Modelling of microstructured waveguides using a finite-element-based vectorial mode solver with transparent boundary conditions

Optics Express

Volumn 12, Issue 12, 2004, Pages 2795-2809

  Uranus, H P ^a   Hoekstra, H J W M ^a  

^a UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CRYSTALS; DISPERSION (WAVES); FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; OPTICAL WAVEGUIDES; PHOTONS; POLARIZATION; REFRACTIVE INDEX; VELOCITY CONTROL;

AIR-CORE STRUCTURES; BEAM PROPAGATION METHODS (BPM); BRAGG FIBERS; COMPUTATIONAL DOMAINS;

MICROSTRUCTURE;

EID: 4644237397     PISSN: 10944087     EISSN: None     Source Type: Journal    
DOI: 10.1364/OPEX.12.002795     Document Type: Article

References (31)

1. J.C. Knight, T.A. Birks, P.S.J. Russell, and D.M. Atkin, "All-silica single-mode optical fiber with photonic crystal cladding," Opt. Lett. 21, 1547-1549 (1996).
2. P. Russell, "Photonic Crystal Fibers," Science 299, 358-362 (2003).
3. Y. Fink, D.J. Ripin, S. Fan, C. Chen, J.D. Joannopoulos, and E.L. Thomas, "Guiding optical light in air using an all-dielectric structure," J. Lightwave Technol. 17, 2039-2041 (1999).
4. A. Ferrando, E. Silvestre, J.J. Miret, and P. Andres, "Nearly zero ultraflattened dispersion in photonic crystal fibers," Opt. Lett. 25, 790-792 (2000).
5. J.C. Knight, J. Arriaga, T.A. Birks, A. Ortigosa-Blanch, W.J. Wadsworth, and P.S.J. Russell, "Anomalous dispersion in photonic crystal fiber," Photonics Technol. Lett. 12, 807-809 (2000).
6. T.P. White, R.C. McPhedran, C.M. de Sterke, L.C. Botten, and M.J. Steel, "Confinement losses in microstructured optical fibers," Opt. Lett. 26, 1660-1662 (2001).
7. T.A. Birks, J.C. Knight, and P.S.J. Russell, "Endlessly single-mode photonic crystal fiber," Opt. Lett. 22, 961-963 (1997).
8. S.G. Johnson, M. Ibanescu, M. Skorobogatiy, O. Weisberg, T.D. Engeness, M. Soljacic, S.A. Jacobs, J.D. Joannopoulos, and Y. Fink, "Low-loss asymptotically single-mode propagation in large-core OmniGuide fibers," Opt. Express 9, 748-779 (2001), http://www.opticsexpress.org/abstract.cfm?URI= OPEX-9-13-748.
9. I.M. Basset and A. Argyros, "Elimination of polarization degeneracy in round waveguides," Opt. Express 10, 1342-1346 (2002), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-23-1342.
10. A. Argyros, N. Issa, I. Basset, and M. van Eijkelenborg, "Microstructured optical fiber for single-polarization air guidance," Opt. Lett. 29, 20-22 (2004).
11. A. Ferrando, E. Solvestre, J.J. Miret, P. Andres, M.V. Andres, "Full-vector analysis of a realistic photonic crystal fiber," Opt. Lett. 24, 276-278 (1999).
12. W. Zhi, R. Guobin, L. Shuqin, and J. Shuisheng, "Supercell lattice method for photonic crystal fibers," Opt. Express 11, 980-991 (2003), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-9-980.
13. T.P. White, B.T. Kuhlmey, R.C. McPhedran, D. Maystre, R. Renversez, C.M. de Sterke, and L.C. Botten, "Multipole method for microstructured optical fibers. I. Formulation," J. Opt. Soc. Am B 19, 2322-2330 (2002).
14. N.A. Issa and L. Poladian, "Vector wave expansion method for leaky modes of microstructured optical fibers," J. Lightwave Technol. 21, 1005-1012 (2003).
15. F. Fogli, L. Saccomandi, P. Bassi, G. Bellanca, and S. Trillo, "Full vectorial BPM modeling of index-guiding photonic crystal fibers and couplers," Opt. Express 10, 54-59 (2002), http://www.opticsexpress.org/ab. stract.cfm?URI=QPEX-10-1-54.
16. K. Saitoh and M. Koshiba, "Full-vectorial imaginary-distance beam propagation method based on a finite element scheme: application to photonic crystal fibers," J. Quantum Electron. 38, 927-933 (2002).
17. C.P. Yu and H.C. Chang, "Applications of the finite difference mode solution method to photonic crystal structures," Opt. Quantum Electron. 36, 145-163 (2004).
18. F. Brechet, J. Marcou, D. Pagnoux, and P. Roy, "Complete analysis of the characteristics of propagation into photonic crystal fibers by finite element method," Optical Fiber Technol. 6, 181-191 (2000).
19. Cucinotta, S. Selleri, L. Vincetti, and M. Zoboli, "Holey fiber analysis through the finite element method," Photonics Tech. Lett. 14, 1530-1532 (2002).
20. M. Koshiba, "Full-vector analysis of photonic crystal fibers using the finite element method," IEICE Trans. Electron. E85-C, 881-888 (2002).
21. D. Ferrarini, L. Vincetti, M. Zoboli, A. Cucinotta, S. Selleri, "Leakage properties of photonic crystal fibers," Opt. Express 10, 1314-1319 (2002), http://www.opticsexpress.org/abstract.cfm?URI=QPEX-10-23-1314.
22. K. Saitoh and M. Koshiba, "Leakage loss and group velocity dispersion in air-core photonic bandgap fibers," Opt. Express 11, 3100-3109 (2003), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-23-3100
23. H.P. Uranus, H.J.W.M. Hoekstra, and E. van Groesen, "Galerkin finite element scheme with Bayliss-Gunzburger-Turkel-like boundary conditions for vectorial optical mode solver," J. Nonlinear Optical Phys. Materials (to be published).
24. A. Bayliss, M. Gunzburger, and E. Turkel, "Boundary conditions for the numerical solution of elliptic equations in exterior regions," SIAM J. Appl. Math. 42, 430-451 (1982).
25. H.E. Hernandez-Figueroa, F.A. Fernandez, Y. Lu, and J.B. Davies, "Vectorial finite element modeling of 2D leaky waveguides," Trans. Magnetics 31, 1710-1713 (1995).
26. R. Guobin, W. Zhi, L. Shuqin, and J. Shuisheng, "Mode classification and degeneracy in photonic crystal fibers," Opt. Express 11, 1310-1321 (2003), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-11-1310.
27. M. Koshiba and K. Saitoh, "Numerical verification of degeneracy in hexagonal photonic crystal fibers," Photonics Technol. Lett. 13, 1313-1315 (2001).
28. I.H. Malitson, "Interspecimen comparison of the refractive index of fused silica," J. Opt. Soc. Am. 55, 1205-1209 (1965).
29. L. Poladian, N.A. Issa, and T.M. Monro, "Fourier decomposition algorithm for leaky modes of fibres with arbitrary geometry," Opt. Express 10, 449-454 (2002), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-10- 449.
30. 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, 50-56 (2000).
31. G. Vienne, Y. Xu, C. Jakobsen, H.J. Deyerl, T.P. Hansen, B.H. Larsen, J.B. Jensen, T. Sorensen, M. Terrel, Y. Huang, R. Lee, N.A. Mortensen, J. Broeng, H. Simonsen, A. Bjarklev, and A. Yariv, "First demonstration of air-silica Bragg fiber," Post Deadline Paper PDP25, Optical Fiber Conference 2004, Los Angeles, 22-27 Feb. 2004.