Windowed Green function method for wave scattering by periodic arrays of 2D obstacles

@article{StrauszerCaussade2022WindowedGF,
  title={Windowed Green function method for wave scattering by periodic arrays of 2D obstacles},
  author={Thomas Strauszer-Caussade and Luiz M. Faria and Agustin G. Fernandez-Lado and Carlos P'erez-Arancibia},
  journal={ArXiv},
  year={2022},
  volume={abs/2205.11574}
}
This paper introduces a novel boundary integral equation (BIE) method for the numerical solution of problems of planewave scattering by periodic line arrays of two-dimensional penetrable obstacles. Our approach is built upon a direct BIE formulation that leverages the simplicity of the free-space Green function but in turn entails evaluation of integrals over the unit-cell boundaries. Such integrals are here treated via the window Green function method. The windowing approximation together with… 

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