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：我们提出了反时偏移(RTM)方法，使用固定频率下周期障碍物组阵下侧或上侧的测量结果进行成像。我们分析了下侧和上侧RTM方法的分辨率，其中分析包括Helmholtz-Kirchhoff方程、Rayleigh拓展的传播部分以及测量表面到障碍物组阵的距离。我们通过一些数值实验证明了我们成像函数的竞争效率和对噪声的鲁棒性。