Approximate band structure calculation for photonic bandgap fibres

Optics Express

Volumn 14, Issue 20, 2006, Pages 9483-9490

  Birks, T A ^a   Pearce, G J ^a   Bird, D M ^a  

^a Centre for Photonics and Photonic Materials Department of Physics University of Bath ^*  (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; MATHEMATICAL MODELS; NUMERICAL METHODS; OPTICAL FIBERS;

BAND PLOTS; BANDGAP FIBRES; CIRCULAR UNIT CELL; HIGH INDEX ROD;

BAND STRUCTURE;

EID: 33749421720     PISSN: 10944087     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.14.009483     Document Type: Article

References (18)

1. R. T. Bise, R. S. Windeler, K. S. Kranz, C. Kerbage, B. J. Eggleton, D. J. Trevor, "Tunable photonic band gap fiber," in Proceedings of the Optical Fiber Communications Conference (2002), 466-468.
2. F. Luan, A. K. George, T. D. Hedley, G. J. Pearce, D. M. Bird, J. C. Knight, P. St.J. Russell, "All-solid photonic band gap fiber," Opt. Lett. 29, 2369-2371 (2004).
3. A. Argyros, T. A. Birks, S. G. Leon-Saval, C. M. B. Cordeiro, F. Luan, P. St.J. Russell, "Photonic bandgap with an index step of one percent," Opt. Express 13, 309-314 (2005), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-1-309.
4. G. Bouwmans, L. Bigot, Y. Quiquempois, F. Lopez, L. Provino, M. Douay, "Fabrication and characterization of an all-solid 2D photonic bandgap fiber with a low-loss region (< 20 dB/km) around 1550 nm," Opt. Express 13, 8452-8459 (2005), http://www.opticsinfobase.org/abstract.cfm?URI=oe-13-21-8452.
5. T. A. Birks, F. Luan, G. J. Pearce, A. Wang, J. C. Knight, D. M. Bird, "Bend loss in all-solid bandgap fibres," Opt. Express 14, 5688-5698 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-12-5688.
6. J. M. Stone, G. J. Pearce, F. Luan, T. A. Birks, J. C. Knight, A. K. George, D. M. Bird, "An improved photonic bandgap fiber based on an array of rings," Opt. Express 14, 6291-6296 (2006), http://www.opticsinfobaae.org/abstract.cfm?URI=oe-14-13-6291.
7. A. Wang, A. K. George, J. C. Knight, "Three-level neodymium fiber laser incorporating photonic bandgap fiber," Opt. Lett. 31, 1388-1390 (2006).
8. C. K. Nielsen, K. G. Jespersen, S. R. Keiding, "A 158 fs 5.3 nJ fiber-laser system at 1 μm using photonic bandgap fibers for dispersion control and pulse compression," Opt. Express 14, 6063-6068 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-13-6063.
9. T. P. White, R. C. McPhedran, C. M. de Sterke, N. M. Litchinitser, B. J. Eggleton, "Resonance and scattering in microstructured optical fibers," Opt. Lett. 27, 1977-1979 (2002).
10. N. M. Litchinitser, S. C. Dunn, B. Usner, B. J. Eggleton, T. P. White, R. C. McPhedran, C. M. de Sterke, "Resonances in microstructured optical waveguides," Opt. Express 11, 1243-1251 (2003) http://www.opticsinfobase.org/abstract.cfm?URI=oe-11-10-1243.
11. J. Lægsgaard, "Gap formation and guided modes in photonic band gap fibres with high-index rods," J. Opt. A: Pure Appl. Opt. 6, 798-804 (2004).
12. A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman and Hall, 1983).
13. S. L. Altmann, Band Theory of Solids: An Introduction from the Point of View of Symmetry (Clarendon Press, 1994).
14. P. W. Atkins, Molecular Quantum Mechanics (Oxford University Press, 1983).
15. T. A. Birks, J. C. Knight, P. St.J. Russell, "Endlessly single-mode photonic crystal fiber," Opt. Lett. 22, 961-963 (1997).
16. sections I and II of G. J. Pearce, T. D. Hedley, D. M. Bird, "Adaptive curvilinear coordinates in a planewave solution of Maxwell's equations in photonic crystals," Phys. Rev. B 71, 195108 (2005).
17. T. A. Birks, D. M. Bird, T. D. Hedley, J. M. Pottage, P. St. Russell, "Scaling laws and vector effects in bandgap-guiding fibres," Opt. Express 12, 69-74 (2004), http://www.opticsinfobase.org/abstract.cfm?URI=oe-12-1-69.
18. T. A. Birks, Y. W. Li, C. D. Hussey, "Waveguides with delta function layers," Opt. Commun. 83, 203-209 (1991).