Computation of Rayleigh waves on transversely isotropic media by the reduced delta matrix method

We address the computation of Rayleigh waves on transversely isotropic media. Because numerical instabilities appear in the computation of Rayleigh waves at high frequencies, the reduced delta matrix method with computational efficiency is applied for transversely isotropic media. First, we explain the computation of Rayleigh waves on transversely isotropic media by using the Haskell method and the delta matrix method. Next, the delta matrix method is extended to the reduced delta matrix method. We also show that the characteristic function of Rayleigh waves for transversely isotropic media can be computed with real numbers. The results of the computational example show the effectiveness of the reduced delta matrix method.