TITLE:
Inverse Electromagnetic Scattering by a Penetrable Chiral Object
AUTHORS:
Sotiria Dimitroula, Paraskevi Roupa, Spyridon C. Athanasiadis, Georgios Halikias
KEYWORDS:
Chiral Media, Inverse Scattering Problem, Chiral Mixed Reciprocity Relation
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.9,
September
11,
2024
ABSTRACT: We consider the inverse electromagnetic scattering problem of determining the shape of a perfectly conducting core inside a penetrable chiral body. We prove the well-posedness of the corresponding direct scattering problem by the variational method. We focus on a uniqueness result for the inverse scattering problem that is under what conditions an obstacle can be identified by the knowledge of the electric far-field pattern corresponding to all time-harmonic incident planes waves with a fixed wave number. To this end, we establish a chiral mixed reciprocity relation that connects the electric far-field pattern of a spherical wave with the scattered field of a plane wave.