论文标题
反向声散射的反向时间迁移局部粗糙表面
Reverse time migration for inverse acoustic scattering by locally rough surfaces
论文作者
论文摘要
考虑无限粗糙表面的时谐声散射的逆散射，这被认为是平面的局部扰动。提出了一种新型的反向时间迁移（RTM），以重建粗糙表面的形状和位置。该方法基于与特殊粗糙表面相关的修改后的Helmholtz-Kirchhoff身份，从而导致修改的成像功能，该功能使用了点源生成的近场数据作为测量。修改的成像功能始终达到粗糙表面边界上的峰值，以实现声音柔软的外壳和可穿透的情况，并在粗糙表面的边界上撞击了声音表壳的底部。此外，我们还建立了与平面波生成的远场数据相关的RTM方法。据我们所知，这是带有详细数据的RTM方法的第一个结果。进行数值实验以显示强大的成像质量。
Consider the inverse scattering of time-harmonic acoustic scattering by an infinite 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 the shape and location of the rough surface. The method is based on a modified Helmholtz-Kirchhoff identity associated with a special rough surface, leading to a modified imaging functional which uses the near-field data generated by point sources as measurements. The modified imaging functional always reaches a peak on the boundary of the rough surface for sound-soft case and penetrable case, and hits a nadir on the boundary of the rough surface for sound-hard case. Furthermore, we also establish the RTM method associated with the far-field data generated by plane waves. As far as we know, this is the first result for the RTM method with the far-filed data. Numerical experiments are presented to show the powerful imaging quality.
