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Electromagnetic Field Theory Complete Ebook and Lecture Notes PDF
Ravi Chopra

Electromagnetic Field Theory Complete Ebook and Lecture Notes PDF

Ravi Chopra | 16-Jan-2016 |
Classical Electrodynamics , Electromagnetic Waves , Electromagnetic Potentials , Relativistic Electrodynamics , Electromagnetic Fields and Particles , Electromagnetic Fields and Matter , Electromagnetic Fields from Arbitrary Source Distributions , Electromagnetic Radiation and Radiating Systems , Formulae , Mathematical Methods ,

Hi friends, here Ravi Chopra uploaded notes for Electromagnetic Field Theory with title Electromagnetic Field Theory Complete Ebook and Lecture Notes PDF. You can download this lecture notes, ebook by clicking on the below file name or icon.

1 Classical Electrodynamics 1
1.1 Electrostatics 2
1.1.1 Coulomb’s law 2
1.1.2 The electrostatic field 3
1.2 Magnetostatics 6
1.2.1 Ampère’s law 6
1.2.2 The magnetostatic field 7
1.3 Electrodynamics 9
1.3.1 Equation of continuity for electric charge 9
1.3.2 Maxwell’s displacement current 10
1.3.3 Electromotive force 10
1.3.4 Faraday’s law of induction 11
1.3.5 Maxwell’s microscopic equations 14
1.3.6 Maxwell’s macroscopic equations 14
1.4 Electromagnetic duality 15
1.5 Bibliography 22
2 Electromagnetic Waves 25
2.1 The wave equations 26
2.1.1 The wave equation for E 26
2.1.2 The wave equation for B 26
2.1.3 The time-independent wave equation for E 27
2.2 Plane waves 30
2.2.1 Telegrapher’s equation 31
2.2.2 Waves in conductive media 32
2.3 Observables and averages 33
2.4 Bibliography 34
3 Electromagnetic Potentials 35
3.1 The electrostatic scalar potential 35
3.2 The magnetostatic vector potential 36
3.3 The electrodynamic potentials 36
3.3.1 Lorenz-Lorentz gauge 38
3.3.2 Coulomb gauge 42
3.3.3 Gauge transformations 42
4 Relativistic Electrodynamics 47
4.1 The special theory of relativity 47
4.1.1 The Lorentz transformation 48
4.1.2 Lorentz space 49
4.1.3 Minkowski space 54
4.2 Covariant classical mechanics 57
4.3 Covariant classical electrodynamics 58
4.3.1 The four-potential 58
4.3.2 The Liénard-Wiechert potentials 59
4.3.3 The electromagnetic field tensor 61
4.4 Bibliography 64
5 Electromagnetic Fields and Particles 67
5.1 Charged particles in an electromagnetic field 67
5.1.1 Covariant equations of motion 67
5.2 Covariant field theory 73
5.2.1 Lagrange-Hamilton formalism for fields and interactions 73
5.3 Bibliography 81
6 Electromagnetic Fields and Matter 83
6.1 Electric polarisation and displacement 83
6.1.1 Electric multipole moments 83
6.2 Magnetisation and the magnetising field 86
6.3 Energy and momentum 88
6.3.1 The energy theorem in Maxwell’s theory 88
6.3.2 The momentum theorem in Maxwell’s theory 89
6.4 Bibliography 91
7 Electromagnetic Fields from Arbitrary Source Distributions 93
7.1 The magnetic field 95
7.2 The electric field 96
7.3 The radiation fields 99
7.4 Radiated energy 101
7.4.1 Monochromatic signals 101
7.4.2 Finite bandwidth signals 102
7.5 Bibliography 103
8 Electromagnetic Radiation and Radiating Systems 105
8.1 Radiation from extended sources 105
8.1.1 Radiation from a one-dimensional current distribution 106
8.1.2 Radiation from a two-dimensional current distribution 108
8.2 Multipole radiation 112
8.2.1 The Hertz potential 112
8.2.2 Electric dipole radiation 115
8.2.3 Magnetic dipole radiation 117
8.2.4 Electric quadrupole radiation 118
8.3 Radiation from a localised charge in arbitrary motion 119
8.3.1 The Liénard-Wiechert potentials 120
8.3.2 Radiation from an accelerated point charge 122
8.3.3 Bremsstrahlung 133
8.3.4 Cyclotron and synchrotron radiation 138
8.3.5 Radiation from charges moving in matter 145
8.4 Bibliography 152
F Formulae 155
F.1 The electromagnetic field 155
F.1.1 Maxwell’s equations 155
F.1.2 Fields and potentials 155
F.1.3 Force and energy 156
F.2 Electromagnetic radiation 156
F.2.1 Relationship between the field vectors in a plane wave 156
F.2.2 The far fields from an extended source distribution 156
F.2.3 The far fields from an electric dipole 156
F.2.4 The far fields from a magnetic dipole 157
F.2.5 The far fields from an electric quadrupole 157
F.2.6 The fields from a point charge in arbitrary motion 157
F.3 Special relativity 157
F.3.1 Metric tensor 157
F.3.2 Covariant and contravariant four-vectors 157
F.3.3 Lorentz transformation of a four-vector 158
F.3.4 Invariant line element 158
F.3.5 Four-velocity 158
F.3.6 Four-momentum 158
F.3.7 Four-current density 158
F.3.8 Four-potential 158
F.3.9 Field tensor 158
F.4 Vector relations 159
F.4.1 Spherical polar coordinates 159
F.4.2 Vector formulae 160
F.5 Bibliography 161
M Mathematical Methods 163
M.1 Scalars, vectors and tensors 163
M.1.1 Vectors 163
M.1.2 Fields 165
M.1.3 Vector algebra 171
M.1.4 Vector analysis 174
M.2 Analytical mechanics 180
M.2.1 Lagrange’s equations 180
M.2.2 Hamilton’s equations 180
M.3 Bibliography 181

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