Lectures on classical electrodynamics

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