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Preface

Preface

The second edition retains the flow and the flavor of the first edition, which was stated in the preface to the first edition. Item 1 describes this flavor in a few words.

  1. The millennium generation of students, immersed in computer culture, responds to teaching techniques that make heavy use of computers. They are very comfortable in writing the code to implement an algorithm. In this connection, I remember a graduate student doing research with me mentioning that his struggle is always in understanding the concept. Thus, my approach in teaching is to definitely include the simplest possible model that brings out the concept to the satisfaction of the student and then show how one can improve on the accuracy of the prediction of the performance of a more realistic model to be solved by using more advanced mathematical and computational techniques.

  2. It is important to include material that makes my comprehensive book a resource to be referred to when the student encounters, at some stage, topics that are not covered in one or two courses he/she could take using my book as textbook. Having taken one or two courses, the student should be able to quickly get to the new material in the book as and when needed and proceed in a mode of self-study.

  3. In view of the advances in the areas of electromagnetic metamaterials and plasmonics, the discussions of the underlying topics of “electromagnetics and plasmas” are strengthened in the second edition.

  4. In addition to correcting the typos and errors of the first edition and making a few minor changes of rearrangement of the material in the chapters, the following are the major additions in the second edition:

    1. Chapter 13 in Volume 1 is entirely new, bringing into focus direct solutions of Maxwell’s equations in the time domain (a rather long chapter). Section 13.2 reviews the one-dimensional solutions of bounded ideal transmission lines. Sections 13.3 and 13.4 introduce more advanced techniques to take care of the lossy transmission lines and direct solution based on the Klein–Gordon equation. Section 13.5 uses a nonlinear transmission line model to explain the soliton theory.

    2. Section 13.6 describes the charged particle dynamics based on Newtonian formulation as well as Lagrange and Hamiltonian formulations of equations of motion.

    3. The more advanced topics on charged particle dynamics such as generation of nuclear electromagnetic pulse (Section 13.7) and magnetohydrodynamics (Section 13.8), though not always done in an electromagnetics course unless the instructor wishes to lay the foundation for a course on electromagnetics and plasma science, are included for completeness. So is Section 13.10 on statistical mechanics and the Boltzmann equation.

    4. An emerging research area in electromagnetics is the effective use of space-time modulation of an electromagnetic medium for various applications. While the space variation is well understood with a long history of the study of inhomogeneous media, the study of the time-varying medium is of more recent origin. With the possibility of synthesizing metamaterials, researchers are exploring the exploitation of the effects that can be obtained by a simultaneous space-time modulation of the electromagnetic parameters to achieve the desired frequency and polarization changes of the waves. Section 13.9 gives the conceptual basis, while Appendix 13C explores an application of these concepts to conceive of a frequency and polarization transformer to convert a 10 GHz signal to a 1000 GHz signal by collapsing the ionization of a magnetoplasma in a cavity. The interesting physics that makes this possible is explained.

    5. Appendices 13A and 13B deal with Maxwell’s stress tensor and electromagnetic forces.

    6. Chapter 14 is an extensively revised Chapter 14 of the first edition and deals with uniform motion of the electromagnetic medium and Lorentz transformations. Its appendices deal with the application of the Lorentz transformations to the bounded moving magnetoplasma medium, including transmission, reflection, critical angle, Brewster angle, and other wave phenomena. Appendix 14G deals with Lienard–Wiechert potentials due to a point charge moving along a specified trajectory.

    7. Appendix 11C is unique to this book. We bring together the effects of anisotropy and time and spatial dispersion by discussing the reflection from a warm magnetoplasma slab. The problem is so formulated so as to highlight the effect of the temperature parameter of the warm magnetoplasma. The resonance of the X wave at the upper hybrid frequency of a cold plasma case is removed by the temperature parameter. In the neighborhood of the upper hybrid frequency, the characteristics of the waves change from basically electromagnetic wave to that of an electron plasma wave.

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