We consider an inverse scattering problem and its near-field approximation at high frequencies. We first prove, for both problems, Lipschitz stability results for determining the low-frequency component of the potential. Then we show that, in the case of a radial potential supported sufficiently near the boundary, infinite resolution can be achieved from measurements of the near-field operator in the monotone case. © 2012 Elsevier Ltd.
Ammari, H., Bahouri, H., Ferreira, D. D. S., & Gallagher, I. (2013). Stability estimates for an inverse scattering problem at high frequencies. Journal of Mathematical Analysis and Applications, 400(2), 525–540. https://doi.org/10.1016/j.jmaa.2012.10.066