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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 8 — Apr. 22, 2013
  • pp: 9484–9490

Random coupling between groups of degenerate fiber modes in mode multiplexed transmission

Cristian Antonelli, Antonio Mecozzi, Mark Shtaif, and Peter J. Winzer  »View Author Affiliations


Optics Express, Vol. 21, Issue 8, pp. 9484-9490 (2013)
http://dx.doi.org/10.1364/OE.21.009484


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Abstract

We study random coupling induced crosstalk between groups of degenerate modes in spatially multiplexed optical transmission. Our analysis shows that the average crosstalk is primarily determined by the wavenumber mismatch, by the correlation length of the random perturbations, and by the coherence length of the degenerate modes, whereas the effect of a deterministic group velocity difference is negligible. The standard deviation of the crosstalk is shown to be comparable to its average value, implying that crosstalk measurements are inherently noisy.

© 2013 OSA

OCIS Codes
(060.2330) Fiber optics and optical communications : Fiber optics communications
(060.4230) Fiber optics and optical communications : Multiplexing
(060.4510) Fiber optics and optical communications : Optical communications

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: January 4, 2013
Revised Manuscript: February 18, 2013
Manuscript Accepted: March 4, 2013
Published: April 9, 2013

Citation
Cristian Antonelli, Antonio Mecozzi, Mark Shtaif, and Peter J. Winzer, "Random coupling between groups of degenerate fiber modes in mode multiplexed transmission," Opt. Express 21, 9484-9490 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-8-9484


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References

  1. P. J. Winzer and G. J. Foschini, “MIMO capacities and outage probabilities in spatially multiplexed optical transport systems,” Opt. Express19, 16680–16696 (2011). [CrossRef] [PubMed]
  2. K. P. Ho and J. M. Kahn, “Statistics of group delays in multi-mode fibers with strong mode coupling,” J. Light-wave Technol.29, 3119–3128 (2011). [CrossRef]
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  8. The deterministic coupling between members of an LP mode group [9] is not included in B as its effect is assumed to be masked by the presence of the random perturbations which are represented by the second term in the square brackets of Eq. (1). This is consistent with the fact that strong random coupling between the constituent pseudo-modes is observed in experiments.
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  11. Strictly speaking the matrices Ul and Uq are independent up to a scalar phase factor that is negligible as compared to the phase difference due to the deterministic wavenumber mismatch.
  12. The quantity that we refer to as the coherence length of the field describes the propagation distance along which the field decorrelates due to the fiber perturbations. It is not related to the coherence length of the light source.
  13. A. Galtarossa, L. Palmieri, M. Schiano, and T. Tambosso, “Measurement of birefringence correlation length in long, single-mode fibers,” Opt. Lett.26, 962–964 (2001). [CrossRef]
  14. J. Vuong, P. Ramantanis, A. Seck, D. Bendimerad, and Y. Frignac, “Understanding discrete linear mode coupling in few-mode fiber transmission systems,” Proceedings of ECOC 2011, Paper Tu.5.B.2 (2011).
  15. C. W. Gardiner, Stochastic methods for physics, chemistry and natural sciences (Springer-Verlag, NY, 1983).

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