The direct electromagnetic scattering problem by a mixed impedance screen in chiral media

Abstract

In this article solvability results for the direct electromagnetic scattering problem for a mixed perfectly conducting-impedance screen in a chiral environment is studied. In particular, incident time-harmonic electromagnetic waves in a chiral medium upon a partially coated open surface Γ (the ‘screen’), that satisfies an impedance boundary condition on one side and a perfectly conducting boundary condition on the other side, are considered. We introduce the Beltrami fields, appropriate boundary integral relations for these fields are proved and via them a uniqueness result is established. A variational method in a suitable functional space setting is considered and using a Calderon type operator for the chiral case, existence for the scattering problem is established.

Keywords:

• chiral media
• Beltrami fields
• mixed impedance boundary conditions

AMS Subject Classifications:

• 35P25
• 35Q60
• 78A40

Acknowledgements

The authors would like to acknowledge financial support from the Special Account for Research Grants of the National and Kapodistrian University of Athens (grant no. 70/4/6412).