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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 12, Iss. 8 — Apr. 19, 2004
  • pp: 1497–1509

Reflection symmetry and mode transversality in microstructured fibers

Michael J. Steel  »View Author Affiliations


Optics Express, Vol. 12, Issue 8, pp. 1497-1509 (2004)
http://dx.doi.org/10.1364/OPEX.12.001497


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Abstract

We investigate the influence of reflection symmetry on the properties of the modes of microstructured optical fibers. It is found that structures with reflection symmetry tend to support non-degenerate modes which are closer in nature to the analogous TE and TM modes of circular step-index fibers, as compared with fibers with only rotational symmetry. Reflection symmetry induces modes to exhibit smaller longitudinal components and transverse fields which are more strongly reminiscent of the radial and azimuthal modes of circular fibers. The tendency towards “transversality” can be viewed as a result of the interaction of group theoretical restrictions on the mode profiles and minimization of the Maxwell Hamiltonian.

© 2004 Optical Society of America

OCIS Codes
(060.2280) Fiber optics and optical communications : Fiber design and fabrication
(060.2400) Fiber optics and optical communications : Fiber properties

ToC Category:
Focus Issue: Photonic crystals and holey fibers

History
Original Manuscript: January 13, 2004
Revised Manuscript: February 12, 2004
Published: April 19, 2004

Citation
Michael Steel, "Reflection symmetry and mode transversality in microstructured fibers," Opt. Express 12, 1497-1509 (2004)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-12-8-1497


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References

  1. P. R. McIsaac, �??Symmetry-induced modal characteristics of uniform waveguides,�?? IEEE Transactions on Microwave Theory and Techniques MTT-23(5), 421�??433 (1975). [CrossRef]
  2. M. J. Steel, T. P. White, C. M. de Sterke, R. C. McPhedran, and L. C. Botten, �??Symmetry and degeneracy in microstructured optical fibers,�?? Opt. Lett. 26, 488�??490 (2001). [CrossRef]
  3. S.-H. Kim and Y.-H. Lee, �??Symmetry relations of two-dimensional photonic crystal cavity modes,�?? IEEE J. Quantum Electron. 39, 1081�??1085 (2003). [CrossRef]
  4. A. Cucinotta, S. Selleri, L. Vincetti, and M. Zoboli, �??Perturbation analysis of dispersion properties in photonic crystal fibers through the finite element method,�?? J. Lightwave Technol. 20, 1433�??1442 (2002). [CrossRef]
  5. M. Koshiba and K. Saitoh, �??Structural dependence of effective area and mode field diameter for holey fibers,�?? Opt. Express 11, 1746�??1756, <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-15-1746">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-15-1746</a>. [PubMed]
  6. U. N. Singh, O. N. S. II, P. Khastgir, and K. K. Dey, �??Dispersion characteristics of a helically cladded step-index optical fiber: an analytical study,�?? J. Opt. Soc. Am. B 12, 1273�??1278 (1995). [CrossRef]
  7. RSoft Design Group, Inc. <a href="http://www.rsoftdesign.com">http://www.rsoftdesign.com</a>.
  8. D. Mogilevtsev, T. A. Birks, and P. St. J. Russell, �??Localized function method for modeling defect modes in 2-D photonic crystals,�?? J. Lightwave Technol. 17(11), 2078�??2081 (1999). [CrossRef]
  9. T. M. Monro, D. J. Richardson, N. G. R. Broderick, and P. J. Bennett, �??Modeling large air fraction holey optical fibers,�?? J. Lightwave Technol. 18(1), 50�??56 (2000). [CrossRef]
  10. T. P. White, R. C. McPhedran, C. M. de Sterke, L. C. Botten, and M. J. Steel, �??Confinement losses in microstructured optical fibres,�?? Opt. Lett. 26, 488�??490 (2001). [CrossRef]
  11. 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]
  12. M. van Eijkelenborg, M. Large, A. Argyros, J. Zagari, S. Manos, N. A. Issa, I. M. Bassett, S. C. Fleming, R. C. McPhedran, C. M. de Sterke, and N. A. P. Nicorovici, �??Microstructured polymer optical fibre,�?? Opt. Express 9, 319�??327 (2001), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-9-7-319">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-9-7-319</a>. [CrossRef] [PubMed]
  13. C. Vassallo, Optical Waveguide Concepts (Elsevier, Amsterdam, 1991).

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