The reciprocity gap operator for electromagnetic scattering in chiral media

Abstract

We define a reciprocity gap functional for electromagnetic scattering in chiral media. We assume that a perfectly conducting scatterer is embedded in a piecewise homogeneous isotropic background chiral medium. The incident field is a spherical electromagnetic wave due to a point source located at a point contained in a chiral environment. We also define the chiral reciprocity gap operator and we prove that it is injective and it has dense range. Using these results and appropriate density properties of chiral Herglotz functions we solve an inverse scattering problem for the determination of the boundary of the scatterer from the knowledge of the tangential components of the electric and magnetic fields.

Keywords:

• Inverse scattering
• reciprocity gap functional
• chiral media

AMS Subject Classifications:

• 35Q60
• 35R30
• 78A46

Disclosure statement

No potential conflict of interest was reported by the author(s).