Location and shape reconstructions of objects buried in inhomogeneously penetrable cylinders

In this study, a model problem is proposed to investigate location and shape reconstructions of objects buried in inhomogeneously penetrable cylinders. The Dirichlet/transmission condition is considered on the boundary of the buried object and to express the behaviors of the fields over the exterior cylinder the conductive boundary condition is employed. The structure is insonifi-cated by a time-harmonic acoustic plane wave at fixed frequency such that the scattered field satisfies the Sommerfeld radiation condition. Numerical solutions of the problems are obtained via potential approaches and the applicability of the inversion algorithms are tested for different cases with exact/noisy scattered field data and satisfactory results are obtained.