- Week 1
Maxwell equations, Maxwell Displacement Current,
Vector and Scalar Potentials,
Gauge Transformations, Lorentz and Coulomb Gauge,
Green Function for the wave equations.
- Week 2
Green Function for the wave equation,
Poynting's theorem and conservation of energy,
Momentum for a system of charge particles and electromagnetic fields.
Plane waves in a nonconducting medium,
Linear and Circular Polarization,
Reflection and refraction of electromagnetic waves at a plane interface between dielectrics.
- Week 3
Fields at the Surface of and within a Conductor and Waveguides.
Modes in a rectangular waveguide,
Energy flow in waveguides.
- Week 4
Attenuation in Waveguides,
Fields and radiation of a localized oscillating source.
- Week 5
Electric Dipole Fields and Radiation
Magnetic dipole and Quadrupole Fields
- Week 6
Multipole Expansion of the Electromagnetic Fields
Angular Distribution of Multipole Radiation,
Sources of Multipole Radiation,
Scattering at Long Wavelengths.
- Week 7
Scattering by dipoles,
Scattering by a small dielectric sphere,
Scattering by a small perfectly conducting sphere.
Perturbation theory of scattering,
- Week 8
Diffraction by a Circular Aperture
Special Theory of Relativity,
- Week 9
Relativistic Doppler Shift
Addition of Velocities,
Relativistic Momentum and Energy of Particle,
Mathematical Properties of the Space Time of Special Relativity
- Week 10
Invariance of Electric Charge,
Covariance of Electrodynamics
Transformation of Electromagnetic Fields,
Elementary Approach to a Relativistic Lagrangian
- Week 11
Hamiltonian for a charge particle interacting with external electromagnetic fields,
Manifestly Covariant Treatment of the Relativistic Lagrangian
Motion in Combined, Uniform, Static Electric and Magnetic Field,
Lagrangian for the Electromagnetic Field
- Week 12
Canonical and Symmetric Stress Tensors,
Solution of the Wave Equation in Covariant Form,
Invariant Green Function
- Week 13
Lienard-Wiechert Potentials and Fields for a Point Charge.
Larmor's Formula and Its Relativistic Generalization
- Week 14
Angular Distribution of Radiation Emitted by an Accelerated Charge,
Distribution in Frequency Radiated by Accelerated Charges,
Summary of Bremsstrahlung Emission.
- Week 15
Summary of Synchrotron Radiation,
Radiative Reaction Force.
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