We propose reverse time migration (RTM) methods for the imaging of periodic obstacles using only measurements from lower or upper side of the obstacle arrays at a fixed frequency. We analyze the resolution of the lower side and upper side RTM methods in terms of the propagating part of the Rayleigh expansion, Helmholtz-Kirchhoff equation and the distance of the measurement surface to the obstacle arrays. We give some numerical experiments to justify the competitive efficiency of our imaging functionals and the robustness against noises.

翻译：我们提出利用单一频率下仅从障碍阵列下侧或上侧测量数据对周期障碍进行成像的逆时偏移（RTM）方法。基于瑞利展开的传播分量、亥姆霍兹-基尔霍夫方程以及测量面与障碍阵列的距离，我们分析了上侧与下侧RTM方法的分辨率。通过数值实验验证了所提成像泛函的竞争性效率及其对噪声的鲁棒性。