The authors propose a new design concept for controlling the deflection of
a micro-membrane with the aid of its thickness distribution for realizing a
prescribed design in the MEMS. As an example, the authors treat a micro ai
r pump that comprises a micro-membrane. The membrane is actuated by an elec
trostatic force. The membrane deflects and thus the deflection is influence
d by the air pressure and the electrostatic field. This is a highly complic
ated system. To find out a proper thickness distribution, the authors use t
he genetic algorithm that is appropriate to reduce the searching space of s
olution.