Cloaking and magnifying using radial anisotropy in non-integer dimensional space

Abstract

This manuscript studies the impact of non-integer dimensional (NID) space on cloaking and magnification introduced through polarly radially anisotropic (PRA) cylindrical shell/spherically radially anisotropic (SRA) spherical shell. By selecting appropriate value of ratio, between components of tensor permittivity, these structures in ordinary space (α=3) can yield cloaking and magnification under the quasi-static limit. In case of NID space (α≠3), PRA cylindrical shell can only yield cloaking. It has been shown that bound on anisotropy ratio get effected by the NID parameter in case of PRA shell. It has also been noted that magnification cannot be achieved using PRA shell in NID space. Further, cloaking and magnification of SRA shell remains independent of parameter describing NID space.