On the Direct Electromagnetic Scattering Problem by an Impenetrable Partially Coated Obstacle Embedded in a Chiral Environment
DOI:
https://doi.org/10.5890/JVTSD.2023.09.004Abstract
In this paper the direct scattering problem by an impenetrable obstacle embedded in a given homogeneous background chiral medium is studied. Incident electromagnetic waves are propagated in a homogeneous chiral environment. We assume that the chirality measures of the background and exterior medium are both distinct positive constants. Our scatterer has a smooth boundary that is divided into two open disjoint parts for which an impedance boundary condition on the one part of the boundary, and a perfectly conducting boundary condition on the other part, are satisfied. Uniqueness results for the above scattering problem, using the Bohren decomposition into Beltrami fields, are established. Consequently, we introduce a chiral Calderon operator, for which its basic properties are proved, and its connection with the existence of our problems solution is presented. The well-posedness of our problem is completed by proving the continuous dependence of the solution on the boundary data. Finally, some discussion and conclusions are given.References
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