通过单个远场测量确定分段导电介质体
Determining a piecewise conductive medium body by a single far-field measurement
摘要：
我们关心的是恢复导电介质体的反问题。导电介质体出现在几个具有实际重要性的应用中，包括涂覆有高导电材料薄层的电磁物体的建模和地球物理学中的大地电磁学。我们认为，确定的材料参数的身体内，以及在导电界面上的相关的电磁远场测量。根据横向磁极化，我们得出两个新的独特的可识别性的结果，在确定一个二维分段导电介质体与一个蜂窝状巢或蜂窝状细胞的几何形状由一个单一的主动或被动的远场测量。
英文摘要：
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.
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