Metasurface cloaks for dielectric and metallic elliptical cylinders and strips

In this paper, we build on our previous work of cloaking with a metasurface and present an analytical framework for the analysis of electromagnetic cloaking of dielectric and metallic elliptical cylinders with graphene monolayer and a nanostructured graphene patch array at low-terahertz frequencies, and also with conformal printed and slotted arrays of sub-wavelength periodic elements at microwave frequencies. The scattering problem is solved in terms of elliptical waves represented by the radial and angular Mathieu functions, with the use of sheet impedance boundary conditions at the metasurface. It is shown that the scattering cancellation occurs for all the incident and scattering angles. A special case concerns the cloaking of a 2-D metallic strip as a degenerated ellipse with the elliptically shaped metasurface, by placing the focal points of the cloak at the edges of the strip.