Quadrature by Parity Asymptotic eXpansions (QPAX) for scattering by high aspect ratio particles

  title={Quadrature by Parity Asymptotic eXpansions (QPAX) for scattering by high aspect ratio particles},
  author={Camille Carvalho and Arnold D. Kim and Lori Lewis and Zois Moitier},
We study scattering by a high aspect ratio particle using boundary integral equation methods. This problem has important applications in nanophotonics problems, including sensing and plasmonic imaging. Specifically, we consider scattering in two dimensions by a sound-hard, high aspect ratio ellipse. For this problem, we find that the boundary integral operator is nearly singular due to the collapsing geometry from an ellipse to a line segment. We show that this nearly singular behavior leads to… 

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