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Determining a Piecewise Conductive Medium Body by a Single Far-Field Measurement

Determining a Piecewise Conductive Medium Body by a Single Far-Field Measurement
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Year:    2020

Author:    Xinlin Cao, Huaian Diao, Hongyu Liu

CSIAM Transactions on Applied Mathematics, Vol. 1 (2020), Iss. 4 : pp. 740–765

Abstract

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/csiam-am.2020-0020

CSIAM Transactions on Applied Mathematics, Vol. 1 (2020), Iss. 4 : pp. 740–765

Published online:    2020-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    26

Keywords:    Electromagnetic scattering conductive transmission condition inverse problem single far-field measurement polygonal corner singularity.

Author Details

Xinlin Cao

Huaian Diao

Hongyu Liu

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