High order asymptotic approach to the evaluation of near field,radiated by ultrasonic transducer to the layered elastic plates |
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| Authors: | Dmitry Zakharov |
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| Institution: | Dept. of Math. analysis, Moscow State University of Railway Engineering, Obraztsova str. 9/9, 127994 Moscow, Russia. |
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| Abstract: | It is well known that one of the most time consuming problem in non-destructive evaluation (NDE) is the near-field modeling. In our approach the near field radiated by an ultrasonic transducer (UT) to the first Fresnel zone is approximated in the frequency domain by a closed form asymptotic solution based on the 3-D generalized orthogonality conditions of Lamb waves and on the stationary phase method. As shown, these asymptotics permit us to elucidate the physics and to work out a numerical algorithm which is about 104 times faster than any direct way of computation. (© 2010 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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