A direct imaging method for inverse scattering by unbounded rough surfaces
For researchers in inverse scattering, this provides a fast and robust imaging method for rough surfaces, though it is incremental as it applies existing direct imaging concepts to a new problem setting.
This paper proposes a direct imaging method for reconstructing unbounded rough surfaces from scattered near-field data, demonstrating through numerical experiments that the algorithm is fast, accurate, and robust to noise.
This paper is concerned with the inverse scattering problem by an unbounded rough surface. A direct imaging method is proposed to reconstruct the rough surface from the scattered near-field Cauchy data generating by point sources and measured on a horizontal straight line segment at a finite distance above the rough surface. Theoretical analysis of the imaging algorithm is given for the case of a penetrable rough surface, but the imaging algorithm also works for impenetrable surfaces with Dirichlet or impedance boundary conditions. Numerical experiments are presented to show that the direct imaging algorithm is fast, accurate and very robust with respect to noise in the data.