Università Roma Tre

PART I

Topics in algebra and calculus:
Linear spaces, scalar and vector products, algebraic identities.
Scalar and vector fields. First- and second-order differential operators. Differential identities.
Irrotational and solenoidal fields. Scalar and vector potentials.
Dirac function.
Dyadic product.

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.


PART II

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

Plane-wave reflection and transmission:
Normal incidence
Oblique incidence

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 far-field approximations
Short dipole
Notes on the characteristic parameters of antennas

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
Notes on circular waveguides and coaxial cables

Testi di riferimento:
• G. Gerosa, P. Lampariello - Lezioni di Campi elettromagnetici - Ed. Ingegneria 2000, Roma, 2006, seconda edizione.
• Supplementary teaching handouts (by the lecturer)
• Electromagnetic fields exercises done (by the lecturer)

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