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The inverse scattering problem for partially penetrable obstacles

机译:部分渗透障碍物的逆散射问题

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摘要

We consider the direct and inverse problems for the scattering of a partially penetrable obstacle. Here partially penetrable obstacle' means that the waves transmit into the obstacle just from partial boundary of the obstacle with the rest of the boundary touching a known perfect and thin scatterer. The solvability of the direct scattering problem is presented using the classical boundary integral equation method. An interesting interior transmission problem is investigated for the purpose of solving the inverse obstacle scattering problem. Then the linear sampling method is proposed to reconstruct the shape and location of the obstacle from near field measurements. We note that the inversion algorithm can be implemented by avoiding the use of background Green function as a test function due to a mixed reciprocal principle.
机译:我们考虑了散射部分渗透障碍物的直接和逆问题。 这里部分穿透的障碍物意味着波浪从障碍物的部分边界传递到障碍物的局部边界,其余的边界接触已知的完美和薄散射体。 使用经典边界积分方程方法给出了直接散射问题的可解性。 为了解决逆障碍散射问题,研究了一个有趣的内部传输问题。 然后提出了线性采样方法来重建近场测量障碍物的形状和位置。 我们注意到,由于混合互易原理,可以通过避免使用背景绿色功能作为测试功能来实现反演算法。

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