Vector description of higher-order modes in photonic crystal fibers

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 17, Issue 7, 2000, Pages 1333-1340

  Ferrando, Albert ^a   Silvestre, Enrique ^a   Miret, Juan José ^a   Andrés, Pedro ^a   Andrés, Miguel V ^a  

^a UNIVERSITY OF VALENCIA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; CRYSTAL STRUCTURE; EIGENVALUES AND EIGENFUNCTIONS; ELECTROMAGNETIC DISPERSION; LIGHT POLARIZATION; LIGHT PROPAGATION; MODAL ANALYSIS; PHOTONS; VECTORS;

PHOTONIC CRYSTALS (PC);

FIBER OPTICS;

EID: 0001312837     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.17.001333     Document Type: Article

References (26)

1. P. St. 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 Applications, E. Burstein and C. Weisbuch, eds. (Plenum, New York, 1995).
2. 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); erratum, 22, 484 (1997).
3. S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486-2489 (1987).
4. E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, “Donor and acceptor modes in photonic band structures,” Phys. Rev. Lett. 67, 3380-3383 (1991).
5. T. M. Monro, D. J. Richardson, N. G. R. Broderick, and P. J. Bennett, “Holey fibers: An efficient modal model,” J. Lightwave Technol. 17, 1093-1102 (1999).
6. 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).
7. 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. Commun. 156, 240-244 (1998)
8. J. Broeng, D. Mogilevstev, S. E. Barkou, and A. Bjarklev, “Photonic crystal fibers: A new class of optical waveguides,” Opt. Fiber Technol. Mater. Devices Syst. 5, 305-330 (1999).
9. J. N. Winn, R. D. Meade, and J. D. Joannopoulos, “Two-dimensional photonic band-gap materials,” J. Mod. Opt. 41, 257-273 (1994).
10. A. Mekkis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “High transmission through sharp bends in photonic crystal waveguides,” Phys. Rev. Lett. 77, 3787-3790 (1996).
11. T. A. Birks, J. C. Knight, and P. St. J. Russell, “Endlessly single-mode photonic crystal fiber,” Opt. Lett. 22, 961-963 (1997).
12. E. Silvestre, P. St. J. Russell, T. A. Birks, and J. C. Knight, “Analysis and design of an endlessly single-mode finned di-electric waveguide,” J. Opt. Soc. Am. A 15, 3067-3075 (1998).
13. A. Ferrando, E. Silvestre, J. J. Miret, P. Andres, and M. V. Andres, “Full-vector analysis of a realistic photonic crystal fiber,” Opt. Lett. 24, 276-278 (1999).
14. D. Mogilevtsev, T. A. Birks, and P. St. J. Russell, “Group-velocity dispersion in photonic crystal fibers,” Opt. Lett. 23, 1662-1663 (1998).
15. A. Ferrando, E. Silvestre, J. J. Miret, J. A. Monsoriu, M. V. Andres, and P. St. J. Russell, “Designing a photonic crystal fibre with flattened chromatic dispersion,” Electron. Lett. 35, 325-326 (1999).
16. J. C. Knight, T. A. Birks, R. F. Cregan, P. St. J. Russell, and J. P. de Sandro, “Large mode area photonic crystal fibre,” Electron. Lett. 34, 1347-1348 (1998).
17. E. Silvestre, M. V. Andres, and P. Andrés, “Biorthonormal-basis method for the vector description of optical-fiber modes,” J. Lightwave Technol. 16, 923-928 (1998).
18. N. W. Ashcroft and N. D. Mermin, Solid State Physics (Saunders College Publishing, Harcourt Brace College Publishers, Fort Worth, Tex., 1976), pp. 135-136.
19. M. Creutz, Quarks, Gluons and Lattices (Cambridge U. Press, Cambridge, UK, 1985), pp. 10, 14.
20. R. P. Feynman, Statistical Mechanics (Addison-Wesley, Reading, Mass., 1972), pp. 76-960.
21. J. I. Kapusta, Finite-Temperature Field Theory (Cambridge U. Press, Cambridge, UK, 1989), pp. 9-16.
22. A. Ferrando and A. Jaramillo, “Two dimensional quantum chromodynamics as the limit of higher dimensional theories,” Phys. Lett. B 341, 342-348 (1995)
23. 3,” Nucl. Phys. B 457, 57-77 (1995).
24. R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopo-ulos, and O. L. Alerhand, “Accurate theoretical analysis of photonic band-gap materials,” Phys. Rev. B 48, 8434-8437 (1993).
25. A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983), pp. 595-606.
26. 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).