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

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
Retarded potentials
Short dipole

Plane-wave reflection and transmission

Symmetry with respect to a plane, odd and even electromagnetic fields
Normal incidence
Oblique incidence

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
Circular waveguides and coaxial cables

• 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).