We consider mode coupling in multimode optical fibers using either two Bragg gratings or a Bragg grating and a long-period grating. We show that the magnitude of the band edge curvature can be controlled leading to a flat, quartic band-edge or to two band edges at distinct, nonequivalent k-values, allowing precise control of slow light propagation.

© 2007 Optical Society of America

1. J. T. Mok, C. M. de Sterke, I. C. M. Littler, and B. J. Eggleton, "Dispersionless slow light using gap solitons," Nature Physics 2,775-780 (2006). [CrossRef]
2. X. Letartre, C. Seassal, C. Grillet, P. Rojo Romeo, P. Viktorovitch, M. L. d’Yerville, D. Cassagne, and C. Jouanin, "Group velocity and propagation losses measurement in a singleline photonic-crystal waveguide on InP membranes," Appl. Phys. Lett. 79,2312-2314 (2001). [CrossRef]
3. A. Figotin and I. Vitebskiy, "Gigantic transmission band-edge resonance in periodic stacks of anisotropic layers," Phys. Rev. E 72,036619-12 (2005). [CrossRef]
4. M. Ibanescu, S. G. Johnson, D. Roundy, C. Luo, Y. Fink, and J. D. Joannopoulos, "Anomalous dispersion relations by symmetry breaking in axially uniform waveguides," Phys. Rev. Lett. 92,063903-4 (2004). [CrossRef] [PubMed]
5. M. Ibanescu, S. G. Johnson, D. Roundy, Y. Fink, and J. D. Joannopoulos, "Microcavity confinement based on an anomalous zero group-velocity waveguide mode," Opt. Lett. 30,552-554 (2005). [CrossRef] [PubMed]
6. Y. Cao, R. Hudgins, T. J. Suleski, M. A. Fiddy, J. Raquet, K. Burbank, M. Graham, and P. Sanger, "1-D Photonic Crystal Exhibiting Degenerate Band Edge to Slow Light," In Slow and Fast Light Technical Digest, p. ME16 (Optical Society of America, Washington DC, 2006).
7. A. Yu. Petrov and M. Eich, "Zero dispersion at small group velocities in photonic crystal waveguides," Appl. Phys. Lett. 85,4866-4868 (2004). [CrossRef]
8. D. Mori and T. Baba, "Wideband and low dispersion slow light by chirped photonic crystal coupled waveguide," Opt. Express 13,9398-9408 (2005), http://www.opticsinfobase.org/abstract.cfm?URI=oe-13-23-9398. [CrossRef] [PubMed]
9. J. U. Kang, X. B. Xie, and J. Khurgin, "Group velocity modified Ti-diffused LiNbO3 waveguides with dual Bragg gratings," Electron. Lett. 38,1049-1051 (2002). [CrossRef]
10. T. Erdogan and J. E. Sipe, "Tilted fiber phase gratings," J. Opt. Soc. Am. A 13,296-313 (1996). [CrossRef]
11. S. K. Case, "Coupled-wave theory for multiply exposed thick holographic gratings," J. Opt. Soc. Am. 65,724-729 (1975). [CrossRef]
12. V. Mizrahi and J. E. Sipe, "Optical-properties of photosensitive fiber phase gratings," J. Lightwave Technol. 11,1513-1517 (1993). [CrossRef]
13. A. Yariv, "Frustration of Bragg reflection by cooperative dual-mode interference: a new mode of optical propagation," Opt. Lett. 23,1835-1836 (1998). [CrossRef]
14. K. S. Lee and T. Erdogan, "Fiber mode conversion with tilted gratings in an optical fiber," J. Opt. Soc. Am. A 18,1176-1185 (2001). [CrossRef]
15. R. J. P. Engelen, Y. Sugimoto, Y. Watanabe, J. P. Korterik, N. Ikeda, N. F. Hulst, van, K. Asakawa, and L. Kuipers, "The effect of higher-order dispersion on slow light propagation in photonic crystal waveguides," Opt. Express 14,1658-1672 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-4-1658. [CrossRef] [PubMed]

Appl. Phys. Lett.

• X. Letartre, C. Seassal, C. Grillet, P. Rojo Romeo, P. Viktorovitch, M. L. d’Yerville, D. Cassagne, and C. Jouanin, "Group velocity and propagation losses measurement in a singleline photonic-crystal waveguide on InP membranes," Appl. Phys. Lett. 79,2312-2314 (2001). [CrossRef]
• A. Yu. Petrov and M. Eich, "Zero dispersion at small group velocities in photonic crystal waveguides," Appl. Phys. Lett. 85,4866-4868 (2004). [CrossRef]

Electron. Lett.

