Unique Determination of a Planar Screen in Electromagnetic Inverse Scattering

Petri Ola, Lassi Päivärinta () and Sadia Sadique
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Petri Ola: Department of Mathematics and Statistics, University of Helsinki, 00014 Helsinki, Finland
Lassi Päivärinta: Department of Cybernetics, Division of Mathematics, Tallinn University of Technology, 19086 Tallinn, Estonia
Sadia Sadique: Department of Cybernetics, Division of Mathematics, Tallinn University of Technology, 19086 Tallinn, Estonia

Mathematics, 2023, vol. 11, issue 22, 1-12

Abstract: The target of our research is the object being a highly conducting thin plate or a flat screen. We especially focus on the question of when a single measurement uniquely determines an object. By this, we mean that we have one fixed transmitted wave and the resulting scattered field is measured for all directions in the far field. Such measurements are called passive, since there is no need to move the transmitter after its position has been fixed. We show that the far field of a scattered electromagnetic field corresponding to a single incoming plane wave always uniquely determines a bounded super-conductive planar screen. This generalises a previous acoustic result.

Keywords: inverse conductivity problem; electrical impedance tomography; unknown boundary; Teichmüller mapping (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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