Unrestricted superlensing in a triangular two dimensional photonic crystal

We demonstrate unrestricted superlensing in a triangular twodimensional hotonic crystal. We investigate simple two-point light sources maged by a slab lenses made of this photonic crystal, and show that the efraction of light follows simple rules of geometric optics with the Snell'slaw efraction at each interface, and an effective isotropic refractive index n= -1 for light propagating inside the crystal. We contrast this behavior with that of a square two-dimensional photonic crystal in the first photonic band, where the effective dielectric response is anisotropic. This leads to a restricted superlensing, which does not follow the geometric optics.