Corpus ID: 236881076

Stable determination by a single measurement, scattering bound and regularity of transmission eigenfunction

  title={Stable determination by a single measurement, scattering bound and regularity of transmission eigenfunction},
  author={Hongyu Liu and Chun-Hsiang Tsou},
In this paper, we study an inverse problem of determining the cross section of an infinitely long cylindrical-like material structure from the transverse electromagnetic scattering measurement. We establish a sharp logarithmic stability result in determining a polygonal scatterer by a single far-field measurement. The argument in establishing the stability result is localised around a corner and can be as well used to produce two highly intriguing implications for invisibility and transmission… Expand

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