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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 12, Iss. 6 — Mar. 22, 2004
  • pp: 1126–1135

Full-vectorial analysis of complex refractive-index photonic crystal fibers

Ren Guobin, Wang Zhi, Lou Shuqin, Liu Yan, and Jian Shuisheng  »View Author Affiliations

Optics Express, Vol. 12, Issue 6, pp. 1126-1135 (2004)

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We investigated the modal properties of complex refractive-index core photonic crystal fibers (PCFs) with the supercell model. The validity of the approach is shown when we compare our results with those reported earlier on a step complex refractive-index profile. The imaginary part of the electric field results in wave-front distortion in the complex refractive-index profile PCFs, which means that the power flows out or into the doped region according to the sign of the imaginary part of the refractive index. A simple formula is proposed for calculating the gain or loss coefficients of these fibers. The numerical results obtained by the approximation formula agree well with the full-vectorial results.

© 2004 Optical Society of America

OCIS Codes
(060.2280) Fiber optics and optical communications : Fiber design and fabrication
(060.2310) Fiber optics and optical communications : Fiber optics
(230.7370) Optical devices : Waveguides

ToC Category:
Research Papers

Original Manuscript: January 16, 2004
Revised Manuscript: February 25, 2004
Published: March 22, 2004

Ren Guobin, Wang Zhi, Lou Shuqin, Liu Yan, and Jian Shuisheng, "Full-vectorial analysis of complex refractive index photonic crystal fibers," Opt. Express 12, 1126-1135 (2004)

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  1. A. Reisinger, �??Characteristics of optical guided modes in lossy waveguides,�?? Appl. Opt. 12, 1015-1025 (1973). [CrossRef] [PubMed]
  2. J.E. Sader, �??�??Method for analysis of complex refractive index profile fibers,�??�?? Opt. Lett. 15, 107-109 (1990). [CrossRef]
  3. E. K. Sharma, Mukesh. P. Singh, and A. Sharma, �??Variational analysis of optical fibers with loss or gain,�?? Opt. Lett. 18, 2096-2098 (1993). [CrossRef] [PubMed]
  4. Sunanda and E. K. Sharma, �??Field variational analysis for modal gain in erbium-doped fiber amplifiers,�?? J. Opt. Soc. Am. B, 16, 1344�??1347 (1999). [CrossRef]
  5. R. Singh Sunanda, and E. Khular Sharma, �??Propagation characteristics of single-mode optical fibers with arbitrary complex index profiles: a direct numerical approach,�?? IEEE J. Quantum Electron. 37, 635-640 (2001). [CrossRef]
  6. T. A. Birks, J. C. Knight, and P. St. J. Russell, �??Endlessly single-mode photonic crystal fiber,�?? Opt. Lett. 22, 961-963 (1997). [CrossRef] [PubMed]
  7. M. Ibanescu, Y. Fink, S. Fan, E. L. Thomas, and J. D. Joannopoulos, �??An all-dielectric coaxial waveguide,�?? Science 289, 415-419(2000). [CrossRef] [PubMed]
  8. W. J. Wadsworth, J.C. Knight, W. H. Reeves, P.S.J. Russell, and J Arriaga, "Yb3+-doped photonic crystal fibre laser," Electronics Lett. 36, 1452 �?? 1454 (2000) [CrossRef]
  9. K. G. Hougaard, J. Broeng, and A. Bjarklev, �??Low pump power photonic crystal fibre amplifiers,�?? Electron. Lett., 39, 599-600 (2003) [CrossRef]
  10. J. Limpert, T. Schreiber, S. Nolte, H. Zellmer, T. Tunnermann, R. Iliew, F. Lederer, J. Broeng, G. Vienne, A. Petersson, and C. Jakobsen, "High-power air-clad large-mode-area photonic crystal fiber laser," Opt. Express 11, 818-823 (2003), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-7-818">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-7-818</a> [CrossRef] [PubMed]
  11. Yu-Li Hsueh, E. S.T. Hu, M. E. Marhic, and G. Kazovsky, �??Opposite- arity orthonormal function expansion for efficient full-vectorial modeling of holey optical fibers,�?? Opt. Lett. 28, 1188-1190 (2003). [CrossRef] [PubMed]
  12. T.M. Monro, D.J. Richardson, N.G.R. Broderick, and P. J. Bennett, �??Holey optical fibers: an efficient modal model,�?? J. Lightwave Technol. 17, 1093-1102 (1999). [CrossRef]
  13. W. Zhi, R.G. Bin, L.S. Qin, and J. S. Sheng, �??Supercell lattice method for photonic crystal fibers,�?? Opt. Express 11, 980-991 (2003), <a href=" http://www.opticsexpress.org/ abstract. cfm? URI=OPEX-11-9-980.">http://www.opticsexpress.org/ abstract. cfm? URI=OPEX-11-9-980.</a> [CrossRef] [PubMed]
  14. R. Guobin, W. Zhi, L. Shuqin, and J. Shuisheng, "Mode classification and degeneracy in photonic crystal fibers," Opt. Express 11, 1310-1321 (2003), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-11-1310">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-11-1310</a> [CrossRef] [PubMed]
  15. W. Zhi, R. Guobin, L. Shuqin, L. Weijun, and S. Guo, "Compact supercell method based on opposite parity for Bragg fibers," Opt. Express 11, 3542-3549 (2003), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-26-3542">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-26-3542</a> [CrossRef] [PubMed]
  16. A.W. Snyder and J.D. Love, Optical Waveguide Theory (Chapman and Hall, New York, 1983).
  17. B. T. Kuhlmey, R. C. McPhedran, C. M. de Sterke, P. A. Robinson, G. Renversez, and D. Maystre, "Microstructured optical fibers: where�??s the edge?" Opt. Express 10, 1285-1290 (2002), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-22-1285">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-22-1285</a> [CrossRef] [PubMed]

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