论文标题
随着反向时间迁移的同时恢复本地粗糙的界面和嵌入式障碍物
Simultaneous recovery of a locally rough interface and the embedded obstacle with the reverse time migration
论文作者
论文摘要
考虑通过无界的本地界面对时谐波点源的逆声散射，其界面嵌入了下半空间中。提出了一种新型的反向时间迁移，以重建本地粗糙的界面和嵌入式障碍物。通过与平面界面相关的修改后的Helmholtz-Kirchhoff身份，我们获得了一个修改的成像功能，该功能始终显示在界面的局部扰动和嵌入式障碍物上。提出了数值示例以证明该方法的有效性。
Consider the inverse acoustic scattering of time-harmonic point sources by an unbounded locally rough interface with bounded obstacles embedded in the lower half-space. A novel version of reverse time migration is proposed to reconstruct both the locally rough interface and the embedded obstacle. By a modified Helmholtz-Kirchhoff identity associated with a planar interface, we obtain a modified imaging functional which has been shown that it always peaks on the local perturbation of the interface and on the embedded obstacle. Numerical examples are presented to demonstrate the effectiveness of the method.
