Abstract:

The author proposed an optimal perfectly matched layer (PML) method with a small parameter ε₀ for solving scattering problem in twolayered media. By introducing a small parameter ε₀ in the absorption function, the calculation of the scattering problem to optimize the PML method did not depend on the thickness δ of the PML layer. The results show that the numerical solution converges exponentially to the original problem as long as the parameter ε₀ is sufficiently small.

Key words: twolayered media, optimal perfectly matched layer (PML) method, exponential convergence