Chirgwin / Plumpton / Kilmister Maxwell's Equations and Their Consequences

Elementary Electromagnetic Theory
1. Auflage 2013
ISBN: 978-1-4831-5640-8
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 170 Seiten, Web PDF

Elementary Electromagnetic Theory Volume 3: Maxwell's Equations and their Consequences is the third of three volumes that intend to cover electromagnetism and its potential theory. The third volume considers the implications of Maxwell's equations, such as electromagnetic radiation in simple cases, and its relation between Maxwell's equation and the Lorenz transformation. Included in this volume are chapters 11-14, which contain an in-depth discussion of the following topics: • Electromagnetic Waves • The Lorentz Invariance of Maxwell's Equation • Radiation • Motion of Charged Particles Intended to serve as an introduction to electromagnetism and potential theory, the book is for second, third, and fourth year undergraduates of physics and engineering, as they are included in their course of study. Do note that the authors assume that the readers are conversant with the basic ideas of vector analysis, including vector integral theorems.

Autoren/Hrsg.

Chirgwin, B. H.

Plumpton, C.

Kilmister, C. W.

Inhaltsverzeichnis

1;Front Cover;1
2;Maxwell's Equations and their Consequences;4
3;Copyright Page;5
4;Table of Contents;6
5;Preface to Volume 3;8
6;CHAPTER 11. ELECTROMAGNETIC WAVES;10
6.1;11.1 Plane electromagnetic waves;10
6.2;11.2 Reflection and transmission: normal incidence;13
6.3;11.3 Reflection and refraction: oblique incidence;24
6.4;11.4 Energy relations for oblique incidence;29
6.5;11.5 Total internal reflection;33
6.6;11.6 Propagation of waves in a conducting medium;36
6.7;11.7 Waveguides;42
6.8;11.8 The transmission line;61
7;CHAPTER 12. THE LORENTZ INVARIANCE OF MAXWELL'S EQUATIONS;80
7.1;12.1 Groups of transformations;80
7.2;12.2 Four-vectors and six-vectors;84
7.3;12.3 The Lorentz group;88
7.4;12.4 Maxwell's equations;92
7.5;12.5 The electromagnetic potentials;98
8;CHAPTER 13. RADIATION;105
8.1;13.1 General properties of radiation;105
8.2;13.2 The Hertz vector;106
8.3;13.3 Solutions with axial symmetry;109
8.4;13.4 Discussion of the field strength;111
8.5;13.5 Interpretation of the results;113
8.6;13.6 Other kinds of radiative solutions;115
8.7;13.7 The fields of moving charges;119
8.8;13.8 The Liénard-Wiechert potentials;122
8.9;13.9 Calculation of the field strengths;124
9;CHAPTER 14. THE MOTION OF CHARGED PARTICLES;138
9.1;14.1. Introduction;138
9.2;14.2 Non-relativistic motion of an electric charge in an electromagnetic field;139
9.3;14.3 Charged particles and currents;154
9.4;14.4 Relativistic motion of charges;157
10;ANSWERS TO THE EXERCISES;168
11;INDEX;170