文献类型：期刊文献

英文题名：Analysis of second-harmonic generation of Lamb waves using a combined method in a two-layered solid waveguide

作者：Xiang, Yanxun[1];Deng, Mingxi[2];Xuan, Fu-Zhen[1]

机构：[1]E China Univ Sci & Technol, MOE, Sch Mech & Power Engn, Key Lab Safety Sci Pressurized Syst, Shanghai 200237, Peoples R China;[2]Logist Engn Univ, Dept Phys, Chongqing 400016, Peoples R China

年份：2009

卷号：106

期号：2

外文期刊名：JOURNAL OF APPLIED PHYSICS

收录：;EI(收录号：20093312253487);WOS:【SCI-EXPANDED(收录号:WOS:000268613000155)】；

基金：The authors are grateful for the support provided by the National Natural Science Foundation of China (Grant Nos. 50835003 and 10674180), the Program for New Century Excellent Talents in University (Grant No. NCET-06-0414), and the Shanghai Leading Academic Discipline Project (Grant No. B503).

语种：英文

外文关键词：Harmonic analysis - Nonlinear optics - Iron alloys - Waveguides - Acoustics - Harmonic generation - Ternary alloys - Aluminum alloys - Phase velocity - Chromium alloys - Acoustic wave propagation - Silicon alloys - Ultrasonic waves

摘要：Within the second-order perturbation treatment, the present work analyzed the complex second-harmonic generation of Lamb waves in a two-layered solid waveguide by combining the modal analysis method and the nonlinear reflection of acoustic waves at interfaces. The formal solution of the second-harmonic field is obtained on the basis of the modal analysis approach, from which a phase matching modification factor can be determined. The solution of the cumulative second-harmonic displacement field derived from the nonlinear reflection of acoustic waves at interfaces can be modified by multiplying the phase matching modification factor, and then be more general and applicable for the total second-harmonic field of Lamb wave propagation. Numerical computation results show that amplitude of the second-harmonic displacement increases clearly with propagation distance when the phase velocity of a double frequency Lamb wave (DFLW) component is exactly or approximately equivalent to that of the primary Lamb wave propagation, and reveal that the amplitudes of the second harmonics exhibit a decreasing tendency when the relative deviation of phase velocity between the primary Lamb wave and the DFLW component increases. Primary experimental measurements have been performed to verify the results of the numerical simulations in a FeCrNi alloy steel specimen. The research provides a further understanding for the physical process of the cumulative second-harmonic generation in a two-layered solid waveguide. (C) 2009 American Institute of Physics. [DOI: 10.1063/1.3171942]