title: Devil's vortex-lenses.
abstract: In this paper we present a new kind of vortex lenses in which the radial phase distribution is characterized by the "devil's staircase" function. The focusing properties of these fractal DOEs coined Devil's vortex-lenses are analytically studied and the influence of the topological charge is investigated. It is shown that under monochromatic illumination a vortex devil's lens give rise a focal volume containing a delimited chain of vortices that are axially distributed according to the self-similarity of the lens.
authors.affiliation: Departamento de Optica, Universitat de València, Burjassot, Spain. walter.furlan@uv.es
authors.forename: Walter D
authors.initials: WD
authors.lastname: Furlan
authors.forename: Fernando
authors.initials: F
authors.lastname: Giménez
authors.forename: Arnau
authors.initials: A
authors.lastname: Calatayud
authors.forename: Juan A
authors.initials: JA
authors.lastname: Monsoriu
mesh_terms: D000465:Algorithms; D004867:Equipment Design; D017709:Fractals; D008027:Light; D015233:Models, Statistical; D008962:Models, Theoretical; D052898:Optical Tweezers; D055095:Optics and Photonics