Lecture Subjects: Invariance of Electric Charge, Covariance of Electrodynamics.

1. Maxwell's Equations
2. Gauge Transformations: Lorentz and Coulomb
3. Green's Function for the Wave Equation
4. Momentum for a System of Charge Particles and Electromagnetic Fields
5. Plane Waves in a Nonconducting Medium
6. Reflection and Refraction of Electromagnetic Waves
7. Fields at the Surface of and within a Conductor and Waveguides - Part 1
8. Fields at the Surface of and within a Conductor and Waveguides - Part 2
9. Waveguides & Modes in a Rectangular Waveguide
10. Energy Flow in Waveguides
11. Attenuation in Waveguides
12. Fields and Radiation of a Localized Oscillating Source
13. Electric Dipole Fields and Radiation - Part I
14. Electric Dipole Fields and Radiation - Part II
15. Magnetic Dipole and Quadrupole Fields - Part I
16. Magnetic Dipole and Quadrupole Fields - Part II
17. Multipole Expansion of the Electromagnetic Fields I
18. Multipole Expansion of the Electromagnetic Fields II
19. Angular Distribution & Sources of Multipole Radiation
20. Scattering at Long Wavelengths
21. Scattering by Dipoles and Small Dielectric Spheres
22. Scattering by a Small Perfectly Conducting Sphere
23. Perturbation Theory of Scattering
24. Born Approximation
25. Diffraction Theory
26. Diffraction by a Circular Aperture
27. Special Theory of Relativity & Lorentz Transformations
28. Proper Time & Time Dilation
29. Relativistic Doppler Shift
30. Relativistic Momentum and Energy of Particle
31. Mathematical Properties of the Space Time of Special Relativity
32. Invariance of Electric Charge
33. Covariance of Electrodynamics
34. Transformation of Electromagnetic Fields
35. Elementary Approach to a Relativistic Lagrangian
36. Hamiltonian for a Charge Particle Interacting with External Electromagnetic Fields,
37. Manifestly Covariant Treatment of the Relativistic Lagrangian
38. Lagrangian for the Electromagnetic Field
39. Canonical and Symmetric Stress Tensors
40. Conservation Laws
41. Solution of the Wave Equation in Covariant Form
42. Lienard-Wiechert Potentials and Fields for a Point Charge
43. Larmor's Formula
44. Larmor's Formula and Its Relativistic Generalization
45. Angular Distribution of Radiation Emitted by an Accelerated Charge
46. Distribution in Frequency Radiated by Accelerated Charges
47. Summary of Synchrotron Radiation & Cherenkov Radiation
48. Thomson Scattering & Radiative Reaction Force

This course is designed to introduce PhD level of Electromagnetic Theory. The subjects inculde the waveguides, radiating, systems, scattering and diffraction theory, special theory of relativity, dynamics of relativistic particles and radiation from relativistic particles.

Course Content: Diffraction radiation; introduction to special relativity and the covariant formulation; radiation from moving charges; multiple expansions; radiation reaction.