It is proved that a connected polygonal obstacle coated by thin layers together with its surface impedance function can be determined uniquely from the far field pattern of a single incident plane wave. Our proof is based on the Schwarz reflection principle for the Helmholtz equation satisfying the impedance boundary condition on a flat boundary.

中文翻译：

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具有单个入射波的涂层多边形障碍物逆声散射的独特性

证明了由单个入射平面波的远场模式可以唯一确定由薄层覆盖的连接多边形障碍物及其表面阻抗函数。我们的证明基于满足平坦边界阻抗边界条件的亥姆霍兹方程的施瓦茨反射原理。