title: Self-similar focusing with generalized devil's lenses.
abstract: We introduce the generalized devil's lenses (GDLs) as a new family of diffractive kinoform lenses whose structure is based on the generalized Cantor set. The focusing properties of different members of this family are analyzed. It is shown that under plane wave illumination the GDLs give a single main focus surrounded by many subsidiary foci. It is shown that the total number of subsidiary foci is higher than the number of foci corresponding to conventional devil's lenses; however, the self-similar behavior of the axial irradiance is preserved to some extent.
authors.affiliation: Departamento de Óptica, Universidad de Valencia, E-46100 Burjasstot, Valencia, Spain.
authors.forename: Cristina
authors.initials: C
authors.lastname: Casanova
authors.forename: Walter D
authors.initials: WD
authors.lastname: Furlan
authors.forename: Laura
authors.initials: L
authors.lastname: Remón
authors.forename: Arnau
authors.initials: A
authors.lastname: Calatayud
authors.forename: Juan A
authors.initials: JA
authors.lastname: Monsoriu
authors.forename: Omel
authors.initials: O
authors.lastname: Mendoza-Yero