%0 Journal Article %T Flat lens without optical axis: Theory of imaging %A W. T. Lu %A S. Sridhar %J Physics %D 2005 %I arXiv %R 10.1364/OPEX.13.010673 %X We derive a general theory for imaging by a flat lens without optical axis. We show that the condition for imaging requires a material having elliptic dispersion relations with negative group refraction, equivalent to an effective anisotropic refractive index n(theta). Imaging can be achieved with both negative (n<0) and positive (n>0) refractive indices. The Veselago-Pendry lens is a special case with isotropic negative refractive index of n(theta)=-1. Realizations of the imaging conditions using anisotropic media and inhomogeneous media, particularly photonic crystals, are discussed. Numerical examples of imaging and requirements for sub-wavelength imaging are also presented. %U http://arxiv.org/abs/cond-mat/0501715v2