We discuss how one can achieve subwavelength resolution using incident and scattered evanescent waves. We develop the underlying theoretical framework. We show how radiation from a dipole near a structure serves as its probe. * Based on a talk given at the workshop on Physical Optics and Coherence Theory, Optical Society of America, Long Beach, CA, October 1997. † E-mail address: gsa@prl.ernet.in ‡ The field of superresolution is rapidly expanding. Many interesting reviews can be found in [6], see especially the section dealing with theoretical developments.