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Wave scattering by metamaterial wedges and interfaces. (English) Zbl 1087.78004

Summary: We outline specific features of numerical simulations of metamaterial wedges and interfaces. We study the effect of different positioning of a grid in the Yee method, which is necessary to obtain consistent convergence in modelling of interfaces with metamaterials characterized by negative dielectric permittivity and negative magnetic permeability. We demonstrate however that, in the framework of the continuous-medium approximation, wave scattering on the wedge may result in a resonant excitation of waves with infinitely large spatial frequencies, leading to non-convergence of the simulation results that depend on the discretization step.

MSC:

78A45 Diffraction, scattering
78M25 Numerical methods in optics (MSC2010)
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