Finite element characterization of chromatic dispersion in nonlinear holey fibers

Optics Express

Volumn 11, Issue 13, 2003, Pages 1481-1489

  Fujisawa, Takeshi ^a   Koshiba, Masanori ^a  

^a HOKKAIDO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTALS; FINITE ELEMENT METHOD; OPTICAL FIBERS; OPTICAL KERR EFFECT; PHOTONS; REFRACTIVE INDEX; VECTORS;

CHROMATIC DISPERSIONS; HOLEY FIBERS; KERR EFFECT; NODAL ELEMENTS;

NONLINEAR OPTICS;

EID: 2942709690     PISSN: 10944087     EISSN: None     Source Type: Journal    
DOI: 10.1364/OE.11.001481     Document Type: Article

References (30)

1. K. Okamoto and E.A.J. Marcatili, "Chromatic dispersion characteristics of fibers with optical Kerr-effect," J. Lightwave Technol. 7, 1988-1994 (1989).
2. R.A. Sammut and C. Pask, "Group velocity and dispersion in nonlinear-optical fibers," Opt. Lett. 16, 70-72 (1991).
3. H.Y. Lin and H.-C. Chang, "An efficient method for determining the chromatic dispersion characteristics of nonlinear single-mode optical fibers," J. Lightwave Technol. 10, 1188-1195 (1992).
4. 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).
5. T.A. Birks, J.C. Knight, and P.St.J. Russell, "Endlessly single-mode photonic crystal fiber," Opt. Lett. 22, 961-963 (1997).
6. J.C. Knight, T.A. Birks, R.F. Cregan, P.St.J. Russell, and J.-P. de Sandro, "Large mode area photonic crystal fiber," Electron. Lett. 34, 1347-1348 (1998).
7. N.G.R. Broderick, T.M. Monro, P.J. Bennett, and D.J. Richardson, "Nonlinearity in holey optical fibers: measurement and future opportunities," Opt. Lett. 24, 1395-1397 (1999).
8. 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 in photonic crystal fiber," Electron. Lett. 35, 63-64 (1999).
9. M.J. Gander, R. MCBride, J.D.C. Jones, T.A. Birks, J.C. Knight, P.St.J. Russell, P.M. Blanchard, J.G. Burnett, and A.H. Greenaway, "Measurement of the wavelength dependence of beam divergence for photonic crystal fiber," Opt. Lett. 24, 1017-1019 (1999).
10. W.J. Wadsworth, J.C. Knight, A. Ortigosa-Blanch, J. Arriaga, E. Silvestre, and P.St.J. Russell, "Soliton effects in photonic crystal fibres at 850 nm," Electron. Lett. 36, 53-55 (2000).
11. W.J. Wadsworth, A. Ortigosa-Blanch, J.C. Knight, T.A. Birks, T.-P. Martin Man, and P.St.J. Russell, "Supercontinuum generation in photonic crystal fibers and optical fiber tapers: a novel light source," J. Opt. Soc. Am. B 19, 2148-2155 (2002).
12. A. W. Snyder, Y. Chen, L. Poladian, and D.J. Mitchell, "Fundamental mode of highly nonlinear fibers," Electron. Lett. 26, 643-644 (1990).
13. R.A. Sammut and C. Pask, "Variational approach to nonlinear waveguides-gaussian approximations," Electron. Lett. 26, 1131-1132 (1990).
14. R.A. Sammut and C. Pask, "Gaussian and equivalent-step-index approximations for nonlinear waveguides," J. Opt. Soc. Am. B 8, 395-402 (1991).
15. Y. Chen, "Nonlinear fibers with arbitrary nonlinearity," J. Opt. Soc. Am. B 8, 2338-2341 (1991).
16. M.J. Holmes, D.M. Spirit, and F.P. Payne, "New gaussian-based approximation for modeling non-linear effects in optical fibers," J. Lightwave Technol. 12, 193-201 (1994).
17. F. Brechet, J. Marcou, D. Pagnoux, and P. Roy, "Complete analysis of the characteristics of propagation into photonic crystal fibers," Opt. Fiber Technol. 6, 181- (2000).
18. M. Koshiba and K. Saitoh, "Numerical verification of degeneracy in hexagonal photonic crystal fibers," IEEE Photon. Technol. Lett. 13, 1313-1315 (2001).
19. M. Koshiba, "Full-vector analysis of photonic crystal fibers using the finite element method," IEICE Trans. Electron. E85-C, 881-888 (2002).
20. K. Saitoh and M. Koshiba, "Full-vectorial imaginary-distance beam propagation method based on a finite element scheme: application to photonic crystal fibers," IEEE J. Quantum Electron. 38, 927-933 (2002).
21. A. Cucinotta, S. Selleri, L. Vincetti, and M. Zoboli, "Holey fiber analysis through the finite element method," IEEE Photon. Technol. Lett. 14, 1530-1532 (2002).
22. K. Hayata and M. Koshiba, "Full vectorial analysis of nonlinear-optical waveguides," J. Opt. Soc. Am. B 5, 2494-2501 (1988).
23. R.D. Ettinger, F.A. Fernandez, B.M.A. Rahman, and J.B. Davies, "Vector finite element solution of saturable nonlinear strip-loaded optical waveguides," IEEE Photon. Technol. Lett. 3, 147-149 (1991).
24. X.H. Wang and G.K. Cambrell, "Full vectorial simulation of bistability phenomena in nonlinear-optical channel waveguides," J. Opt. Soc. Am. B 10, 1090-1095 (1993).
25. X.H. Wang and G.K. Cambrell, "Simulation of strong nonlinear effects in optical waveguides," J. Opt. Soc. Am. B 10, 2048-2055 (1993).
26. S. Selleri and M. Zoboli, "An improved finite element method formulation for the analysis of nonlinear anisotropic dielectric waveguides," IEEE Trans. Micorwave Theory Tech. 43, 887-892 (1995).
27. M. Zoboli, F.Di Pasquale, and S. Sellen, "Full-vectorial and scalar solutions of nonlinear optical fibers," Opt. Comuun. 97, 11-15 (1993).
28. X.H. Wang and G.K. Cambrell, "Vectorial simulation and power-parameter characterization of nonlinear planar optical waveguides," J. Opt. Soc. Am. B 12, 265-274 (1995).
29. S.S.A. Obayya, B.M.A. Rahman, K.T.V. Grattan, and H.A. El-Mikati, "Full-vectorial finite-element solution of nonlinear bistable optical waveguides," IEEE J. Quantum Electron. 38, 1120-1125 (2002).
30. M. Koshiba and Y. Tsuji, "Curvilinear hybrid edge/nodal elements with triangular shape for guided-wave problems," J. Lightwave Technol. 18, 737-743 (2000).