Abstract
Conventional telecommunication optical waveguide glass fiber is the backbone of the internet revolution. This highly optimized and highly transparent waveguide consists of a higher refractive index core glass inside a lower index clad glass. Light is localized in the core by total internal reflection (TIR) at the core/clad boundary. The transmission distance between amplifiers of today’s fibers, about 80–120 km, is limited in part by the small but nonzero absorption and scattering of the fiber. Longer transmission lengths could be possible by increasing the power at each amplifier, but this is limited by optical nonlinearity of the glass in the fiber.
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References
J. Broeng, S. E. Barkou, T. Sondergaard, and A. Bjarklev, “Analysis of air-guiding photonic bandgap fibers,” Opt. Lett. 25, 96–98 (2000).
R. F. Cregan, B. J. Mangan, J. C. Knight, T. A. Birks, P. St. J. Russell, P. J. Roberts, and D. C. Allan, “Single-mode photonic band gap guidance of light in air,” Science 285, 1537–1539 (1999).
P. Yeh, A. Yariv, and E. Marom, “Theory of Bragg fiber,” J. Opt. Soc. Am. 68, 1196–1201 (1978).
N. J. Doran and K. J. Blow, “Cylindrical Bragg fibers: A design and feasibility study for optical communications,” J. Lightwave Techn. LT-1, 588–590 (1983).
C. M. de Sterke, I. M. Bassett, and A. G. Street, “Differential losses in Bragg fibers,” J. Appl. Phys. 76, 680 (1994).
T. A. Birks, D. M. Atkin, G. Wylangowski, P. St. J. Russell, and P. J. Roberts, in Microcavities and Photonic Bandgaps: Physics and Applications, J. G. Rarity and C. Weisbuch, Eds., Kluwer, Dordrecht, Netherlands (1996), pp. 203–218.
T. A. Birks, P. J. Roberts, P. St. J. Russell, D. M. Atkin, and T. J. Shepherd, “Full 2-D photonic bandgaps in silica/air structures,” El. Lett. 31, 1941–1943 (1995).
J. C. Knight, J. Broeng, T. A. Birks, and P. St. J. Russell, “Photonic band gap guidance in optical fibers,” Science 282, 1476–1478 (1998).
T. A. Birks, D. Mogilevtsev, J. C. Knight, P. St. J. Russell, J. Broeng, P. J. Roberts, J. A. West, D. C. Allan, and J. C. Fajardo, “The analogy between photonic crystal fibres and step index fibres,” in Optical Fiber Communication Conference, OSA Technical Digest, Optical Society of America, Wash. D.C. (1999), pp. 114–116.
J. C. Knight, T. A. Birks, P. St. J. Russell, and D. M. Atkin, “All-silica single-mode optical fiber with photonic crystal cladding,” Opt. Lett. 21, 1547–1549 (1996); 22, 484-485 (1997).
T. A. Birks, J. C. Knight, and P. St. J. Russell, “Endlessly single-mode photonic crystal fiber,” Opt. Lett. 22, 961–963 (1997).
J. C. Knight, T. A. Birks, P. St. J. Russell, and J. P de Sandro, “Properties of photonic crystal fiber and the effective index model,” J. Opt. Soc. Am. A 15, 748–752 (1998).
D. Mogilevtsev, T. A. Birks, and P. St. J. Russell, “Group-velocity dispersion in photonic crystal fibers,” Opt. Lett. 23, 1662–1664 (1998).
M. J. Gander, R. McBride, J. D. C. Jones, D. Mogilevtsev, T. A. Birks, J.C. Knight, and P. St. J. Russell, “Experimental measurement of group velocity dispersion in photonic crystal fiber,” El. Lett. 35, 63–64 (1999).
J. C. Knight, T. A. Birks, R. F. Cregan, P. St. J. Russell, and J.-P. de Sandro, “Large mode area photonic crystal fibre,” El. Lett. 34, 965–966 (1998).
J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light, Princeton University Press, Princeton, NJ(1995).
Steven G. Johnson and J. D. Joannopoulos, The MIT photonic-bands package, http://ab-initio.mit.edu/mpb.
Alex Gaeta, School of Applied and Engineering Physics, Cornell University, private communication.
The inclusion of interstitial air holes into the triangular lattice has been suggested to increase gap bandwidths (see J. Broeng, S. E. Barkou, A. Bjarklev, J. C. Knight, T. A. Birks, and P. St. J Russell, “Highly increased photonic band gaps in silica/air structures,” Opt. Comm. 156, 240 (1998)). However, for the optimized parameter range discussed here, this modification does not result in improved perform
S. E. Barkou, J. Broeng, and A. Bjarklev, “Silica-air photonic crystal fiber design that permits waveguiding by a true photonic bandgap effect,” Opt. Lett. 24, 1, 46–48 (1999).
N. S. Kapany and J. J. Burke, Optical Waveguides, Academic Press, Inc., NY(1972).
J. K. Ranka, R. S. Windeier, A. J Stentz, “Visible continuum generation in air-silica microstructure optical fibers with anomalous dispersion at 800 run,” Opt. Lett. 25, 25–27 (2000).
P. J. Bennett, T. M. Monroe and D. J. Richardson, “Toward Practical holey fiber technology: Fabrication, splicing, modeling and characterization,” Opt. Lett. 24, 1203–1205 (1999).
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Allan, D.C., West, J.A., Fajardo, J.C., Gallagher, M.T., Koch, K.W., Borrelli, N.F. (2001). Photonic Crystal Fibers: Effective-Index and Band-Gap Guidance. In: Soukoulis, C.M. (eds) Photonic Crystals and Light Localization in the 21st Century. NATO Science Series, vol 563. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0738-2_22
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DOI: https://doi.org/10.1007/978-94-010-0738-2_22
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