Electromagnetic field theory

Harald J. W. Muller-Kirsten9789812388070, 981-238-807-9

The current book is an outgrowth of the lecture notes that I prepared for the four-credit course Electrodynamics that was introduced in the Uppsala University curriculum in 1992, to become the five-credit course Classical Electrodynamics in 1997. To some extent, parts of these notes were based on lecture notes prepared, in Swedish, by BENGT LUNDBORG who created, developed and taught the earlier, two-credit course Electromagnetic Radiation at our faculty.

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Table of contents :
Preface……Page 7
Contents……Page 9
List of Figures……Page 13
Classical Electrodynamics……Page 17
Coulomb’s law……Page 18
The electrostatic field……Page 19
Magnetostatics……Page 21
The magnetostatic field……Page 22
Electrodynamics……Page 24
Maxwell’s displacement current……Page 25
Electromotive force……Page 26
Faraday’s law of induction……Page 27
Maxwell’s macroscopic equations……Page 30
Electromagnetic duality……Page 31
Bibliography……Page 38
The wave equations……Page 41
The wave equation for B……Page 42
The time-independent wave equation for E……Page 43
Telegrapher’s equation……Page 46
Waves in conductive media……Page 47
Observables and averages……Page 49
Bibliography……Page 50
The electrostatic scalar potential……Page 51
The electrodynamic potentials……Page 52
Lorenz-Lorentz gauge……Page 54
Coulomb gauge……Page 57
Gauge transformations……Page 58
Bibliography……Page 61
The special theory of relativity……Page 63
The Lorentz transformation……Page 64
Lorentz space……Page 65
Minkowski space……Page 70
Covariant classical mechanics……Page 72
The four-potential……Page 74
The Liénard-Wiechert potentials……Page 75
The electromagnetic field tensor……Page 77
Bibliography……Page 80
Covariant equations of motion……Page 83
Lagrange-Hamilton formalism for fields and interactions……Page 89
Bibliography……Page 97
Electric multipole moments……Page 99
Magnetisation and the magnetising field……Page 102
Energy and momentum……Page 103
The momentum theorem in Maxwell’s theory……Page 104
Bibliography……Page 106
Electromagnetic Fields from Arbitrary Source Distributions……Page 109
The magnetic field……Page 111
The electric field……Page 112
The radiation fields……Page 114
Finite bandwidth signals……Page 117
Bibliography……Page 119
Radiation from a one-dimensional current distribution……Page 121
Radiation from a two-dimensional current distribution……Page 124
Multipole radiation……Page 127
The Hertz potential……Page 128
Electric dipole radiation……Page 131
Magnetic dipole radiation……Page 133
Electric quadrupole radiation……Page 134
The Liénard-Wiechert potentials……Page 135
Radiation from an accelerated point charge……Page 138
Bremsstrahlung……Page 149
Cyclotron and synchrotron radiation……Page 154
Radiation from charges moving in matter……Page 161
Bibliography……Page 168
Fields and potentials……Page 171
The far fields from a magnetic dipole……Page 172
Lorentz transformation of a four-vector……Page 173
Vector relations……Page 174
Vector formulae……Page 175
Bibliography……Page 177
Vectors……Page 179
Fields……Page 180
Vector algebra……Page 187
Vector analysis……Page 190
Hamilton’s equations……Page 196
Bibliography……Page 197
Index……Page 199