The reciprocity gap functional method for an impedance inverse scattering problem in chiral media
Authors
E. S. Athanasiadou
- Department of Mathematics , National and Kapodistrian University of Athens, Panepistimiopolis GR-15784, Athens, Greece.
Abstract
A time-harmonic electromagnetic wave is scattered by a buried object. We assume that the scattering object has an impedance boundary surface and it is embedded in a piecewise homogeneous isotropic background chiral medium. Using a chiral reciprocity gap operator and appropriate density properties of chiral Herglotz wave functions we solve an inverse scattering problem for reconstruction of the shape of the scatterer from the knowledge of the tangential components of electric and magnetic fields, without requiring any a priori information of the physical properties. Furthermore, a characterization of the surface impedance of the scattering object is proved.
Share and Cite
ISRP Style
E. S. Athanasiadou, The reciprocity gap functional method for an impedance inverse scattering problem in chiral media, Journal of Nonlinear Sciences and Applications, 16 (2023), no. 2, 79--89
AMA Style
Athanasiadou E. S., The reciprocity gap functional method for an impedance inverse scattering problem in chiral media. J. Nonlinear Sci. Appl. (2023); 16(2):79--89
Chicago/Turabian Style
Athanasiadou, E. S.. "The reciprocity gap functional method for an impedance inverse scattering problem in chiral media." Journal of Nonlinear Sciences and Applications, 16, no. 2 (2023): 79--89
Keywords
- Inverse scattering
- reciprocity gap functional
- chiral media
- impedance boundary condition
MSC
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