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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 12 — Jun. 6, 2011
  • pp: 11264–11270

Data transmission by hypergeometric modes through a hyperbolic-index medium

Bertúlio de Lima Bernardo and Fernando Moraes  »View Author Affiliations


Optics Express, Vol. 19, Issue 12, pp. 11264-11270 (2011)
http://dx.doi.org/10.1364/OE.19.011264


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Abstract

We study the existence of a novel complete family of exact and orthogonal solutions of the paraxial wave equation. The complex amplitude of these beams is proportional to the confluent hypergeometric function, which we name hypergeometric modes of type-II (HyG-II). It is formally demonstrated that hyperbolic-index medium can generate and support the propagation of such a class of beams. Since these modes are eigenfunctions of the photon orbital angular momentum, we conclude that an optical fiber with hyperbolic-index profile could take advantage over other graded-index fibers by the capacity of data transmission.

© 2011 OSA

OCIS Codes
(060.0060) Fiber optics and optical communications : Fiber optics and optical communications
(140.3300) Lasers and laser optics : Laser beam shaping
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: March 2, 2011
Revised Manuscript: May 13, 2011
Manuscript Accepted: May 19, 2011
Published: May 25, 2011

Citation
Bertúlio de Lima Bernardo and Fernando Moraes, "Data transmission by hypergeometric modes through a hyperbolic-index medium," Opt. Express 19, 11264-11270 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-12-11264


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