  The performance of antennas can severely deteriorate in the presence of
adjacent electrically-large scatterers. In this work, we use a conducting
hollow cylinder to shield the scatterer. The cylinder is shelled with single
layer dielectric and electromagnetic metasurface. The scattering field analysis
with respect to the surface impedance is derived. By optimizing the anisotropic
impedance distribution, the scattering cross-section can be effectively
reduced. The proposed method is valid for both TMz, TEz and non-TM/TE incident
field. The accuracy and effectiveness of the method are verified by four
cloaking scenarios in microwave regime. We demonstrate that with the surface
impedance obtained by our method, a metasurface is designed with physical
subwavelength structure. We also show a cloaking scenario under magnetic dipole
radiation, which is closer to the case of a realistic antenna. This method can
be further applied to cloaking tasks in terahertz and optical regimes.
