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. A 25, 262–270 (2008)]. 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.
© 2008 Optical Society of America
Diffraction and Gratings
Original Manuscript: March 11, 2008
Revised Manuscript: September 9, 2008
Manuscript Accepted: October 8, 2008
Published: November 7, 2008
V. V. Kotlyar, A. A. Kovalev, R. V. Skidanov, S. N. Khonina, and J. Turunen, "Generating hypergeometric laser beams with a diffractive optical element," Appl. Opt. 47, 6124-6133 (2008)