Propagation physics

The aim of this S5 course in propagation physics is to provide a theoretical basis for describing and analyzing propagation phenomena encountered by engineers in embedded electronics, particularly in interconnections and during electromagnetic radiation.
1 General information on waves.
2 One-dimensional propagation. Application: transmission lines.
3 Three-dimensional propagation. Free-space OEM in an LHI medium. Fresnel relations for OEM reflection and refraction.
4 Applications: Signal integrity in a transmission channel. Notion of EMC.

Basic electricity: voltage, current, impedance, power.
Notions of electromagnetism: electric and magnetic fields.
Mastery of vector, integral and differential calculus, including partial derivatives.

General information on waves
Propagation equation. Concept of wavefront, plane wave, homogeneous wave. Propagation velocities: phase, group, impulse, energy. Propagation phenomena encountered in electronics. One-dimensional propagation.
Theory of the perfect simple transmission line. Telegrapher's equations.
Resolution of a transient linked to a step. Transient analysis, adaptation and applications in electronics.
Permanent sinusoidal solution, reduced impedance, adaptation and Smith chart.
Losses taken into account.
Three-dimensional propagation.
Propagation of an electromagnetic wave in free space in vacuum and perfect dielectrics. Generalization to the monochromatic case for absorbing and dispersive media, using the formalism of complex quantities. Application of Fresnel's relations for reflection and refraction.
Applications: Notions of signal integrity and EMC in a propagation channel.

Course handout