Electromagnetic 3D reconstruction by level set with zero capacity connecting sets

The inverse scattering problem in electromagnetics is studied through the identification or reconstruction of the obstacle considered as a nonsmooth surface in R3. Through measurements of Em of the scattered electric field in a non-far zone θ, we consider the classical minimization of a functional measuring the distance between Em and the actual solution E over θ. Using the shape derivative of the functional, we introduced the level-set method in 3D. Using the SR3D (scattering structures 3D) software, based on the Rumsey principle, and several graphics algorithms, we construct the optimization of the level-set method for a 3D surface.