Special Session 43: Recent Advances in Inverse Problems, Imaging, and Their Applications

Uniform far-field asymptotics for scattering by unbounded rough surfaces and application to the inverse problem
Haiwen Zhang
Academy of Mathematics and Systems Science, Chinese Academy of Sciences
Peoples Rep of China
Co-Author(s):    Yue Dong
Abstract:
This talk is concerned with direct and inverse scattering by an unbounded rough surface with the Dirichlet boundary condition in two dimensions. We study the asymptotics of the solution to the considered scattering problem with the boundary data in a weighted space of continuous functions. Based on this, we develop a direct imaging method for recovering the unbounded rough surface from the scattered-field data generated by incident point sources. Numerical experiments are carried out to demonstrate the feasibility and robustness of our algorithms.