Dr. Aleksandar Gjurcinovski, Professor
Course content:
1. Special theory of relativity: Historical development, inertial systems and Galileo's principle of invariance. Lorentz transformations. Minkovski's space. Relativistic mechanics. Basics of relativistic optics. Four-dimensional vectors and tensors. Riemann space.
2. Electromagnetic field equations: Maxwell's equations and their solutions. Scalar and vector potential. Poisson's equation. Electrostatics and magnetostatics. Multiple decompositions. Electrodynamics in Lorentz calibration condition. Inhomogeneous wave equation and retardation time.
3. Electromagnetic waves: Electromagnetic waves in a vacuum. Electromagnetic waves in material environments. Boundary conditions. Rejection and refraction of plane electromagnetic waves by dielectrics environments. Fresnel's equations. Repulsion of electromagnetic waves by metallic media. Absorption and dispersion of electromagnetic waves. Waveguides.
4. Electric charges in motion: Retardation potentials. Yefimenko's equations. Liénard–Wiechert potentials. Electromagnetic field of a moving point charge.
5. Electromagnetic radiation: Radiation power from a charge in motion of a general nature. Radiation from harmonic variable sources. Radiation from an electric and magnetic dipole. Larmor and Lennard formulas. Electromagnetic response and Abraham-Lorentz-Dirac equations. Synchrotron radiation. Stopping radiation (bremsstrahlung). Scattering.
6. Relativistic electrodynamics: Covariant formulation of electrodynamics. Tensor of electromagnetic field. Quadripotentials. Lagrangian and Hamiltonian formalism in electrodynamics.