Jones / Sneddon / Ulam The Theory of Electromagnetism

1. Auflage 2013
ISBN: 978-1-4832-7904-6
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 824 Seiten, Web PDF

The Theory of the Electomagnetism covers the behavior of electromagnetic fields and those parts of applied mathematics necessary to discover this behavior. This book is composed of 11 chapters that emphasize the Maxwell's equations. The first chapter is concerned with the general properties of solutions of Maxwell's equations in matter, which has certain macroscopic properties. The succeeding chapters consider specific problems in electromagnetism, including the determination of the field produced by a variable charge, first in isolation and then in the surface distributions of an antenna. The next two chapters are concerned with the effects of surrounding the medium by a perfectly conducting boundary as in a cavity resonator and as in a waveguide. Other chapters are devoted to discussions on the effect of a plane interface where the properties of the medium change discontinuously; the propagation along cylindrical surfaces; the study of the waves scattered by objects both with and without edges. This book further reviews the harmonic waves and the difficulties involved in going from harmonic waves to those with a more general time dependence. The final chapter provides some information about the classical theory of electrons, magneto-hydrodynamics and waves in a plasma. This book will prove useful to physicists, and physics teachers and students.

Autoren/Hrsg.

Jones, D. S.

Sneddon, I. N.

Ulam, S.

Stark, M.

Inhaltsverzeichnis

1;Front Cover;1
2;The Theory of Electromagnetism;4
3;Copyright Page;5
4;Table of Contents;8
5;Dedication;6
6;CHAPTER 1. THE REPRESENTATION OF THE ELECTROMAGNETIC FIELD;18
6.1;Maxwell's Equations;18
6.2;Macroscopic Properties of Matter;22
6.3;The Electromagnetic Potentials;29
6.4;Orthogonal Curvilinear Coordinates;37
6.5;Integral Representations;51
6.6;Boundary Conditions;63
6.7;Stress and Energy;66
6.8;Harmonic Waves;70
6.9;Exercises;112
7;CHAPTER 2. THE SPECIAL THEORY OF RELATIVITY;117
7.1;Tensor Calculus;117
7.2;Tensor in Three-dimensional space;123
7.3;The Lorentz Transformation;132
7.4;Relativistic Mechanics;139
7.5;Electrodynamics in Free Space;143
7.6;Electrodynamics in Moving Media;150
7.7;Exercises;157
8;CHAPTER 3. RADIATION;160
8.1;The Field of a Moving Point Charge;160
8.2;The Field of a Variable Charge;169
8.3;The Characteristics of Linear Antenna Systems;175
8.4;The Antenna Boundary Value Problem;193
8.5;Exercises;209
9;CHAPTER 4. CAVITY RESONATORS;212
9.1;The Theory of Eigenfunctions;212
9.2;Linear Operators;221
9.3;The Eigenvalues of Differential Operators;231
9.4;Cavity Resonators;237
9.5;Perturbation Theory;248
9.6;Exercises;254
10;CHAPTER 5. THE THEORY OF WAVEGUIDES;257
10.1;Junctions;271
10.2;Determination of Matrix Elements;278
10.3;Ferrites in Waveguides;307
10.4;Radiation from Waveguides and Horns;314
10.5;Exercises;323
11;CHAPTER 6. REFRACTION;328
11.1;The Homogeneous Isotropic Medium;328
11.2;The Homogeneous Anisotropic Medium;346
11.3;The Inhomogeneous Isotropic Medium;351
11.4;Propagation over a plane earth;380
11.5;Exercises;424
12;CHAPTER 7. SURFACE WAVES;432
12.1;Propagation along a Cylindrical Surface;432
12.2;Propagation along a plane surface;445
12.3;The Polyrod Antenna;449
12.4;Exercises;452
13;CHAPTER 8. SCATTERING BY OBJECTS WITHOUT EDGES;455
13.1;Asymptotic Evaluation of Integrals;455
13.2;Two-Dimensional Scattering Problems;467
13.3;Three-Dimensional Scattering Problems;498
13.4;Arbitrary Curved Obstacles;545
13.5;Assemblages of Particles;561
13.6;Exercises;572
14;CHAPTER 9. DIFFRACTION BY OBSTACLES WITH EDGES;579
14.1;General Results;579
14.2;Transform Techniques;590
14.3;Separation of Variables;632
14.4;Approximate Methods;638
14.5;Exercises;671
15;CHAPTER 10. APERIODIC PHENOMENA;675
15.1;Methods for Partial Differential Equations;679
15.2;Propagation of Waves;698
15.3;Exercises;713
16;CHAPTER 11. MISCELLANEOUS TOPICS;716
16.1;The Theory of Electrons;716
16.2;The Theory of Fluid Motion;731
16.3;Magneto Hydrodynamics;753
16.4;Plasma Dynamics;783
16.5;Exercises;805
17;TABLES;809
18;AUTHOR INDEX;810
19;SUBJECT INDEX;818