Far-field sub-diffraction optical lenses “FaSDOLs” comprise an anisotropic crystal having special dispersion characteristics such that it supports diffraction free propagation. An image with subwavelength features on the input surface is transferred through a propagation function to the output surface with effectively no, or minimal, loss in information. These special properties may be exploited in several ways, including but not limited to, magnification of an image at the input surface through the use an oblique cut at the output surface, magnification of an image at the input surface through use of a curved crystalline structure, and more generally near-field optical processing.