Generating hypergeometric laser beams with a diffractive optical element

V V Kotlyar; A A Kovalev; R V Skidanov; S N Khonina; J Turunen

doi:10.1364/ao.47.006124

Generating hypergeometric laser beams with a diffractive optical element

Appl Opt. 2008 Nov 10;47(32):6124-33. doi: 10.1364/ao.47.006124.

Authors

V V Kotlyar¹, A A Kovalev, R V Skidanov, S N Khonina, J Turunen

Affiliation

¹ Image Processing Systems Institute of the Russian Academy of Sciences, S. P. Korolyov Samara State Aerospace University, Molodogvardeiskaya 151, Samara 443001, Russia.

PMID: 19002238
DOI: 10.1364/ao.47.006124

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.