广义兰姆波的积累二次谐波发生研究

借助色散导波的部分波分析方法、二阳微扰理论及同的声非线性反射处理技术，本文对声波导中广义兰姆波的积累二次谐波发生进行了理论研究。结果表明，在一定条件下，源于声波导介质的体非线性、由文义兰姆波的部分波非线性相互作用所发生的二次谐波具有随传播距离积累增长的性质，文中给出了广义兰姆波的积累二次谐波发生所要满足的条件，并求解出相应的积累二次谐波之解析式。

Generation of cumulative second harmonic of generalized Lamb wave propagation

Cumulative second harmonic gerneration of generalized Lamb wave propagation in a solid waveguide has been theoretically analyzed in this article It is based on the partial wave analysis method of dispersive guided wave, second order perturbation approximation and nonlinear reflection of acoustic waves at an interface. That the second harmonic, under certain conditions, may retain the cumulative growth effect along with the propagation distance is found. The existence condition of cumulative second harmonic generation and the corresponding analytical expression of cumulative second harmonic are obtained.