A finite element approach to modelling fractal ultrasonic transducers

摘要: Piezoelectric ultrasonic transducers usually employ composite structures to improve their transmission and reception sensitivities. The geometry of the is regular with one dominant length scale and, since these are resonant devices, this dictates central operating frequency device. In order construct a wide bandwith device it would seem natural therefore utilize resonators that span range scales. article we derive mathematical model predict dynamics fractal ultrasound transducer; in case being Sierpinski gasket. Expressions for electrical mechanical fields contained within structure expressed terms finite element basis. propagation an wave transducer then analyzed used expressions non-dimensionalised impedance sensitivities as function driving frequency. Comparing key performance measures equivalent standard (Euclidean) design shows some benefits designs.