Second-Harmonic Generation of a Plane Wave Normally Incident upon a Solid Plate Immersed in Liquid

We theoretically investigate the second-harmonic genera tion of a plane longitudinal wave normally incident upon a solid plate immersed in liquid. The formula tion of the reflected second harmonic is derived within the second-order perturbation. Theoretical analysis and numerical simulation indicate...

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Bibliographic Details
Published in:Chinese physics letters 2013-12, Vol.30 (12), p.124302-1-124302-4
Main Authors: Deng, Ming-Xi, Xiang, Yan-Xun, Wang, Ping, Lv, Xia-Fu
Format: Article
Language:English
Subjects:
Acoustic fatigue
Acoustics
Harmonics
Liquids
Longitudinal waves
Mathematical models
Nonlinearity
Titanium dioxide
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Summary:We theoretically investigate the second-harmonic genera tion of a plane longitudinal wave normally incident upon a solid plate immersed in liquid. The formula tion of the reflected second harmonic is derived within the second-order perturbation. Theoretical analysis and numerical simulation indicate that the reflected second-harmonic amplitude increases sensitively with the increase in the nonlinear acoustic parameter of the plate material at some specific frequencies where the linear renection coefficient of the normally incident longitudinal wave takes on the minimum value, and that it is independent of the spatial separa tion between the transmitter/receiver and the solid plate. The results obtained provide a means through which the early state of fatigue-induced damage of the solid plate (characterized by its nonlinear acoustic parameter) can be sensitively assessed by measuring the reflected second harmonic at the specific frequency where the linear reflection coefficient is minimum.
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/30/12/124302