Compressive Imaging of Subwavelength Structures

The problem of imaging periodic structure (source or scatterer) is formulated in the framework of compressed sensing with special attention on subwavelength resolution. It is shown that in this formulation the subwavelength resolution in the presence of noise can not be achieved by compressed sensing techniques alone. Additional techniques such as near-field measurement or illumination are required and the resolution limit is derived, which says that the smallest stably resolvable scale is about either half the wavelength or the distance of the sensors to the target, whichever is smaller. Numerical simulations are consistent with the theoretical prediction.