English

Improved focusing with Hypergeometric-Gaussian type-II optical modes

Optics 2009-11-13 v2

Abstract

We present a novel family of paraxial optical beams having a confluent hypergeometric transverse profile, which we name hypergeometric Gauss modes of type-II (HyGG-II). These modes are eigenmodes of the photon orbital angular momentum and they have the lowest beam divergence at waist of HyGG-II among all known finite power families of paraxial modes. We propose to exploit this feature of HyGG-II modes for generating, after suitable focusing, a "light needle" having record properties in terms of size and aspect ratio, possibly useful for near-field optics applications.

Cite

@article{arxiv.0811.0551,
  title  = {Improved focusing with Hypergeometric-Gaussian type-II optical modes},
  author = {Ebrahim Karimi and Bruno Piccirillo and Lorenzo Marrucci and Enrico Santamato},
  journal= {arXiv preprint arXiv:0811.0551},
  year   = {2009}
}

Comments

6 pages, 3 figures

R2 v1 2026-06-21T11:38:07.399Z