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Analysis of ultrasonic transducers with fractal architecture

Orr, L. and Mulholland, A.J. and O'Leary, R.L. and Hayward, G. (2008) Analysis of ultrasonic transducers with fractal architecture. Fractals, 16 (4). pp. 333-349. ISSN 0218-348X

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    Ultrasonic transducers composed of a periodic piezoelectric composite are generally accepted as the design of choice in many applications. Their architecture is normally very regular and this is due to manufacturing constraints rather than performance optimisation. Many of these manufacturing restrictions no longer hold due to new production methods such as computer controlled, laser cutting, and so there is now freedom to investigate new types of geometry. In this paper, the plane wave expansion model is utilised to investigate the behaviour of a transducer with a self-similar architecture. The Cantor set is utilised to design a 2-2 conguration, and a 1-3 conguration is investigated with a Sierpinski Carpet geometry.

    Item type: Article
    ID code: 13686
    Keywords: fractal, ultrasonic transducer, plane wave expansion, Mathematics, General, Modelling and Simulation, Geometry and Topology, Applied Mathematics
    Subjects: Science > Mathematics
    Department: Faculty of Science > Mathematics and Statistics > Mathematics
    Faculty of Science > Mathematics and Statistics
    Faculty of Engineering > Electronic and Electrical Engineering
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      Depositing user: Mrs Mary McAuley
      Date Deposited: 13 Jan 2010 11:24
      Last modified: 05 Sep 2014 01:10

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