OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 10 — May. 12, 2008
  • pp: 7551–7563

Multi-order dispersion engineering for optimal four-wave mixing

Michael R.E. Lamont , Boris T. Kuhlmey , and C. Martijn de Sterke  »View Author Affiliations


Optics Express, Vol. 16, Issue 10, pp. 7551-7563 (2008)
http://dx.doi.org/10.1364/OE.16.007551


View Full Text Article

Enhanced HTML    Acrobat PDF (428 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Four-wave mixing in high refractive index materials, such as chalcogenide glass or semiconductors, is promising because of their large cubic nonlinearity. However, these materials tend to have normal dispersion at telecom wavelengths, preventing phase matched operation. Recent work has shown that the waveguide dispersion in strongly confining guided-wave structures can lead to anomalous dispersion, but the resulting four-wave mixing has limited bandwidth because of negative quartic dispersion. Here we first show that the negative quartic dispersion is an inevitable consequence of this dispersion engineering procedure. However, we also demonstrate that a slight change in the procedure leads to positive quartic dispersion, resulting in a superior bandwidth. We give an example in which the four-wave mixing bandwidth is doubled in this way.

© 2008 Optical Society of America

OCIS Codes
(130.4310) Integrated optics : Nonlinear
(190.4380) Nonlinear optics : Nonlinear optics, four-wave mixing
(230.7370) Optical devices : Waveguides

ToC Category:
Nonlinear Optics

History
Original Manuscript: March 14, 2008
Revised Manuscript: April 24, 2008
Manuscript Accepted: April 28, 2008
Published: May 9, 2008

Citation
Michael R. Lamont, Boris T. Kuhlmey, and C. Martijn de Sterke, "Multi-order dispersion engineering for optimal four-wave mixing," Opt. Express 16, 7551-7563 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-10-7551


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. Q. Lin, J. D. Zhang, P. M. Fauchet, and G. P. Agrawal, "Ultrabroadband parametric generation and wavelength conversion in silicon waveguides," Opt. Express 14, 4786-4799 (2006). [CrossRef] [PubMed]
  2. A. C. Turner, C. Manolatou, B. S. Schmidt, M. Lipson, M. A. Foster, J. E. Sharping, and A. L. Gaeta, "Tailored anomalous group-velocity dispersion in silicon channel waveguides," Opt. Express 14, 4357-4362 (2006). [CrossRef] [PubMed]
  3. J. Meier, W. S. Mohammed, A. Jugessur, L. Qian, M. Mojahedi, and J. S. Aitchison, "Group velocity inversion in AlGaAs nanowires," Opt. Express 15, 12755-12762 (2007). [CrossRef] [PubMed]
  4. E. C. Mägi, L. B. Fu, H. C. Nguyen, M. R. E. Lamont, D. I. Yeom, and B. J. Eggleton, "Enhanced Kerr nonlinearity in sub-wavelength diameter As2Se3 chalcogenide fiber tapers," Opt. Express 15, 10324-10329 (2007). [CrossRef] [PubMed]
  5. C. M. B. Cordeiro, W. J. Wadsworth, T. A. Birks, and P. S. J. Russell, "Engineering the dispersion of tapered fibers for supercontinuum generation with a 1064 nm pump laser," Opt. Lett. 30, 1980-1982 (2005). [CrossRef] [PubMed]
  6. D. I. Yeom, E. C. Mägi, M. R. E. Lamont, M. A. F. Roelens, L. B. Fu, and B. J. Eggleton, "Low-threshold supercontinuum generation in highly nonlinear chalcogenide nanowires," Opt. Lett. 33, 660-662 (2008). [CrossRef] [PubMed]
  7. L. H. Yin, Q. Lin, and G. P. Agrawal, "Soliton fission and supercontinuum generation in silicon waveguides," Opt. Lett. 32, 391-393 (2007). [CrossRef] [PubMed]
  8. M. R. E. Lamont, C. M. de Sterke, and B. J. Eggleton, "Dispersion engineering of highly nonlinear As2S3 waveguides for parametric gain and wavelength conversion," Opt. Express 15, 9458-9463 (2007). [CrossRef] [PubMed]
  9. R. Zhang, J. Teipel, X. P. Zhang, D. Nau, and H. Giessen, "Group velocity dispersion of tapered fibers immersed in different liquids," Opt. Express 12, 1700-1707 (2004). [CrossRef] [PubMed]
  10. M. E. Marhic, N. Kagi, T. K. Chiang, and L. G. Kazovsky, "Broadband fiber optical parametric amplifiers," Opt. Lett. 21, 573-575 (1996). [CrossRef] [PubMed]
  11. C. J. McKinstrie, S. Radic, and A. R. Chraplyvy, "Parametric amplifiers driven by two pump waves," IEEE J. Sel. Top. Quantum Electron. 8, 538-547 (2002). [CrossRef]
  12. M. E. Marhic, Y. Park, F. S. Yang, and L. G. Kazovsky, "Broadband fiber-optical parametric amplifiers and wavelength converters with low-ripple Chebyshev gain spectra," Opt. Lett. 21, 1354-1356 (1996). [CrossRef] [PubMed]
  13. M. Yu, C. J. McKinstrie, and G. P. Agrawal, "Modulational instabilities in dispersion-flattened fibers," Phys. Rev. E 52, 1072 (1995). [CrossRef]
  14. J. D. Harvey, R. Leonhardt, S. Coen, G. K. L. Wong, J. C. Knight, W. J. Wadsworth, and P. S. J. Russell, "Scalar modulation instability in the normal dispersion regime by use of a photonic crystal fiber," Opt. Lett. 28, 2225-2227 (2003). [CrossRef] [PubMed]
  15. M. Hirano, T. Nakanishi, T. Okuno, and M. Onishi, "Selective FWM-based wavelength conversion realized by highly nonlinear fiber," in European Conference on Optical Communication (Cannes, France, 2006), paper Th1.3.5.
  16. M. Hirano, T. Nakanishi, T. Okuno, and M. Onishi, "Broadband wavelength conversion over 193-nm by HNL-DSF improving higher-order dispersion performance," in European Conference on Optical Communication (Glasgow, Scotland, 2005), paper Th4.4.4.
  17. G. P. Agrawal, Nonlinear Fiber Optics (Academic Press, San Diego, California, 2001).
  18. M. A. Foster, A. C. Turner, J. E. Sharping, B. S. Schmidt, M. Lipson, and A. L. Gaeta, "Broad-band optical parametric gain on a silicon photonic chip," Nature 441, 960-963 (2006). [CrossRef] [PubMed]
  19. D. Marcuse, Theory of Dielectric Optical Waveguides (Academic Press, San Diego, California, 1991).
  20. S. Radic, C. J. McKinstrie, A. R. Chraplyvy, G. Raybon, J. C. Centanni, C. G. Jorgensen, K. Brar, and C. Headley, "Continuous-wave parametric gain synthesis using nondegenerate pump four-wave mixing," IEEE Photon. Technol. Lett. 14, 1406-1408 (2002). [CrossRef]
  21. V. G. Ta'eed, M. R. E. Lamont, D. J. Moss, B. J. Eggleton, D. Y. Choi, S. Madden, and B. Luther-Davies, "All optical wavelength conversion via cross phase modulation in chalcogenide glass rib waveguides," Opt. Express 14, 11242-11247 (2006). [CrossRef] [PubMed]
  22. K. P. Hansen, "Dispersion flattened hybrid-core nonlinear photonic crystal fiber," Opt. Express 11, 1503-1509 (2003). [CrossRef] [PubMed]
  23. W. H. