title: Superoscillatory diffraction-free beams.
abstract: It is theoretically shown that by superimposing diffraction-free solutions of the Helmholtz equation, one can construct localized diffraction-free beams that pass through predetermined points on subwavelength distances. These beams are based on the phenomenon of superoscillations and thus do not contain any evanescent waves. The effect of an aperture and noise is examined in specific examples where truncated beams with λ/3 subwavelength features can propagate into the far field.
authors.affiliation: Institute for Theoretical Physics, Vienna University of Technology, Vienna, Austria. kgmakris78@yahoo.com
authors.forename: Konstantinos G
authors.initials: KG
authors.lastname: Makris
authors.forename: Demetri
authors.initials: D
authors.lastname: Psaltis