OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 21 — Oct. 8, 2012
  • pp: 23436–23441

Coupled Manakov equations in multimode fibers with strongly coupled groups of modes

Antonio Mecozzi, Cristian Antonelli, and Mark Shtaif  »View Author Affiliations

Optics Express, Vol. 20, Issue 21, pp. 23436-23441 (2012)

View Full Text Article

Enhanced HTML    Acrobat PDF (721 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We derive the fundamental equations describing nonlinear propagation in multi-mode fibers in the presence of random mode coupling within quasi-degenerate groups of modes. Our result generalizes the Manakov equation describing mode coupling between polarizations in single-mode fibers. Nonlinear compensation of the modal dispersion is predicted and tested via computer simulations.

© 2012 OSA

OCIS Codes
(060.2330) Fiber optics and optical communications : Fiber optics communications
(060.4230) Fiber optics and optical communications : Multiplexing
(190.4370) Nonlinear optics : Nonlinear optics, fibers

ToC Category:
Fiber Optics and Optical Communications

Original Manuscript: August 10, 2012
Revised Manuscript: September 12, 2012
Manuscript Accepted: September 14, 2012
Published: September 27, 2012

Antonio Mecozzi, Cristian Antonelli, and Mark Shtaif, "Coupled Manakov equations in multimode fibers with strongly coupled groups of modes," Opt. Express 20, 23436-23441 (2012)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. A. Mecozzi, C. Antonelli, and M. Shtaif, “Nonlinear propagation in multi-mode fibers in the strong coupling regime,” Opt. Express20, 11673–11678 (2012). [CrossRef] [PubMed]
  2. D. Gloge, “Weakly guiding fibers,” Appl. Opt.10, 2252–2258 (1971). [CrossRef] [PubMed]
  3. S. V. Manakov, “On the theory of two-dimensional stationary self-focusing of electromagnetic waves,” Sov. Phys. JETP38, 248–253 (1974).
  4. A. Mecozzi, C. Antonelli, and M. Shtaif, “Soliton trapping in multimode fibers with random mode coupling,” arXiv:1207.6506v2 [physics.optics] (2012).
  5. F. Poletti and P. Horak, “Description of ultrashort pulse propagation in multimode optical fibers,” J. Opt. Soc. Am. B25, 1645–1654 (2008). [CrossRef]
  6. D. Marcuse, C. R. Menyuk, and P. K. A. Wai, “Application of the Manakov-PMD equation to studies of signal propagation in optical fibers with randomly varying birefringence,” J. Lightwave Technol.15, 1735–1746 (1997). [CrossRef]
  7. R. Ryf, S. Randel, A. H. Gnauck, C. Bolle, A. Sierra, S. Mumtaz, M. Esmaeelpour, E. C. Burrows, R. Essiambre, P. J. Winzer, D. W. Peckham, A. H. McCurdy, and R. Lingle, “Mode-division multiplexing over 96 km of few-mode fiber using coherent 6 × 6 MIMO processing,” J. Lightwave Technol.30, 521–531 (2012). [CrossRef]
  8. M. Salsi, C. Koebele, D. Sperti, P. Tran, H. Mardoyan, P. Brindel, S. Bigo, A. Boutin, F. Verluise, P. Sillard, M. Astruc, L. Provost, and G. Charlet, “Mode division multiplexing of 2 × 100Gb/s channels using an LCOS based spatial modulator,” J. Lightwave Technol.30, 618–623 (2012). [CrossRef]
  9. C. Antonelli, A. Mecozzi, M. Shtaif, and P. J. Winzer, “Stokes-space analysis of modal dispersion in fibers with multiple mode transmission,” Opt. Express20, 11718–11733 (2012). [CrossRef] [PubMed]
  10. V. G. Makhan’kov and O. K. Pashaev, “Nonlinear Schrödinger equation with noncompact isogroup,” Theor. Math. Phys.53, 55–67 (1982).
  11. A. Mecozzi, C. Antonelli, and M. Shtaif, “Optical nonlinearity in multi-mode fibers with random mode coupling,” in Proceedings of ECOC 2012, Paper P.1.11 (2012).
  12. S. Mumtaz, R. J. Essiambre, and G. P. Agrawal, “Nonlinear propagation in multimode and multicore fibers: generalization of the Manakov equations,” arXiv:1207.6645v1 [physics.optics] (2012).
  13. P. Sillard, M. Bigot-Astruc, D. Boivin, H. Maerten, and L. Provost “Few-mode fiber for uncoupled mode-division multiplexing transmissions,” in Proceedings of ECOC 2011, Paper Tu.5.7 (2011).
  14. M. N. Islam, C. D. Poole, and J. P. Gordon, “Soliton trapping in birefringent optical fibers,” Opt. Lett.14, 1011–1013 (1989). [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited