September 13, 2012
Funded research studentship with Dr Alan Walker investigating Ultrasonic Transducers.
Update: Position has now been filled.
As part of the University of Glamorgan’s centenary celebrations, 20 scholarships have been made available for excellent UK and EU applicants wishing to study towards a PhD. One of these scholships is in Mathematics under the guidance of Dr. Alan Walker investigating “Mathematical Modelling of Novel Ultrasonic Transducers with Fractal Geometries”
Ultrasonic devices are used in the medical, aeronautical and oil industries. Piezoelectric ultrasonic transducers typically employ composite structures to improve their transmission and reception sensitivities. Mathematical modelling of new transducers can assist the construction of devices having wide bandwidths.
In order to construct devices of wide bandwidths, the use of resonators that span a range of length scales (for example fractals), is appropriate. Dr Walker, the Director of Studies for this project, has previously investigated Sierpinski gasket-like composite structures [1,2]. This project concerns the design and mathematical modelling of novel piezoelectric ultrasonic transducers incorporating other fractal geometries.
The successful applicant shall join a growing PhD community in the Division of Mathematics and Statistics; recent National Student Surveys (NSS) for overall satisfaction have rated Glamorgan as one of the best UK institutions in which to study mathematics.
Applications are sought from those with a good degree in a numerical/computational subject such as mathematics, computing or electronic/electrical engineering. A firm understanding of fractals, mathematical modelling and programming is desirable, although not compulsory.
 A. J. Mulholland and A. J. Walker, Piezoelectric Ultrasonic Transducers with Fractal Geometry, Fractals, 2011, 19(4), 469-479.
 A. J. Mulholland, J. W. Mackersie, R. L. O’Leary, A. Gachagan, A. J. Walker, and N. Ramadas, The use of Fractal Geometry in the Design of Piezoelectric Ultrasonic Transducers, Proceedings of the 2011 IEEE International Ultrasonics Symposium , Orlando, Florida, pp1559-1562, (2011), DOI: 10.1109/ULTSYM.2011.0387