Particular cases of hypergeometric laser beams in optical micromanipulation

We derive explicit analytical expressions to describe paraxial light beams that represent a particular case of the hypergeometric (HyG) laser beams [J.Opt.Soc.Am.A, v.25, p.262-270 (2008)]. Among these are modified quadratic Bessel-Gaussian (mQBG) beams, hole Gaussian optical vortices (HGOV), modified elegant Laguerre-Gaussian beams (meLG), and gamma-hypergeometric (γHyG) 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. A possibility of rotating dielectric microparticles in the bright diffraction ring of the HyG beam is experimentally demonstrated.