Scattering of a plane longitudinal wave by an elastic quarter space

We study the two-dimensional problem of the scattering of a plane longitudinal wave incident in a homogeneous, isotropic, linearly elastic quarter space. The complex-valued amplitudes of the Rayleigh waves propagating on the free surfaces are plotted versus Poisson's ratio. Also plotted are the farfield scattering patterns for Poisson's ratio $\text{μ=}\text{1}\text{4}$ and $\text{1}\text{3}$.