Coupled amplitude theory of nonlinear surface acoustic waves
Coupled amplitude theory of nonlinear surface acoustic waves
复制标题
非线性声表面波耦合振幅理论
DOI：
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发表时间：
1982
期刊：
影响因子：
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通讯作者：
P. Prasad
中科院分区：
文献类型：
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作者：
N. Kalyanasundaram;R. Ravindran;P. Prasad
本文研究了声表面波在各向同性弹性固体中的非线性传播特性。瑞利波的谐波边值问题的解决方案是作为一个广义傅里叶级数的系数是成比例的缓慢变化的各种谐波的振幅。解出的振幅耦合方程组的无穷集合表现出振荡的缓慢变化，这意味着能量在各种谐波之间来回的连续传递。导出了所有谐波振幅之间的守恒关系。
The nonlinear propagation characteristics of surface acoustic waves on an isotropic elastic solid have been studied in this paper. The solution of the harmonic boundary value problem for Rayleigh waves is obtained as a generalized Fourier series whose coefficients are proportional to the slowly varying amplitudes of the various harmonics. The infinite set of coupled equations for the amplitudes when solved exhibit an oscillatory slow variation signifying a continuous transfer of energy back and forth among the various harmonics. A conservation relation is derived among all the harmonic amplitudes.