Analysis of Acoustic Second-Harmonic Generation in a Multilayered Structure with Nonlinear Interfaces

摘要

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.