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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 25 — Dec. 8, 2008
  • pp: 21069–21075

Improved focusing with Hypergeometric-Gaussian type-II optical modes

Ebrahim Karimi, Bruno Piccirillo, Lorenzo Marrucci, and Enrico Santamato  »View Author Affiliations

Optics Express, Vol. 16, Issue 25, pp. 21069-21075 (2008)

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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 in the waist of HyGG-II among all known finite power paraxial modes families. 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.

© 2008 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(260.6042) Physical optics : Singular optics

ToC Category:
Physical Optics

Original Manuscript: October 24, 2008
Revised Manuscript: November 20, 2008
Manuscript Accepted: December 2, 2008
Published: December 4, 2008

Ebrahim Karimi, Bruno Piccirillo, Lorenzo Marrucci, and Enrico Santamato, "Improved focusing with Hypergeometric-Gaussian type-II optical modes," Opt. Express 16, 21069-21075 (2008)

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Fig. 1. Fig. 2. Fig. 3.

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