论文标题
通过单个远场测量来确定分段导电中媒体
Determining a piecewise conductive medium body by a single far-field measurement
论文作者
论文摘要
我们关注恢复导电中型身体的反问题。导电培养基在几种实际重要性的应用中产生，包括用高度导电材料的薄层和地球物理中的磁铁纤维素涂层的电磁物体进行建模。我们考虑通过相关的电磁远场测量来确定人体内部的材料参数以及导电界面。在横向磁极极化下，我们得出了两个新颖的唯一识别性，从而通过单个活动或被动的远场测量值确定与多边形nest或多边形细胞几何形状相关的2D分段导电培养基体。
We are concerned with the inverse problem of recovering a conductive medium body. The conductive medium body arises in several applications of practical importance, including the modeling of an electromagnetic object coated with a thin layer of a highly conducting material and the magnetotellurics in geophysics. We consider the determination of the material parameters inside the body as well as on the conductive interface by the associated electromagnetic far-field measurement. Under the transverse-magnetic polarisation, we derive two novel unique identifiability results in determining a 2D piecewise conductive medium body associated with a polygonal-nest or a polygonal-cell geometry by a single active or passive far-field measurement.
