An Inverse Mixed Impedance Scattering Problem in a Chiral Medium
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 sati...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/1/104 |
| _version_ | 1797542246020546560 |
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| author | Evagelia S. Athanasiadou |
| author_facet | Evagelia S. Athanasiadou |
| author_sort | Evagelia S. Athanasiadou |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T13:27:56Z |
| format | Article |
| id | doaj.art-51c2b753d8be4cc586240591235d5e22 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T13:27:56Z |
| publishDate | 2021-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-51c2b753d8be4cc586240591235d5e222023-11-21T08:38:35ZengMDPI AGMathematics2227-73902021-01-019110410.3390/math9010104An Inverse Mixed Impedance Scattering Problem in a Chiral MediumEvagelia S. Athanasiadou0Department of Mathematics, National and Kapodistrian University of Athens, 157 84 Athens, GreeceAn 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.https://www.mdpi.com/2227-7390/9/1/104inverse scatteringreciprocity gap functionalchiral mediamixed boundary conditions |
| spellingShingle | Evagelia S. Athanasiadou An Inverse Mixed Impedance Scattering Problem in a Chiral Medium Mathematics inverse scattering reciprocity gap functional chiral media mixed boundary conditions |
| title | An Inverse Mixed Impedance Scattering Problem in a Chiral Medium |
| title_full | An Inverse Mixed Impedance Scattering Problem in a Chiral Medium |
| title_fullStr | An Inverse Mixed Impedance Scattering Problem in a Chiral Medium |
| title_full_unstemmed | An Inverse Mixed Impedance Scattering Problem in a Chiral Medium |
| title_short | An Inverse Mixed Impedance Scattering Problem in a Chiral Medium |
| title_sort | inverse mixed impedance scattering problem in a chiral medium |
| topic | inverse scattering reciprocity gap functional chiral media mixed boundary conditions |
| url | https://www.mdpi.com/2227-7390/9/1/104 |
| work_keys_str_mv | AT evageliasathanasiadou aninversemixedimpedancescatteringprobleminachiralmedium AT evageliasathanasiadou inversemixedimpedancescatteringprobleminachiralmedium |