Three-dimensional reconstruction of objects buried in layered media using Born and distorted Born iterative methods

We develop electromagnetic inverse scattering methods to reconstruct three-dimensional (3-D) objects buried in layered media. The nonlinear inverse problem is solved iteratively via the conjugate-gradient approach; within each iteration, the problem is linearized by Born and distorted Born approximations. The forward solution for layered media is provided by the stabilized biconjugate-gradient fast Fourier transform method. The inversion results from the Born and distorted Born iterative methods are presented, and the effects of the aperture size and noise on the inversion results are also investigated. Numerical results show that these methods are capable of reconstructing an arbitrary 3-D inhomogeneous object buried in a multilayered medium with high resolution.