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.
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机译：我们得出显式解析关系来描述代表超几何（HyG）激光束的特殊情况的近轴光束[J.选择。 Soc。上午。 A 25，262-270（2008）]。其中包括改进的二次贝塞尔-高斯光束，空心高斯光学涡旋，改进的优雅拉盖尔-高斯光束和伽马-HyG光束。使用电子束微光刻，合成了能够产生近HyG光束的二元衍射光学元件。理论与实验充分吻合。我们实验证明使用HyG束的明亮衍射环旋转介电微粒的能力。
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