Optimal Control Theory Applied to Unintended Source Control and Field Shaping for Time-Harmonic Electromagnetic Waves

This paper addresses the experimental control of time-harmonic electromagnetic waves. The underlying optimal control problem aims to find a set of values to apply to control sources, located in the controlled region or on its boundary, allowing any electromagnetic field caused by an undesired noise source to be suppressed or replaced by any other field map. After a presentation of the control method, illustrated with a few numerical applications, two experimental setups are considered. The first setup aims to control the voltage within a mixed microstrip/coaxial transmission line. In the second setup, the electric field inside a cross-shaped waveguide network is controlled. For both setups, the working frequency is chosen in the ultra-high frequency range, and a comparison is made to the results given by the equivalent numerical models.