Optimum design of circular CMUT membranes for high quality factor in air

This paper presents optimum design of circular membrane for high quality factor. A quality factor of CMUT, we designed for resonant chemical sensor, is dominated by Q<sub>air</sub> and Q<sub>support</sub>. We investigated these two factors independently. We calculate Q<sub>air</sub> of circular silicon membrane analytically, and numerically. Calculated Q<sub>air</sub> is compared to measured value. In order to find Q<sub>support</sub> empirically, we measured quality factor of CMUT in vacuum chamber. Q<sub>air</sub> is proportional to (radius/thickness)<sup>-2</sup> and Q<sub>support</sub> is proportional to (radius/thickness)<sup>3</sup>. Thus the optimum aspect ratio of membrane exists for maximum quality factor.