Abstract

The application of atomic force microscopy (AFM) for mode shape imaging of both out-of-plane and in-plane vibrating RF micromechanical resonators is described in this work. The modulation of the amplitude of the resonator together with the lock-in detection of the AFM signal at the modulation frequency allows to achieve picometer-scale sensitivity for detecting the resonator vibration at arbitrarily large frequencies. We compare the application of this method for the characterization of the main out-of-plane thickness mode of an AlN film bulk acoustic resonator (FBAR) at 1.595 GHz and the in-plane vibrating first radial and wine-glass modes of a poly-SiGe disk resonator at 34.5 and 47.6 MHz, respectively. Our results demonstrate the capability of this method to image in-plane vibrating modes by measuring their small Poisson-coupled out-of-plane component.

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