In this talk, we give a brief review on recent results on numerical methods for inverse scattering problems with phaseless data, obtained in our group. These results include recursive Newton iteration methods for reconstructing bounded obstacles from phaseless far-field data, local rough surfaces from phaseless near- or far-field data, as well as direct imaging algorithms for reconstructing bounded obstacles using only phaseless far-field data. This talk is based on joint works with Haiwen Zhang.

Professor Bo Zhang received his PhD degree in applied mathematics from University of Strathclyde, U.K. in 1992. He was a Postdoc in Keele University, U.K. from 1992 to 1994 and a Research Fellow in Brunel University, U.K. from 1995 to 1997. In 1997, he joined Coventry University, U.K., as a Senior Lecturer, where he was promoted to Reader in Applied Mathematics in 2000 and to Professor of Applied Mathematics in 2003. He moved back to China in 2004. He is currently a Professor of Mathematics in the Academy of Mathematics and Systems Science (AMSS), Chinese Academy of Sciences, Beijing, and the Deputy Head of the Center for PDEs with Applications as well as the Computational Physics and Differential Equations Division Head in the Institute of Applied Mathematics, AMSS. His current research interests include direct and inverse scattering problems, radar and sonar imaging, machine learning, and data mining. He is currently an Associate Editor of the journals IEEE Transactions on Cybernetics and Applicable Analysis, and serves as the Vice-President of the East Asia Section of the International Association for Inverse Problems. He was the Publicity Sub-Committee of the 8th International Congress on Industrial and Applied Mathematics in Beijing in 2015.