A novel linearly tunable butterfly-shape MEMS capacitor

A new MEMS tunable capacitor with linear capacitance–voltage (C–V) response is introduced. The design is developed based on a parallel-plate configuration and uses the structural lumped flexibility and geometry optimization to obtain a linear response. The moving electrode is divided into two segments connected to one another by a torsional spring. There are extra beams located between the two plates, which constrain the displacement of the moving plate. The resulting nonlinear structural rigidity provides the design with higher tunability than the parallel-plate ones. Furthermore, because the plate's displacement is controlled, the shape of C–V curve changes in such a way that high linearity is achieved. The proposed design can be fabricated by a three-structural-layer process such as PolyMUMPs. The results of analytical solution and experimental measurements verify that the new capacitor can produce tunability of over 100% with high linearity. The introduced design methodology can further be extended to flexible plates and beams to obtain smooth C–V curves.