Università Roma Tre

Fundamental equations of electromagnetic fields
Maxwell equations in time and frequency domains. Constitutive relations in time and frequency domains.
Boundary conditions in time and frequency domains. Complex representations. Complex vectors and polarization properties of electromagnetic fields. Fourier transform. Poynting theorem in time and frequency domains. Uniqueness theorems in time and frequency domains.

Plane waves
Helmholtz equation. Wave functions. Plane waves in free space. Propagation and polarization features of plane waves. Secondary constants of media. Polychromatic fields. Group velocity.


Electromagnetic field excited by impressed sources
Electrodynamic potentials. Deterministic problem. Green's functions. Electromagnetic field excited by impressed currents in free space: formulation of the problem. Green's function for free space
Electromagnetic field excited by impressed currents in free space: general solution and its approximations. Short dipole

Plane-wave reflection and transmission
Normal incidence. Oblique incidence. Applications to biological media.

Transmission lines
Transmission-line (or telegraphers') equations. Solutions of the transmission-line equations. Impedance, admittance and reflection coefficients.
Standing-wave ratio. Transmission-line formalism for the study of reflection and transmission of plane waves.
Smith diagram and impedance matching with stubs.

Waveguides
Structures with cylindrical symmetry. Transmission lines associated with TM, TE and TEM waves. Hollow metallic waveguides. Eigenvalue problems. Modal propagation in hollow metallic waveguides. Rectangular waveguides

F. Frezza - A Primer on Electromagnetic Fields - Ed Springer International Publishing Switzerland, 2015, (1° ed).

Other suggested texts:
C. A. Balanis - Advanced engineering electromagnetics - John Wiley & Sons, New York, 1989.
J. Van Bladel - Electromagnetic Fields - Hemisphere Publ. Corp., Washington, 1985.