The use of fractal geometry in the design of piezoelectric ultrasonic transducers

Anthony Mulholland, John MacKersie, Richard O'Leary, Anthony Gachagan, A. Walker, Sivaram Nishal Ramadas

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

9 Citations (Scopus)


The geometry of composite piezoelectric ultrasonic transducers is typically regular and periodic with one dominant length scale. In many applications there is motivation to design transducers that operate over a wide bandwidth so that, for example, signals containing a broad frequency content can be received. The device's length scale will dictate the central operating frequency of the device and so, in order to construct a wide bandwidth device, it would seem natural to design a device that contains a range of length scales. The objective of this article therefore is to consider one such transducer design and build a theoretical model to assess its performance. For the composite geometry a fractal medium is chosen as this contains a wide range of length scales. Numerical results of a theoretical model are presented. They suggest that this device would have a three-fold improvement in the reception sensitivity bandwidth as compared to a conventional composite design. Finite-element analysis provides information on the effect of poling on the device's performance. A preliminary experimental investigation was undertaken, with a Sierpinski gasket fractal transducer design, and good correlation between the simulated and experimentally measured operation was observed.
Original languageEnglish
Title of host publication2011 IEEE International Ultrasonics Symposium (IUS)
Place of PublicationPiscataway, NJ, United States
Number of pages4
ISBN (Print)9781457712531
Publication statusPublished - 2011
EventIEEE International Ultrasonics Symposium (IUS) - Florida, United States
Duration: 18 Oct 201121 Oct 2011


ConferenceIEEE International Ultrasonics Symposium (IUS)
Country/TerritoryUnited States


  • Sierpinski gasket fractal transducer design
  • composite geometry
  • FEA
  • composite piezoelectric ultrasonic transducers
  • finite-element analysis


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