A differential scattering field from a 2D target near a plane interface is studied by means of what we believe is a new hybrid method based on the reciprocity theorem (RT), the image theory (IT), and the Method of Moments (MoM) technique. Dielectric materials are considered for the target and the substrate. By application of IT, the plane interface is replaced by the virtual image target of the actual one, and an equivalent model of the scattering problem is presented. In the equivalent model, the scattered field from the actual and the virtual targets are numerically calculated by employing MoM, and the rescattered coupling fields between the actual and the virtual targets are evaluated utilizing the combination of MoM and RT. As a test of the new hybrid approach, a series of calculations for targets above interfaces are carried out. The numerical results of these tests are presented and compared with previously published calculations for the same problems. We find that numerical results calculated with this hybrid method are a significant improvement over those calculated assuming the interface to be perfectly conducting and those that do not include the interaction fields. Our approach seems promising for several applications in both optics and microwaves.
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