title: Generating hypergeometric laser beams with a diffractive optical element.
abstract: We derive explicit analytical relations to describe paraxial light beams that represent a particular case of the hypergeometric (HyG) laser beams [J. Opt. Soc. Am. A25, 262-270 (2008)JOAOD60740-323210.1364/JOSAA.25.000262]. Among these are modified quadratic Bessel-Gaussian beams, hollow Gaussian optical vortices, modified elegant Laguerre-Gaussian beams, and gamma-HyG beams. Using e-beam microlithography, a binary diffractive optical element capable of producing near-HyG beams is synthesized. Theory and experiment are in sufficient agreement. We experimentally demonstrate the ability to rotate dielectric microparticles using the bright diffraction ring of a HyG beam.
authors.affiliation: Image Processing Systems Institute of the Russian Academy of Sciences, S. P. Korolyov Samara State Aerospace University, Molodogvardeiskaya 151, Samara 443001, Russia.
authors.forename: V V
authors.initials: VV
authors.lastname: Kotlyar
authors.forename: A A
authors.initials: AA
authors.lastname: Kovalev
authors.forename: R V
authors.initials: RV
authors.lastname: Skidanov
authors.forename: S N
authors.initials: SN
authors.lastname: Khonina
authors.forename: J
authors.initials: J
authors.lastname: Turunen