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On the use of Perfectly Matched Layers at corners for scattering problems with sign-changing coefficients

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Academic year: 2021

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Figure 1: Left: scattering problem in free space. Right: scattering problem in the artificially bounded domain D R .
Figure 2: Examples of geometries. From left to right: a smooth inclusion ( N = 0), a droplet ( N = 1), a triangle (N = 3) and a more complicated inclusion (N = 5).
Figure 4: Set of singular exponents Λ for φ = 5π/12 (in this case I c = [ − 3.8; − 0.26315])
Figure 5: Real part of the skew-symmetric (left) and symmetric (right) oscillating singularity near the corner c .
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