A new finite element realization of the perfectly matched layer method for Helmholtz scattering problems on polygonal domains in two dimensions

In this paper we propose a new finite element realization of the Perfectly Matched Layer method (PML-method). Our approach allows to deal with a wide class of polygonal domains and with certain types of inhomogeneous exterior domains. Among the covered inhomogeneities are open waveguide structures playing an essential role in integrated optics. We give a detailed insight into implementation aspects. Numerical examples show exponential convergence behavior to the exact solution with the thickness of the PML sponge layer.

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