Ultrasonic wave propagation in heterogeneous media
Mulholland, Anthony J.; (2010) Ultrasonic wave propagation in heterogeneous media. In: Proceedings of ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010. American Institute of Physics, pp. 1745-1748. (https://doi.org/10.1063/1.3498201)
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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 utilise resonators that span a range of length scales. In this paper 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 renormalisation approach. The propagation of an ultrasonic wave in this heterogeneous medium is then analysed 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. ©
ORCID iDs
Mulholland, Anthony J. ORCID: https://orcid.org/0000-0002-3626-4556;-
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Item type: Book Section ID code: 30157 Dates: DateEvent30 September 2010PublishedSubjects: Science > Mathematics > Probabilities. Mathematical statistics Department: Faculty of Science > Mathematics and Statistics Depositing user: Pure Administrator Date deposited: 21 Jun 2011 15:53 Last modified: 11 Nov 2024 14:42 URI: https://strathprints.strath.ac.uk/id/eprint/30157