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This paper studies the electrostatic responses of a polarly radiallyanisotropic cylinder and a spherically radially anisotropic sphere. For bothgeometries, the permittivity components differ from each other in the radialand tangential directions. We show that choosing the ratio between thesecomponents in a certain way, these rather simple structures can be used incloaking dielectric inclusions with arbitrary permittivity and shape in thequasi-static limit. For an ideal cloak, the contrast between the permittivitycomponents has to tend to infinity. However, only positive permittivity valuesare required and a notable cloaking effect can already be observed withrelatively moderate permittivity contrasts. Furthermore, we show that thepolarly anisotropic cylindrical shell has a complementary capability ofmagnifying the response of an inner cylinder.

Cloaking and Magnifying Using Radial Anisotropy