Analysis of Acoustic Second-Harmonic Generation in a Multilayered Structure with Nonlinear Interfaces
Analysis of Acoustic Second-Harmonic Generation in a Multilayered Structure with Nonlinear Interfaces
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DOI：
10.1007/978-3-319-90884-7_8
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Y. Ishii;T. Adachi
中科院分区：
文献类型：
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作者：
Y. Ishii;T. Adachi
对一维纵波在由交替层和非线性弹簧型层间界面组成的多层结构中的传播进行了理论分析，研究了由于界面非线性引起的声学二次谐波产生。假设非线性足够弱，当单色纵波垂直入射到结构上时，反射波和透射波中包含的二次谐波分量使用摄动方法和传输矩阵法导出。一些数值结果的二次谐波振幅的频率依赖性的层状结构的带结构的帮助下示出和讨论。
The one-dimensional longitudinal wave propagation in a multilayered structure consisting of alternating layers and nonlinear spring-type interlayer interfaces is analyzed theoretically to investigate the acoustic second-harmonic generation due to the interfacial nonlinearity. Assuming that the nonlinearity is sufficiently weak, the second-harmonic components contained in the reflected and transmitted waves when a monochromatic longitudinal wave impinges perpendicularly on the structure are derived using a perturbation approach and the transfer-matrix method. Some numerical results of frequency dependence of second-harmonic amplitudes are shown and discussed with the aid of the band structure of layered structures.