  This paper is devoted to superlensing using hyperbolic metamaterials: the
possibility to image an arbitrary object using hyperbolic metamaterials without
imposing any conditions on size of the object and the wave length. To this end,
two types of schemes are suggested and their analysis are given. The
superlensing devices proposed are independent of the object. It is worth noting
that the study of hyperbolic metamaterials is challenging due to the change
type of modelling equations, elliptic in some regions, hyperbolic in some
others.
