Introduction to Classical Electrodynamics 3 - Boucif Abdesselam

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Résumé :

Preface ix

Chapter 1 Waveguides 1

1.1. The different types of waveguides 1

1.2. Description of a guided wave 2

1.2.1. Propagation equation and field expressions 2

1.2.2. Classification of propagation modes 6

1.3. TE and TM modes in a hollow conducting waveguide 8

1.3.1. Rectangular waveguide 9

1.3.2. Attenuation coefficient in a lossy waveguide 24

1.3.3. Propagation between two parallel planes 29

1.3.4. Cylindrical waveguide 33

1.4. Dielectric waveguides 37

1.4.1. Propagation between two parallel dielectric planes 37

1.4.2. Step index optical fiber 44

1.4.3. Modes with azimuthal symmetry 45

1.4.4. Modes with azimuthal dependence 48

1.4.5. Propagation modes in weakly guiding fibers 54

1.5. Resonant cavities 59

1.5.1. Rectangular metallic resonant cavity 60

1.5.2. Cylindrical resonant cavity 65

Chapter 2 Transmission Lines 71

2.1. Parallel-plate transmission line 71

2.2. General formulation 73

2.3. Modeling of lossless transmission lines 78

2.4. Modeling of a transmission line with losses 79

2.5. Wave equations and sinusoidal solutions 82

2.6. Effects of losses in transmission lines 86

2.6.1. Low-loss limit 87

2.6.2. Distortionless lines 87

2.6.3. Solutions with arbitrary impedance at the line output 88

2.7. Resonance effect in a transmission line 94

2.8. Energy aspect in a transmission line 95

Chapter 3 Electromagnetic Radiation 99

3.1. Retarded potentials 99

3.1.1. Inhomogeneous wave equations 99

3.1.2. Solutions of the inhomogeneous wave equations 101

3.1.3. Solutions by Fourier analysis 102

3.2. Radiation from a localized oscillating source 106

3.2.1. Radiation from an electric dipole 113

3.2.2. Radiations from the magnetic moment and the electric quadrupole 119

3.2.3 Multipole radiation of order l ? 2 127

3.2.4. Energy and angular momentum of multipolar fields 132

3.3. Radiation from an extended source 135

Chapter 4 Radiation from Point Charges 145

4.1. Li?ard-Wiechert potentials 145

4.2. Fields of a moving point charge 147

4.3. Radiation from a charge in uniform motion 152

4.4. Radiation from a slowly moving charge 153

4.5. Radiation from a relativistic charge 154

4.5.1. Velocity and acceleration parallel 155

4.5.2. Acceleration perpendicular to velocity 158

4.5.3. General case 166

4.6. Frequency distribution of the radiated energy 170

4.7. Charge in instantaneous circular motion 177

4.8. Particle in circular motion 183

4.9. Thomson scattering of radiation 188

4.10. Cherenkov radiation 196

Chapter 5 Kirchhoff Diffraction 201

5.1. Initial value problem: Kirchhoff's integral representation 201

5.1.1. Green's function for the time-dependent wave equation 201

5.1.2. Cauchy problem 204

5.1.3. Poisson solution 205

5.1.4. Kirchhoff representation of the field 206

5.2. Kirchhoff integral for diffraction 207

5.3. Vector form of the Kirchhoff integral 212

5.4. Babinet's principle of complementary screens 217

5.5. Diffraction by a circular aperture 220

5.6. Scattering by a conducting sphere in the short-wavelength limit 231

Chapter 6 Theory of Special Relativity 241

6.1. Postulates of special relativity and Lorentz transformation 241

6.2. FitzGerald-Lorentz length contraction, time dilation and proper time 248

6.3. Law of addition of velocities 250

6.4. Four-dimensional Formalism 255

6.4.1. B...

Biographie:

Boucif Abdesselam is a professor in the Physics Department of the Faculty of Science and Technology at the Universit? Ain Temouchent Belhadj Bouchai, Algeria. He is also a member of the Theoretical Physics Laboratory at the University of Oran 1, Algeria.