Stability analysis of the perfectly matched layer for the elastic wave equation in layered media

In this paper, we present the stability analysis of the perfectly matched layer (PML) in two-space dimensional layered elastic media. Using normal mode analysis we prove that all interface wave modes present at a planar interface of bi-material elastic solids are dissipated by the PML. Numerical experiments in two-layer and multi-layer elastic solids corroborate the theoretical analysis.