Abstract: We gave a uniaxial optimal perfectly matched layer (PML) method for solving the scattering problem of time harmonic elastic wave based on the complex coordinate stretching in the frequency domain. By introducing a small parameter ε₀ in the absorption function, the optimal PML method for scattering problem was no longer dependent on the thickness of the PML layer. The results show that the optimal PML solution converges exponentially to the solution of the original elastic wave scattering problem if the parameter ε_0 is small sufficiently.

Key words: optimal perfectly matched layer (PML) method, exponential convergence, elastic wave scattering