Reconstruction of Complex Obstacles with Generalized Impedance Boundary Conditions from Far-Field Data

This paper is concerned with the inverse problem of scattering of time-harmonic acoustic plane waves from a complex obstacle in the sense that a so-called generalized impedance boundary condition (GIBC) is satisfied on the boundary of the obstacle. The factorization method is established to reconstruct the complex obstacle from the far-field data at a fixed frequency. Numerical examples are also provided to illustrate the practicability of the inversion algorithm.