The inverse scattering problem for cavities with impedance boundary condition

@article{Qin2012TheIS,
title={The inverse scattering problem for cavities with impedance boundary condition},
author={Hai-Hua Qin and David Colton},
journal={Adv. Comput. Math.},
year={2012},
volume={36},
pages={157-174}
}

We consider the inverse scattering problem of determining the shape of a cavity with impedance boundary condition from sources and measurements placed on a curve inside the cavity. It is shown that both the shape ∂ D of the cavity and the surface impedance λ are uniquely determined by the measured data and numerical methods are given for determining both ∂ D and λ where neither one is known a priori. Numerical examples are given showing the viability of our method.