Università Roma Tre

Remind of vectorial analysis. Vectors. Scalar and vectorial fields. Differential operators. Orthogonal curvilinear systems of coordinates. Dirac function. Non-rotational and solenoidal fields. Hints of dyadic analysis.

Fundamental equations of the electromagnetic field. Maxwell’s equations. Constitutive relations. Boundary conditions. Classification of electromagnetic problems. Poynting and uniqueness Theorems.

Equations of the electromagnetic field in the frequency domain. Reminds on representation of sinusoidal time dependence and Fourier Transform methods. Complex vectors. Constitutive relations and boundary conditions in the frequency domain. Non-polar dispersive dielectric. Pointing’s and uniqueness theorems in the frequency domain.

Plane waves. Helmholtz equation. Electrodynamic potential functions. Wavefunction. Plane waves in free space and their propagation. Polarization. Uniform plane waves in a non-dispersive medium (with and without dissipation). Secondary constants. Plane-wave spectrum. Group velocity.

Reflection and refraction of plane waves. Normal incidence. Oblique incidence.

Transmission lines. Telegraphist’s equations and their solution. Impedance, admittance and reflection coefficients. Standing wave ratio. Reflection of plane waves studied by means of transmission lines.
Waveguides. Cylindrical symmetry. TM, TE, and TEM transmission lines. Metallic waveguides. Eingenvalue problems. Mode propagation. Rectangular waveguide.
Electromagnetic field radiated by an assigned distribution of currents. Deterministic problem. Green’s functions. Free space Green’s function. General and approximate solutions. Retarded potentials. Reciprocity and equivalence theorems. Basic notions on antennas. Hertz dipole.

In class exercises are integral part of the Course.

G. Gerosa, P. Lampariello, "Lezioni di Campi elettromagnetici", Edizioni Ingegneria 2000, seconda edizione, 2006.
G. Franceschetti, “Electromagnetics. Theory, Techniques, and Engineering Paradigms”, Ed: Kluwer Academic/Plenum Publishers, 1997.
G. Conciauro, “Introduzione alle onde elettromagnetiche”, Ed: Mc-Graw-Hill, 1993.