(Advanced Electrodynamics (1
- Dirichlet and Neumann boundary-value problems in electrostatics
- Derivation of Green’s functions using the method of images
- Boundary-value problem of Laplace’s equation in spherical coordinates with and without azimuthal symmetry
- Solving Laplace’s equation with boundary conditions in cylindrical coordinates
- Expansion of the Green’s functions in spherical and cylindrical coordinates
- Expansion of Green’s functions in eigenfunctions of a related problem
- Cauchy boundary condition in electrostatics, Multipole expansion of potential and energy for localized charge distributions
- Boundary value-problems in electrostatic with dielectrics, Electrostatic energy in dielectric media
- Faraday’s law of induction and quasi-static fields, Maxwell equations for magnetostatics
- Biot-Savart law, Ampere’s law, Boundary conditions in magnetostatics
- Solving boundary-value problems in magnetostatics using the vector and scalar potentials for diamagnetic, paramagnetic and ferromagnetic media
- Energy in magnetic fields, Self-inductance and mutual-inductance, Eddy currents
- Displacement current and Maxwell equations, Lorentz and Coulomb gauges, Green’s functions for the wave equation
- Jefimenko’s generalization, Poynting’s theorem for dispersive media with losses and for harmonic fields
- Conservation of energy and momentum for electromagnetic fields
- Magnetic monopoles and Dirac quantization condition, Hertz vectors, Plane electromagnetic waves, Wave propagation in dielectric and conductor media