Microwave imaging for half-space imperfect conductors

This article presents an inverse scattering problem for recovering the shape and conductivity of an imperfect conductor buried in a half space by self-adaptive dynamic differential evolution (SADDE). The imperfect conductor of unknown conductivity and shapes is buried in one half-space and illuminated by the transverse magnetic plane wave from the other half-space. Based on the boundary condition and the measured scattered field, a set of nonlinear integral equation is derived and the imaging problem is reformulated into optimisation problem. The SADDE algorithm is employed to find out the global extreme solution of the object function. Numerical results show that the conductivity and the shape of the conductor are well reconstructed. Moreover, the shape function is more sensitive to the scattered field variation than the conductivity. Accurate reconstruction of the shape function can be obtained by using the novel optimisation algorithm. As a result, the electric conductivity can be computed more accurately.