Modern piezoceramic equivalent networks

Future applications for ferroelectric ceramics include thin-film resonant microstructures for timing, sensing, and actuation. The frequency range of interest extends from nearly DC through the UHF band. At high frequencies especially, it is difficult to obtain precise material parameters from broadband electrical measurements. We have developed highly accurate lumped equivalent networks for these frequencies, for the two canonical cases of thickness- and lateral-field excitation. Measurements on these circuits permit the extraction of the complex dielectric, piezoelectric, and elastic parameters of the ceramic material. A numerical example is given