On nonlinear parametric amplification of Rayleigh waves

The phenomenon of parametric amplification of a weak Rayleigh surface acoustic wave of frequency ω by a strong pump Rayleigh wave of frequency 2ω is considered using the system of nonlinear evolution equations derived by Parker [Int. J. Eng. Sci. 26 (1988) 59] and modified to take into account the usual material dissipation and additional selective damping of certain wave harmonics. It is shown that introducing selective dissipation on both the third and fourth harmonics results in an essential increase of parametric amplification.