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

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

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 …