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Inverse Time-Harmonic Electromagnetic Scattering from Coated Polyhedral Scatterers With a Single Far-Field Pattern
SIAM Journal on Applied Mathematics ( IF 1.9 ) Pub Date : 2021-01-04 , DOI: 10.1137/20m1330798
Guang-Hui Hu , Manmohan Vashisth , Jiaqing Yang

SIAM Journal on Applied Mathematics, Volume 81, Issue 1, Page 25-46, January 2021.
It is proved that a convex polyhedral scatterer of impedance type can be uniquely determined by the electric far-field pattern of a nonvanishing incident field. The incoming wave is allowed to be an 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 hyperplane. 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.


中文翻译:

带有单个远场方向图的带涂层多面体散射体的逆时谐电磁散射

SIAM应用数学杂志,第81卷,第1期,第25-46页,2021
年1月。证明了阻抗类型的凸多面体散射体可以由不消失的入射场的电远场模式唯一地确定。允许入射波为电磁平面波,矢量赫格兹波函数或某些磁偶极子激发的点源波。我们的证明依赖于麦克斯韦方程组的反射原理,其中阻抗(或列昂托维奇)边界条件在超平面上强制执行。我们证明不可能通过分析将整个场扩展到散射体的任何顶点。这导致用于对任意凸多面体成像的数据驱动的反演方案。
更新日期:2021-01-13
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