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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry M. Van Driel
  • Vol. 24, Iss. 10 — Oct. 1, 2007
  • pp: 2666–2675

Optical vortices and topological phase in strongly anisotropic coiled few-mode optical fibers

Constantine N. Alexeyev, Boris A. Lapin, and Maxim A. Yavorsky  »View Author Affiliations


JOSA B, Vol. 24, Issue 10, pp. 2666-2675 (2007)
http://dx.doi.org/10.1364/JOSAB.24.002666


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Abstract

We study the structure of l = 1 modes of strongly anisotropic coiled weakly guiding optical fibers. By solving the vector wave equation within the framework of the perturbation theory with degeneracy, we analytically establish the expressions for modes and their polarization corrections. We show that, at certain parameters of the fiber helix, the l = 1 modes are represented by almost pure optical vortices that maintain a linear polarization in the Frenet frame. We demonstrate that, in this case, the propagation constants comprise geometrically induced terms that are proportional to the orbital angular momentum (OAM) of the mode. We show that the vortex modes acquire upon propagation additional topological phases proportional to their intrinsic OAM and to the solid angle subtended by one helix coil. The presence of such a topological phase results in rotation (at a constant polarization) of the intensity patterns; after one coil the rotation angle equals the solid angle subtended by a coil.

© 2007 Optical Society of America

OCIS Codes
(060.2310) Fiber optics and optical communications : Fiber optics
(230.7370) Optical devices : Waveguides
(260.0260) Physical optics : Physical optics
(050.4865) Diffraction and gratings : Optical vortices
(260.6042) Physical optics : Singular optics

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: March 29, 2007
Revised Manuscript: July 21, 2007
Manuscript Accepted: August 9, 2007
Published: September 21, 2007

Citation
Constantine N. Alexeyev, Boris A. Lapin, and Maxim A. Yavorsky, "Optical vortices and topological phase in strongly anisotropic coiled few-mode optical fibers," J. Opt. Soc. Am. B 24, 2666-2675 (2007)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-24-10-2666

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