Determining a piecewise conductive medium body by a single far-field measurement

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 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.

References in corpus (5)

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• Mosco convergence for H(curl) spaces, higher integrability for Maxwell's equations, and stability in direct and inverse EM scattering problems
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Cited by in corpus (5)

• On Calderón's inverse inclusion problem with smooth shapes by a single partial boundary measurement
• On local and global structures of transmission eigenfunctions and beyond
• Sharp estimate of electric field from a conductive rod and application
• Unique continuation from a generalized impedance edge-corner for Maxwell's system and applications to inverse problems
• Lipschitz stability for an inverse source scattering problem at a fixed frequency