Recovering Unbounded Rough Surfaces with a Direct Imaging Method

In this paper,we consider the inverse acoustic scattering problem by an unbounded rough surface.A direct imaging method is proposed to reconstruct the rough surfaces from scattered-field data for incident plane waves and the performance analysis is also presented.The reconstruction method is very robust to noises of measured data and does’t need to know the type of the boundary conditions of the surfaces in advance.Finally,numerical examples are carried out to illustrate that our method is fast,accurate and stable even for the case of multiple-scale profiles.