I. Introduction
Recently, piezoelectric acoustic actuators have attracted a great deal of attention for ultra-slim portable electronic devices because of their obvious benefits of being thinner, more powerefficient and lighter than the traditional dynamic speakers [1]–[4]. While the traditional moving-coil speakers are usually thicker than 3 mm, the ultra-thin piezoelectric acoustic actuators can be thinner than 1 mm because they do not need any thick permanent magnet.