论文标题
来自具有单个远场图案的涂层多面体散射器的反时谐波电磁散射
Inverse time-harmonic electromagnetic scattering from coated polyhedral scatterers with a single far-field pattern
论文作者
论文摘要
事实证明，阻抗类型的凸多面体散射器可以通过非散热入射场的远场图案来唯一确定。传入波被允许到电磁平面波，矢量HERGLOTZ波函数或某些磁性偶极子煽动的点源波。我们的证明依赖于麦克斯韦方程的反思原理，其阻抗（或莱昂托维奇）在超平面上执行的边界条件。我们证明，不可能通过分析跨散射器的任何顶点扩展总场。这导致了一个数据驱动的反转方案，用于成像任意凸多面体。
It is proved that a convex polyhedral scatterer of impedance type can be uniquely determined by the electric far-field pattern of a non-vanishing incident field. The incoming wave is allowed to bean electromagnetic plane wave, a vector Herglotz wave function or a point source wave incited by some magnetic dipole. Our proof relies on the reflection principle for Maxwell's equations with the impedance (or Leontovich) boundary condition enforcing on a hyper-plane. We prove that it is impossible to analytically extend the total field across any vertex of the scatterer. This leads to a data-driven inversion scheme for imaging an arbitrary convex polyhedron.
