Enhancement of Near Cloaking for the Full Maxwell Equations

In this paper, we consider near cloaking for the full Maxwell equations. We extend the method of [5, 6], where the quasi-static limit case and the Helmholtz equation are considered, to electromagnetic scattering problems. We construct very effective near cloaking structures for the electromagnetic scattering problem at a fixed frequency. These new structures are, before using the transformation optics, layered structures and are designed so that their first scattering coefficients vanish. Inside the cloaking region, any target has near-zero scattering cross section for a band of frequencies. We analytically show that our new construction significantly enhances the cloaking effect for the full Maxwell equations. AMS subject classifications. 35R30, 35B30