Reconstruction of a rough surface profile with an iterative method based on a rigorous direct wave scattering model

We numerically demonstrate that an iterative inverse method based on a rigourous wave scattering model can be used to retrieve the profile of a rough interface from the complex scattering amplitude in far-field. The method of moments, that is a numerical resolution of the boundary integral equations, is chosen as direct model, so that large profiles, with tens of wavelength, can be reconstructed. The two polarization cases are addressed and finally combined. Sub-wavelength resolution is reached, especially when multiple scattering occurs.