• J. U. Kang, X. B. Xie, and J. Khurgin, "Group velocity modified Ti-diffused LiNbO3 waveguides with dual Bragg gratings," Electron. Lett. 38,1049-1051 (2002). [CrossRef]

J. Lightwave Technol.

• V. Mizrahi and J. E. Sipe, "Optical-properties of photosensitive fiber phase gratings," J. Lightwave Technol. 11,1513-1517 (1993). [CrossRef]

J. Opt. Soc. Am.

• S. K. Case, "Coupled-wave theory for multiply exposed thick holographic gratings," J. Opt. Soc. Am. 65,724-729 (1975). [CrossRef]

J. Opt. Soc. Am. A

• K. S. Lee and T. Erdogan, "Fiber mode conversion with tilted gratings in an optical fiber," J. Opt. Soc. Am. A 18,1176-1185 (2001). [CrossRef]
• T. Erdogan and J. E. Sipe, "Tilted fiber phase gratings," J. Opt. Soc. Am. A 13,296-313 (1996). [CrossRef]

Nature Physics

• J. T. Mok, C. M. de Sterke, I. C. M. Littler, and B. J. Eggleton, "Dispersionless slow light using gap solitons," Nature Physics 2,775-780 (2006). [CrossRef]

Opt. Express

• R. J. P. Engelen, Y. Sugimoto, Y. Watanabe, J. P. Korterik, N. Ikeda, N. F. Hulst, van, K. Asakawa, and L. Kuipers, "The effect of higher-order dispersion on slow light propagation in photonic crystal waveguides," Opt. Express 14,1658-1672 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-4-1658. [CrossRef] [PubMed]
• D. Mori and T. Baba, "Wideband and low dispersion slow light by chirped photonic crystal coupled waveguide," Opt. Express 13,9398-9408 (2005), http://www.opticsinfobase.org/abstract.cfm?URI=oe-13-23-9398. [CrossRef] [PubMed]

Opt. Lett.

• M. Ibanescu, S. G. Johnson, D. Roundy, Y. Fink, and J. D. Joannopoulos, "Microcavity confinement based on an anomalous zero group-velocity waveguide mode," Opt. Lett. 30,552-554 (2005). [CrossRef] [PubMed]
• A. Yariv, "Frustration of Bragg reflection by cooperative dual-mode interference: a new mode of optical propagation," Opt. Lett. 23,1835-1836 (1998). [CrossRef]

Phys. Rev. E

• A. Figotin and I. Vitebskiy, "Gigantic transmission band-edge resonance in periodic stacks of anisotropic layers," Phys. Rev. E 72,036619-12 (2005). [CrossRef]

Phys. Rev. Lett.

• M. Ibanescu, S. G. Johnson, D. Roundy, C. Luo, Y. Fink, and J. D. Joannopoulos, "Anomalous dispersion relations by symmetry breaking in axially uniform waveguides," Phys. Rev. Lett. 92,063903-4 (2004). [CrossRef] [PubMed]

Other

• Y. Cao, R. Hudgins, T. J. Suleski, M. A. Fiddy, J. Raquet, K. Burbank, M. Graham, and P. Sanger, "1-D Photonic Crystal Exhibiting Degenerate Band Edge to Slow Light," In Slow and Fast Light Technical Digest, p. ME16 (Optical Society of America, Washington DC, 2006).

Click here to see a list of articles that cite this paper

Related Journal Articles

• Coupled-local-mode theory and study of optical properties of a Gaussian fiber grating (JOSAA)
• Frustration of Bragg reflection by cooperative dual-mode interference: a new mode of optical propagation (OL)
• Dual on-fiber thin-film heaters for fiber gratings with independently adjustable chirp and wavelength (OL)
• Novel designs for sampled grating-based multiplexers demultiplexers (OL)
• Superchirped moiré grating based on an acousto-optic superlattice with a chirped fiber Bragg grating (OL)

Related Conference Papers

• Dispersion measurement of chirped fiber Bragg gratings using loop mirror configuration
• Radiation Mode Analysis of Tilted Fiber Gratings
• Effect of grating imperfections on devices based on tilted fiber gratings
• Optical fiber polarizer based on locally pressed Bragg gratings
• Multisolitons in dispersion management with fibre Bragg gratings
• Multisolitons in dispersion management with fibre Bragg gratings