To learn the foundations of electromagnetic field theory finalized to the analysis and design of electromagnetic systems to be used in electronics, biomedical engineering and telecommunications.
teacher profile | teaching materials


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. Hertz dipole. Basic notions on antennas.

In class exercises are integral part of the Course.

Core Documentation

G. Gerosa, P. Lampariello, "Lezioni di Campi elettromagnetici", Edizioni Ingegneria 2000, seconda edizione, 2006.
Slides from lessons, available on Roma Tre telematic platform.

Reference Bibliography

F. Frezza "A Primer on electromagnetic fields", Springer, 2015 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.

Type of delivery of the course

Front lessons, numerical exercise and applications to didactic and design problems.


Attendance is highly recommended in order to acquire regularly and continuously the concepts of the Course, the theoretical and numerical methods are applied to exercise didactic and project cases. Interaction in class promotes both attention and effective learning.

Type of evaluation

It is possible to undergo to a test 'in itinere' about at half of the Course. If the test is passed, then a final exam on the remaining part of the Course will have to be sustained.