Synthesis of Dispersion-Compensating Triangular Lattice Index-Guiding Photonic Crystal Fibers Using the Directed Tabu Search Method

Authors: F. Karim

Abstract:

In this paper, triangular lattice index-guiding photonic crystal fibers (PCFs) are synthesized to compensate the chromatic dispersion of a single mode fiber (SMF-28) for an 80 km optical link operating at 1.55 µm, by using the directed tabu search algorithm. Hole-to-hole distance, circular air-hole diameter, solid-core diameter, ring number and PCF length parameters are optimized for this purpose. Three Synthesized PCFs with different physical parameters are compared in terms of their objective functions values, residual dispersions and compensation ratios.

Keywords: Triangular lattice index-guiding photonic crystal fiber, dispersion compensation, directed tabu search, synthesis.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1123590

References:

[1] J. Broeng, D. Mogilevstev, S.E. Barkou, and A. Bjarklev, “Photonic crystal fibers: A new class of optical waveguides,” Opt. Fiber Technol. Vol. 5, 1999, pp. 305–330.
[2] T.A. Birks, J.C. Knight, B.J. Mangan, and P.St.J. Russell, “Photonic crystal fibers: An endless variety,” IEICE Trans. Electron. Vol. E84-C, 2001, pp.585–592.
[3] 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. Vol.21, 1996, pp.1547–1549.
[4] T.A. Birks, J.C. Knight, and P.St.J. Russell, “Endlessly single-mode photonic crystal fiber,” Opt. Lett. Vol.22,1997, pp. 961-963.
[5] J.C. Knight, J. Broeng, T.A. Birks, and P.St.J. Russell, “Photonic band gap guidance in optical fiber,” Science, vol. 282 1998, pp.1476–1478.
[6] 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, vol. 285, 1999, pp.1537–1539.
[7] R.R. Musin, A.M. Zheltikov, “Designing dispersion-compensating photonic-crystal fibers using a genetic algorithm,” Optics Communications, vol. 281, 2008, pp. 567–572.
[8] F. Poli, A. Cucinotta, and S. Selleri, Photonic Crystal Fibers: Properties and Applications, The Netherlands: Springer, 2007.
[9] F. Karim and O. Seddiki, “Synthesis of chirped apodized fiber Bragg grating parameters using Direct Tabu Search algorithm: Application to the determination of thermo-optic and thermal expansion coefficients,’’ Optics Communications, vol. 283, 2010, pp. 2109–2116.
[10] F. Karim and O. Seddiki, “Direct tabu search algorithm for the fiber Bragg grating distributed strain sensing,’’ Journal of Optics vol.12, 2010, pp. 095401 (8 pages).
[11] A. Hedar, M. Fukushima, “Tabu Search directed by direct search methods for nonlinear global optimization,’’ European journal of Operational Research, vol. 170, 2006, pp. 329–349.
[12] 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?” Optics Express, vol. 10, 2002, pp. 1285–1290.
[13] N. A. Mortensen, J. R. Folkenberg, M. D. Nielsen, and K. P. Hansen, “Modal cutoff and the V parameter in photonic crystal fibers,” Optics Letters, vol. 28, 2003, pp. 1879–1881.
[14] K. Saitoh and M. Koshiba, ‘’ Chromatic dispersion control in photonic crystal fibers: application to ultra-flattened dispersion,’’ Optics Express. vol. 11, 2003, pp. 843–852.