An Inverse Mixed Impedance Scattering Problem in a Chiral Medium

Evagelia S. Athanasiadou
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Evagelia S. Athanasiadou: Department of Mathematics, National and Kapodistrian University of Athens, 157 84 Athens, Greece

Mathematics, 2021, vol. 9, issue 1, 1-14

Abstract: An inverse scattering problem of time-harmonic chiral electromagnetic waves for a buried partially coated object was studied. The buried object was embedded in a piecewise isotropic homogeneous background chiral material. On the boundary of the scattering object, the total electromagnetic field satisfied perfect conductor and impedance boundary conditions. A modified linear sampling method, which originated from the chiral reciprocity gap functional, was employed for reconstruction of the shape of the buried object without requiring any a priori knowledge of the material properties of the scattering object. Furthermore, a characterization of the impedance of the object’s surface was determined.

Keywords: inverse scattering; reciprocity gap functional; chiral media; mixed boundary conditions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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