Inverse scattering for shape and impedance revisited Academic Article uri icon


  • © 2018 Rocky Mountain Mathematics Consortium. The inverse scattering problem under consideration is to reconstruct both the shape and the impedance function of an impenetrable two-dimensional obstacle from the far field pattern for scattering of timeharmonic acoustic or E-polarized electromagnetic plane waves. We propose an inverse algorithm that is based on a system of nonlinear boundary integral equations associated with a single-layer potential approach to solve the forward scattering problem. This extends the approach we suggested for an inverse boundary value problem for harmonic functions in [8] and is a counterpart of our earlier work on inverse scattering for shape and impedance in [7]. We present the mathematical foundation of the method and exhibit its feasibility by numerical examples.

author list (cited authors)

  • Kress, R., & Rundell, W.

citation count

  • 2

publication date

  • April 2018