Applied Maths Research Seminar - 21 October

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Applied Maths Research Seminar - 21 October

Postby S.P. Courthold » Tue Oct 20, 2009 9:54 am

Research Institute for the Environment, Physical Sciences and Applied Mathematics
Applied Mathematics Research Seminar

Wednesday October 21st - MacKay 2.22 at 2:30pm.

Dr. Tony Mulholland
Dept of Mathematics and Statistics, University of Strathclyde

Enhancing the Performance of Piezoelectric Ultrasound Transducers by the use of Multiple Matching Layers

Abstract

This presentation provides an excellent example of the role of mathematical modelling in tackling an engineering problem. The engineering problem was to optimally design the impedance matching layers of an ultrasonic transducer. The large number of parameters, and the sensitivity of the device to these, make it difficult to solve without mathematical modelling. A mathematical model will be presented and then the inverse problem of using this to solve the problem posed. An elegant approach to solving this inverse problem using Chebychev polynomials will be shown. As a direct result of this work a device was designed and manufactured and its performance compared to that of a standard device and to the model predictions. Did it all work out for the mathematician ? Please come along to find out !
S.P. Courthold
 
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