains: both temporal and spatial. Here the behavior
of common engineering materials is also given some attention. The use of potential
functions is discussed in Chapter 5, along with other field decompositions including the
solenoidal–lamellar, transverse–longitudinal, and TE–TM types. Finally, in Chapter 6
we present the powerful integral solution to Maxwell’s equations by the method of Strat-
ton and Chu. A main mathematical appendix near the end of the book contains brief but
sufficient treatments of Fourier analysis, vector transport theorems, complex-plane inte-
gration, dyadic analysis, and boundary value problems. Several subsidiary appendices
provide useful tables of identities, transforms, and so on.
We would like to express our deep gratitude to those persons who contributed to the
development of the book. The reciprocity-based derivation of the Stratton–Chu formula
was provided by Prof. Dennis Nyquist, as was the material on wave reflection from
multiple layers. The groundwork for our discussion of the Kronig–Kramers relations was
provided by Michael Havrilla, and material on the time-domain reflection coefficient was
developed by Jungwook Suk. We owe thanks to Prof. Leo Kempel, Dr. David Infante,
and Dr. Ahmet Kizilay for carefully reading large portions of the manuscript during its
preparation, and to Christopher Coleman for helping to prepare the figures. We are
indebted to Dr. John E. Ross for kindly permitting us to employ one of his computer
programs for scattering from a sphere and another for numerical Fourier transformation.
Helpful comments and suggestions on the figures were provided by Beth Lannon–Cloud.

© 2001 by CRC Press LLC