Corpus ID: 119136362

Scattering by curvatures, radiationless sources, transmission eigenfunctions and inverse scattering problems

@article{Blsten2018ScatteringBC,
  title={Scattering by curvatures, radiationless sources, transmission eigenfunctions and inverse scattering problems},
  author={Eemeli Bl{\aa}sten and Hongyu Liu},
  journal={arXiv: Analysis of PDEs},
  year={2018}
}
We consider several intriguingly connected topics in the theory of wave propagation: geometrical characterizations of radiationless sources, non-radiating incident waves and interior transmission eigenfunctions, and their applications to inverse scattering problems. Our major novel discovery is a certain localization and geometrization property of waves in the aforementioned scenarios. We first show that a scatterer, which might be an active source or an inhomogeneous index of refraction… Expand

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