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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 9 — May. 5, 2014
  • pp: 10815–10824

A non-orthogonal coupled mode theory for super-modes inside multi-core fibers

Junhe Zhou  »View Author Affiliations


Optics Express, Vol. 22, Issue 9, pp. 10815-10824 (2014)
http://dx.doi.org/10.1364/OE.22.010815


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Abstract

In this paper, a non-orthogonal coupled mode theory is proposed to analyze the super-modes of multi-core fibers (MCFs). The theory is valid in the strong coupling regime and can provide accurate analytical formulas for the super-modes inside MCFs. MCFs with circularly distributed cores are analyzed as an example. Analytical formulas are derived both for the refractive indexes and the eigen vectors of the super-modes. It is rigorously revealed that the eigen vectors for the super-modes of such MCFs are the row vectors of the inverse discrete Fourier transform (IDFT) matrix. Therefore, by pre-coding the signal channels via IDFT, one is able to generate the super-modes for the MCFs with circularly distributed cores.

© 2014 Optical Society of America

OCIS Codes
(060.0060) Fiber optics and optical communications : Fiber optics and optical communications
(060.4005) Fiber optics and optical communications : Microstructured fibers

ToC Category:
Fiber Optics

History
Original Manuscript: March 3, 2014
Revised Manuscript: April 21, 2014
Manuscript Accepted: April 22, 2014
Published: April 28, 2014

Citation
Junhe Zhou, "A non-orthogonal coupled mode theory for super-modes inside multi-core fibers," Opt. Express 22, 10815-10824 (2014)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-22-9-10815


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References

  1. H. R. Stuart, “Dispersive multiplexing in multimode optical fiber,” Science 289(5477), 281–283 (2000). [CrossRef] [PubMed]
  2. T. Hayashi, T. Taru, O. Shimakawa, T. Sasaki, and E. Sasaoka, “Ultra-low-crosstalk multi-core fiber feasible to ultra-long-haul transmission,” in Optical Fiber Communication Conference/National Fiber Optic Engineers Conference 2011, OSA Technical Digest (CD) (Optical Society of America, 2011), paper PDPC2. [CrossRef]
  3. C. Xia, N. Bai, R. Amezcua-Correa, E. Antonio-Lopez, A. Schulzgen, M. Richardson, X. Zhou, and G. Li, “Supermodes in strongly-coupled multi-core fibers,” in Optical Fiber Communication Conference/National Fiber Optic Engineers Conference 2013, OSA Technical Digest (online) (Optical Society of America, 2013), paper OTh3K.5. [CrossRef]
  4. C. Xia, N. Bai, I. Ozdur, X. Zhou, G. Li, “Supermodes for optical transmission,” Opt. Express 19(17), 16653–16664 (2011). [CrossRef] [PubMed]
  5. K. Takenaga, Y. Arakawa, Y. Sasaki, S. Tanigawa, S. Matsuo, K. Saitoh, M. Koshiba, “A large effective area multi-core fiber with an optimized cladding thickness,” Opt. Express 19(26), B543–B550 (2011). [CrossRef] [PubMed]
  6. F. Saitoh, K. Saitoh, M. Koshiba, “A design method of a fiber-based mode multi/demultiplexer for mode-division multiplexing,” Opt. Express 18(5), 4709–4716 (2010). [CrossRef] [PubMed]
  7. Y. Zheng, J. Yao, L. Zhang, Y. Wang, W. Wen, R. Zhou, Z. Di, L. Jing, “Supermode analysis in multi-core photonic crystal fiber laser,” Proc. SPIE 7843, 784316 (2010).
  8. E. Kapon, J. Katz, A. Yariv, “Supermode analysis of phase-locked arrays of semiconductor lasers,” Opt. Lett. 9(4), 125–127 (1984). [CrossRef] [PubMed]
  9. T. Mansuryan, Ph. Rigaud, G. Bouwmans, V. Kermene, Y. Quiquempois, A. Desfarges-Berthelemot, P. Armand, J. Benoist, A. Barthélémy, “Spatially dispersive scheme for transmission and synthesis of femtosecond pulses through a multicore fiber,” Opt. Express 20(22), 24769–24777 (2012). [CrossRef] [PubMed]
  10. J. Hudgings, L. Molter, M. Dutta, “Design and modeling of passive optical switches and power dividers using non-planar coupled fiber arrays,” IEEE J. Quantum Electron. 36(12), 1438–1444 (2000). [CrossRef]
  11. K. L. Reichenbach, C. Xu, “Numerical analysis of light propagation in image fibers or coherent fiber bundles,” Opt. Express 15(5), 2151–2165 (2007). [CrossRef] [PubMed]
  12. Y. Kokubun, M. Koshiba, “Novel multi-core fibers for mode division multiplexing: Proposal and design principle,” IEICE Electron. Express 6(8), 522–528 (2009). [CrossRef]
  13. A. Mafi, J. Moloney, “Shaping modes in multicore photonic crystal fibers,” IEEE Photon. Technol. Lett. 17(2), 348–350 (2005). [CrossRef]
  14. Y. C. Meng, Q. Z. Guo, W. H. Tan, Z. M. Huang, “Analytical solutions of coupled-mode equations for multiwaveguide systems, obtained by use of Chebyshev and generalized Chebyshev polynomials,” J. Opt. Soc. Am. A 21(8), 1518–1528 (2004). [CrossRef] [PubMed]
  15. S. Peleš, J. L. Rogers, K. Wiesenfeld, “Robust synchronization in fiber laser arrays,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73(2), 026212 (2006). [CrossRef] [PubMed]
  16. J. Zhou, P. Gallion, “A novel mode multiplexer/de-multiplexer for multi-core fibers,” IEEE Photon. Technol. Lett. 25(13), 1214–1217 (2013). [CrossRef]
  17. B. E. Little, W. P. Huang, “Coupled-mode theory for optical waveguides,” Prog. Electromagn. Res. 10, 217–270 (1995).
  18. W. P. Huang, “Coupled-mode theory for optical waveguides: an overview,” J. Opt. Soc. Am. A 11(3), 963–983 (1994). [CrossRef]
  19. J. Zhou, “Analytical formulation of super-modes inside multi-core fibers with circularly distributed cores,” Opt. Express 22(1), 673–688 (2014). [CrossRef] [PubMed]
  20. W. Snyder, “Coupled-mode theory for optical fibers,” J. Opt. Soc. Am. 62(11), 1267–1277 (1972). [CrossRef] [PubMed]
  21. R. M. Gray, “Toeplitz and circulant matrices: a review,” Found. Trends Commun. Inf. Theory 2(3), 155–239 (2005). [CrossRef]

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