Abstract

The acoustic wave scattering propertes of a nonlinear elastic metasurface, through different metasurface designs, derived from resonant nonlinear elastic elements, are theoretically and numerically studied. The results indicate the possibility of converting, during the reflection/transmission process, most of the fundamental ioming wave energy into the second harmonic wave. A good level of agreement is obtained between the teoretical results from the harmonic balance method (HBM) for a monochromatic source and the time domain simulations from the firth order Runge-Kutta (RK4) method for a wide wave packet source. This protocol allows analyzing the dynamics of the nonlinear reflection/transmisson process in the metasurface as well as exploring the limits of the operating frequency bandwidth. The reported methodology can be applied to a wide variety of nonlinear metasurfaces, thus possibly extending the family of exotic nonlinear acoustic processes.

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