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Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Anthony J Campillo
  • Vol. 32, Iss. 7 — Apr. 1, 2007
  • pp: 742–744

Hypergeometric modes

V. V. Kotlyar, R. V. Skidanov, S. N. Khonina, and V. A. Soifer  »View Author Affiliations


Optics Letters, Vol. 32, Issue 7, pp. 742-744 (2007)
http://dx.doi.org/10.1364/OL.32.000742


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Abstract

A new family of paraxial laser beams that form an orthogonal basis is discussed. When propagated in uniform space, these beams preserve their structure to scale. The intensity distribution profile for such beams is similar to that for the Bessel modes, representing a set of alternating bright and dark concentric rings. The complex amplitude of these beams is proportional to the degenerate (confluent) hypergeometric function, and therefore we term such beams hypergeometric (HyG) modes. The HyG modes are generated with a liquid-crystal microdisplay.

© 2007 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(050.1970) Diffraction and gratings : Diffractive optics
(230.6120) Optical devices : Spatial light modulators

ToC Category:
Diffraction and Gratings

History
Original Manuscript: November 21, 2006
Revised Manuscript: December 26, 2006
Manuscript Accepted: December 31, 2006
Published: March 5, 2007

Citation
V. V. Kotlyar, R. V. Skidanov, S. N. Khonina, and V. A. Soifer, "Hypergeometric modes," Opt. Lett. 32, 742-744 (2007)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-32-7-742


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