Rough surfaces reconstruction via phase and phaseless data by a multi-frequency homotopy iteration method

This is the authors' abstract. We don't add key points for this paper.

This paper is concerned with the inverse scattering of the rough surfaces with multi-frequency phase and phaseless measurements. We present a high-order recursive iteration method based on the homotopy iteration technique to reconstruct the rough surfaces. The convergence for the multi-frequency homotopy iteration method is obtained under some conditions. Some numerical experiments show the effectiveness of the proposed algorithm.