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Consider the inverse scattering of time-harmonic acoustic scattering by aninfinite rough surface which is supposed to be a local perturbation of a plane.A novel version of reverse time migration (RTM) is proposed to reconstruct theshape and location of the rough surface. The method is based on a modifiedHelmholtz-Kirchhoff identity associated with a special rough surface, leadingto a modified imaging functional which uses the near-field data generated bypoint sources as measurements. The modified imaging functional always reaches apeak on the boundary of the rough surface for sound-soft case and penetrablecase, and hits a nadir on the boundary of the rough surface for sound-hardcase. Furthermore, we also establish the RTM method associated with thefar-field data generated by plane waves. As far as we know, this is the firstresult for the RTM method with the far-filed data. Numerical experiments arepresented to show the powerful imaging quality.

Reverse time migration for inverse acoustic scattering by locally rough surfaces