The Effectiveness of a Sierpinski Carpet Inspired Transducer

Sara Canning, Alan Walker, Paul Roach

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

126 Wedi eu Llwytho i Lawr (Pure)

Crynodeb

Piezoelectric ultrasonic transducers have the ability to act both as a receiver and a transmitter of ultrasound. Standard designs have a regular structure and therefore operate effectively over narrow bandwidths due to their single length scale. Naturally occurring transducers benefit from a wide range of length scales giving rise to increased bandwidths. It is therefore of interest to investigate structures which incorporate a range of length scales, such as fractals. This paper applies an adaptation of the Green function renormalization method to analyse the propagation of an ultrasonic wave in a series of pre-fractal structures. The structure being investigated here is the Sierpinski carpet. Novel expressions for the non-dimensionalized electrical impedance and the transmission and reception sensitivities as a function of the operating frequency are presented. Comparisons of metrics between three new designs alongside the standard design (Euclidean structure) and the previously investigated Sierpinski gasket device are performed. The results indicate a significant improvement in the reception sensitivity of the device, and improved bandwidth in both the receiving and transmitting responses.
Iaith wreiddiolSaesneg
Rhif yr erthyglFRACTALS-S-16-00038
Nifer y tudalennau15
CyfnodolynFractals
Cyfrol25
Rhif cyhoeddi5
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 1 Medi 2017

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