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Optics Express

Optics Express

  • Editor: C. Martijin de Sterke
  • Vol. 19, Iss. 7 — Mar. 28, 2011
  • pp: 6945–6956

Guidance in Kagome-like photonic crystal fibres I: analysis of an ideal fibre structure

Lei Chen, Greg J. Pearce, Timothy A. Birks, and David M. Bird  »View Author Affiliations


Optics Express, Vol. 19, Issue 7, pp. 6945-6956 (2011)
http://dx.doi.org/10.1364/OE.19.006945


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Abstract

Propagation of light in a square-lattice hollow-core photonic crystal fibre is analysed as a model of guidance in a class of photonic crystal fibres that exhibit broad-band guidance without photonic bandgaps. A scalar governing equation is used and analytic solutions based on transfer matrices are developed for the full set of modes. It is found that an exponentially localised fundamental mode exists for a wide range of frequencies. These analytic solutions of an idealised structure will form the basis for analysis of guidance in a realistic structure in a following paper.

© 2011 OSA

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

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: January 27, 2011
Manuscript Accepted: March 9, 2011
Published: March 25, 2011

Citation
Lei Chen, Greg J. Pearce, Timothy A. Birks, and David M. Bird, "Guidance in Kagome-like photonic crystal fibres I: analysis of an ideal fibre structure," Opt. Express 19, 6945-6956 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-7-6945


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References

  1. R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. S. J. Russell, P. J. Roberts, and D. C. Allan, “Single-Mode Photonic Band Gap Guidance of Light in Air,” Science 285, 1537–1539 (1999). [CrossRef] [PubMed]
  2. P. Roberts, F. Couny, H. Sabert, B. Mangan, D. Williams, L. Farr, M. Mason, A. Tomlinson, T. Birks, J. Knight, and P. S. J. Russell, “Ultimate low loss of hollow-core photonic crystal fibres,” Opt. Express 13, 236–244 (2005). [CrossRef] [PubMed]
  3. D. G. Ouzounov, F. R. Ahmad, D. Mller, N. Venkataraman, M. T. Gallagher, M. G. Thomas, J. Silcox, K. W. Koch, and A. L. Gaeta, “Generation of Megawatt Optical Solitons in Hollow-Core Photonic Band-Gap Fibers,” Science 301, 1702–1704 (2003). [CrossRef] [PubMed]
  4. A. R. Bhagwat and A. L. Gaeta, “Nonlinear optics in hollow-core photonic bandgap fibers,” Opt. Express 16, 5035–5047 (2008). [CrossRef] [PubMed]
  5. F. Couny, F. Benabid, and P. S. Light, “Large-pitch kagome-structured hollow-core photonic crystal fiber,” Opt. Lett. 31, 3574–3576 (2006). [CrossRef] [PubMed]
  6. F. Couny, P. J. Roberts, T. A. Birks, and F. Benabid, “Square-lattice large-pitch hollow-core photonic crystal fiber,” Opt. Express 16, 20626–20636 (2008). [CrossRef] [PubMed]
  7. F. Couny, F. Benabid, P. J. Roberts, P. S. Light, and M. G. Raymer, “Generation and Photonic Guidance of Multi-Octave Optical-Frequency Combs,” Science 318, 1118–1121 (2007). [CrossRef] [PubMed]
  8. A. Argyros and J. Pla, “Hollow-core polymer fibres with a kagome lattice: potential for transmission in the infrared,” Opt. Express 15, 7713–7719 (2007). [CrossRef] [PubMed]
  9. G. J. Pearce, G. S. Wiederhecker, C. G. Poulton, S. Burger, and P. S. J. Russell, “Models for guidance in kagome-structured hollow-core photonic crystal fibres,” Opt. Express 15, 12680–12685 (2007). [CrossRef] [PubMed]
  10. S. Février, B. Beaudou, and P. Viale, “Understanding origin of loss in large pitch hollow-core photonic crystal fibers and their design simplification,” Opt. Express 18, 5142–5150 (2010). [CrossRef] [PubMed]
  11. A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983).
  12. S.-J. Im, A. Husakou, and J. Herrmann, “Guiding properties and dispersion control of kagome lattice hollow-core photonic crystal fibers,” Opt. Express 17, 13050–13058 (2009). [CrossRef] [PubMed]
  13. L. Chen, “Modelling of photonic crystal fibres,” Ph.D. thesis, University of Bath (2009).
  14. L. Chen and D. M. Bird, “Guidance in Kagome-like photonic crystal fibres II: Perturbation theory for a realistic fibre structure,” Submitted to Opt. Express (2011).
  15. T. Birks, D. Bird, T. Hedley, J. Pottage, and P. Russell, “Scaling laws and vector effects in bandgap-guiding fibres,” Opt. Express 12, 69–74 (2004). [CrossRef] [PubMed]
  16. S. Kawakami, “Analytically solvable model of photonic crystal structures and novel phenomena,” J. Lightwave Technol. 20, 1644–1650 (2002). [CrossRef]
  17. A. Kumar, A. N. Kaul, and A. K. Ghatak, “Prediction of coupling length in a rectangular-core directional coupler: an accurate analysis,” Opt. Lett. 10, 86–88 (1985). [CrossRef] [PubMed]
  18. P. S. J. Russell, T. A. Birks, and F. D. Lloyd-Lucas, “Photonic bloch waves and photonic band gaps,” in Confined Electrons and Photons: New Physics and Application , E. Burstein and C. Weisbuch, eds. (Plenum, New York, 1995), pp. 585–633.
  19. G. J. Pearce, T. D. Hedley, and D. M. Bird, “Adaptive curvilinear coordinates in a plane-wave solution of maxwell’s equations in photonic crystals,” Phys. Rev. B 71, 195108 (2005).
  20. G. Pearce, J. Pottage, D. Bird, P. Roberts, J. Knight, and P. Russell, “Hollow-core pcf for guidance in the mid to far infra-red,” Opt. Express 13, 6937–6946 (2005). [CrossRef] [PubMed]
  21. J. Pottage, D. Bird, T. Hedley, J. Knight, T. Birks, P. Russell, and P. Roberts, “Robust photonic band gaps for hollow core guidance in pcf made from high index glass,” Opt. Express 11, 2854–2861 (2003). [CrossRef] [PubMed]
  22. T. A. Birks, G. J. Pearce, and D. M. Bird, “Approximate band structure calculation for photonic bandgap fibres,” Opt. Express 14, 9483–9490 (2006). [CrossRef] [PubMed]
  23. J. M. Stone, G. J. Pearce, F. Luan, T. A. Birks, J. C. Knight, A. K. George, and D. M. Bird, “An improved photonic bandgap fiber based on an array of rings,” Opt. Express 14, 6291–6296 (2006). [CrossRef] [PubMed]
  24. N. M. Litchinitser, A. K. Abeeluck, C. Headley, and B. J. Eggleton, “Antiresonant reflecting photonic crystal optical waveguides,” Opt. Lett. 27, 1592–1594 (2002). [CrossRef]

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