By using an atomic-force-microscope-based technique, we image the vibration
of high-frequency, bulk-mode, thin-film resonators. Our experimental techn
ique is capable of monitoring the vibration of these devices over a broad f
requency range, from 1 MHz to beyond 10 GHz, allowing us to obtain quantita
tive measurements of the piezoelectric properties of thin-film materials in
that frequency range. This technique allows us to map the complex vibratio
n modes of a new generation of high-frequency bulk piezoelectric resonators
, revealing the presence of vibration patterns of very different characteri
stic lengths. (C) 2000 American Institute of Physics. [S0003-6951(00)00726-
9].