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We show that anisotropic negative effective dispersion relation can beachieved in pure dielectric rod-type metamaterials by turning from the symmetryof a square lattice to that of a rectangular one, i.e. by breaking the rotationsymmetry of effective homogeneous medium. Theoretical predictions andconclusions are verified by both numerical calculations and computer basedsimulations. The proposed anisotropic metamaterial, is used to construct arefocusing slab-lens and a subdiffraction hyperlens. The all-dielectric originmakes it more straightforward to address loss and scaling, two major issues ofmetallic structures, thus facilitating future applications in both theterahertz and optical range.

Achieving Anisotropy in Metamaterials made of Dielectric Cylindrical Rods