The MFS for direct and inverse electromagnetic scattering problems in chiral media.

In the present work the scattering problem of electromagnetic waves by a penetrable chiral body embedded in a chiral environment is formulated and studied. Vector potentials in terms of the dyadic fundamental solution of the differential operator for chiral media are defined and used in order to study the solvability of the direct scattering problem. Moreover, these potentials are used in order to study the mathematical foundation of the method of fundamental solutions (MFS) in chiral media. It is proven that the approximation of the sought for solution of the direct scattering problem via the MFS is reduced to the approximation of the known boundary data from appropriately constructed systems of functions for which linear independence and completeness on the surface of the scatterer are proven. An inverse electromagnetic scattering problem is presented and studied in order to obtain information about the geometrical properties of a perfectly conducting scatterer of unknown size embedded in a chiral medium. A MFS technique is applied in order to solve this type of inverse scattering problems. Numerical results are presented for the special geometrical case of spherical scattering objects for both direct and inverse scattering problems in chiral media. [ABSTRACT FROM AUTHOR]