Controllable 3D spatial localization of light fields synthesized by non-diffracting modes

The 3D shaping of light fields based on the superposition of coherent non-diffracting modes is proposed and examined. The transverse amplitude profile of the field is composed of non-diffracting spots whose positions can be predetermined and their spatial shape and size controlled. Due to the self-imaging effect the formed transverse amplitude profile appears at the planes placed periodically along the propagation direction. The transverse and longitudinal localization of the light field is improved if the number of superposed non-diffracting modes is increased. The light then can be confined in the volume element whose transverse and longitudinal dimensions are comparable with the wavelength.