论文标题
内部逆电磁散射，用于不均匀腔
The Interior Inverse Electromagnetic Scattering for an Inhomogeneous Cavity
论文作者
论文摘要
在本文中，我们考虑了在三个维度上被不均匀培养基包围的空腔的反电磁散射。测量值是在腔体内部的某个表面上测量的散射波场，在此散射的波场是由于在同一表面上排放的源。我们首先证明测量值独特地确定了腔的形状，在那里我们利用称为外部传输问题的边界值问题。然后，我们通过设计线性采样方法来重建腔体来完成反向散射问题。进一步提供了数值示例，以说明我们算法的可行性。
In this paper we consider the inverse electromagnetic scattering for a cavity surrounded by an inhomogeneous medium in three dimensions. The measurements are scattered wave fields measured on some surface inside the cavity, where such scattered wave fields are due to sources emitted on the same surface. We first prove that the measurements uniquely determine the shape of the cavity, where we make use of a boundary value problem called the exterior transmission problem. We then complete the inverse scattering problem by designing the linear sampling method to reconstruct the cavity. Numerical examples are further provided to illustrate the viability of our algorithm.
