Summary: JOURNAL OF
Journal of Sound and Vibration 298 (2006) 108131
Elastic wave radiation from a high frequency
G.W. Owena,Ã, I.D. Abrahamsb
Department of Mathematics, Keele University, Keele, Staffordshire, UK
Department of Mathematics, University of Manchester, Oxford Road, Manchester, UK
Received 11 July 2005; received in revised form 27 March 2006; accepted 24 April 2006
Available online 7 July 2006
A simple model of a high frequency piezoelectric transducer affixed to an elastic half-space is analysed. The problem is
reformulated as a modified matrix WienerHopf equation, containing a kernel for which there is no known exact
factorisation. An approximate factorisation is obtained, and the resulting integral equation is solved by iteration, in limit
that the length of the transducer is very much larger than a typical wavelength.
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