Multi-scale approach for the electromagnetic modelling of MEMS-controlled reflectarrays

A new approach, named the scale changing technique, is performed here for the electromagnetic modelling of reflect arrays controlled by radio-frequency micro- electromechanical switches. Based on the partition of the reflectarray surface in planar sub-domains with various scale levels, this technique derives the phase- shift dynamics from the simple cascade of networks, each network describing the electromagnetic coupling between two scale levels. Higher-order modes allow the accurate representation of the electromagnetic field local variation while lower-order modes are used for coupling the various scales.