Piezoelectric ultrasonic transducers with fractal geometry

Anthony Mulholland, Alan Walker

Research output: Contribution to journalArticle

Abstract

Piezoelectric ultrasonic transducers typically employ composite structures to improve their transmission and reception sensitivities. The geometry of the composite is regular with one dominant length scale and, since these are resonant devices, this dictates the central operating frequency of the device. In order to construct a wide bandwidth device it would seem natural therefore to utilize resonators that span a range of length scales. In this article we consider such a device and build a theoretical model to predict its performance. A fractal medium is used as this contains a wide range of length scales and yields to a renormalization approach. The propagation of an ultrasonic wave in this heterogeneous medium is then analyzed and used to construct expressions for the electrical impedance, and the transmission and reception sensitivities of this device as a function of the driving frequency. The results presented show a marked increase in the reception sensitivity of the device.


Original languageEnglish
Pages (from-to)469-479
Number of pages11
JournalFractals
Volume19
Issue number4
DOIs
Publication statusPublished - Dec 2011
Externally publishedYes

Fingerprint

Fractal Geometry
Ultrasonic transducers
Piezoelectric transducers
Transducer
Fractals
Acoustic impedance
Geometry
Ultrasonic waves
Composite structures
Length Scale
Resonators
Bandwidth
Composite materials
Ultrasonic Wave
Heterogeneous Media
Composite Structures
Resonator
Renormalization
Range of data
Theoretical Model

Keywords

  • Piezoelectric
  • Sierpinski Gasket
  • Fractal
  • Ultrasound
  • Transducer

Cite this

Mulholland, Anthony ; Walker, Alan. / Piezoelectric ultrasonic transducers with fractal geometry. In: Fractals. 2011 ; Vol. 19, No. 4. pp. 469-479.
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Piezoelectric ultrasonic transducers with fractal geometry. / Mulholland, Anthony; Walker, Alan.

In: Fractals, Vol. 19, No. 4, 12.2011, p. 469-479.

Research output: Contribution to journalArticle

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