Inverse obstacle scattering with limited-aperture data
Inverse obstacle scattering with limited-aperture data
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DOI：
10.3934/ipi.2012.6.77
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发表时间：
2012-02
影响因子：
1.3
通讯作者：
Masaru Ikehata;Esa Niemi;S. Siltanen
中科院分区：
文献类型：
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作者：
Masaru Ikehata;Esa Niemi;S. Siltanen
逆障碍物散射的目的是利用波的传播来提取远距离和未知目标的信息。本研究集中在一个二维的设置，使用时谐平面声波作为入射场，并采取的障碍物是声音硬与光滑或多边形的边界。通过向感兴趣区域发送一个入射波并计算远场图案来模拟测量数据：（1）在整个观察方向上，（2）仅在接近后向散射的方向上，以及（3）仅在接近前向散射的方向上。一个变种的外壳方法的基础上，应用远场算子显式构造的密度，产生的信息的凸船体的障碍。提出的数值证据表明，凸船体的障碍物可以近似恢复从嘈杂的有限孔径远场数据。
Inverse obstacle scattering aims to extract information about distant and unknown targets using wave propagation. This study concentrates on a two-dimensional setting using time-harmonic acoustic plane waves as incident fields and taking the obstacles to be sound-hard with smooth or polygonal boundary. Measurement data is simulated by sending one incident wave towards the area of interest and computing the far field pattern (1) on the whole circle of observation directions, (2) only in directions close to backscattering, and (3) only in directions close to forward-scattering. A variant of the enclosure method is introduced, based on applying the far field operator to an explicitly constructed density, yielding information about the convex hull of the obstacle. The numerical evidence presented suggests that the convex hull of obstacles can be approximately recovered from noisy limited-aperture far field data.