title: Discussion of one-D piezoelectric transducer models with loss.
abstract: Two, 1-dimensional piezoelectric transducer models are presented that use complex numbers to represent mechanical and dielectric loss. Exact numerical agreement was achieved by avoiding a number of small errors in the literature. A correction to Kino's simplified Mason parallel equivalent circuit is also given. Efficiency is discussed.
authors.forename: G
authors.initials: G
authors.lastname: Whitworth