TY - JOUR
T1 - Determining a Piecewise Conductive Medium Body by a Single Far-Field Measurement
AU - Cao , Xinlin
AU - Diao , Huaian
AU - Liu , Hongyu
JO - CSIAM Transactions on Applied Mathematics
VL - 4
SP - 740
EP - 765
PY - 2020
DA - 2020/12
SN - 1
DO - http://doi.org/10.4208/csiam-am.2020-0020
UR - https://global-sci.org/intro/article_detail/csiam-am/18544.html
KW - Electromagnetic scattering, conductive transmission condition, inverse problem, single far-field measurement, polygonal, corner singularity.
AB - <p style="text-align: justify;">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 modelling 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.</p>