Contents
Preface
Glossary
1. Maxwell's Equations
1.1 Review of familiar basics
1.2 Continuity equation; conservation of charge
1.3 Potentials, gauge invariance; radiation gauge, Lorentz gauge
1.4 Force, work, energy conservation
1.5 Conservation of momentum
1.6 Conservation of angular momentum
1.7 Virial theorem
2. Electromagnetic Pulses
2.1 Conserved energy, momentum, angular momentum
2.2 Energy velocity, momentum velocity
2.3 Unidirectional pulses
3. Lorentz Transformation
3.1 Coordinate transformation, 4-vector, 4-dyadic
3.2 Infinitesimal transformations; rapidity
3.3 Transformation laws for fields
3.4 4-columns, 4-rows
3.5 Finite Lorentz transformations
3.6 A digression: Dirac's magnetic monopole
4. 3+1 Dimensional Notation
4.1 Contravariant and covariant components
4.2 Field dyadic; energy-momentum dyadic
4.3 Wave 4-vector; 4-velocity; Doppler effect
5. Action, Reaction | Interaction
5.1 Action principles of classical mechanics
5.1.1 Lagrange's formulation
5.1.2 Hamilton's formulation
5.1.3 Schwinger's formulation
5.1.4 Velocity-dependent forces
5.2 Lagrange function of the electromagnetic field
5.3 Particles and fields in interaction
5.4 Disposing of the gauge-dependent terms
6. Retarded Potentials
6.1 Green's function
6.2 Lienard Wiechert potentials
6.3 Retarded time
7. Radiation Fields
7.1 Far fields
7.2 Emitted power
7.3 Larmor formula
7.4 Longitudinal and transverse components of a field
7.5 Charge point of view
7.6 Simple model antenna
8. Spectral Properties of Radiation
8.1 Fourier-transformed fields
8.2 Spectral distribution
8.3 Dipole approximation
8.4 Impulsive scattering
8.5 Bremsstrahlung
9. Time-Dependent Spectral Distribution
9.1 Time-dependent power spectrum
9.2 Constant acceleration
9.3 Cherenkov radiation
10. Synchrotron Radiation
10.1 Kinematics
10.2 Time-dependent spectrum
10.3 Total radiated power
10.4 Power emitted into the mth harmonic
10.5 High harmonics
10.6 "Roll over"
10.7 Polarization
10.8 Angular distribution
10.9 Qualitative picture
11. Scattering
11.1 Thomson scattering
11.2 Rayleigh scattering
12. Diffraction
12.1 Encounter with Huygens's principle
12.2 Large apertures
12.3 Single large circular aperture
12.3.1 Differential cross section
12.3.2 Total cross section
12.3.3 Small diffraction angles
12.4 Induced surface currents
12.5 Large obstacles
12.6 Poisson's spot
12.6.1 Bright center in the shadow
12.6.2 Size of the bright center
12.6.3 Central intensity behind a long strip
12.7 Diffraction at a straight edge
12.7.1 Transition region
12.7.2 Exact solution
Exercises with Hints
Exercises for Chapters 1-12
Hints
Electromagnetic Units
Index