A new finite element realization of the perfectly matched layer method for Helmholtz scattering problems on polygonal domains in two dimensions. (English) Zbl 1130.78315
Summary: 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.
MSC:
| 78M10 | Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
| 78A45 | Diffraction, scattering |
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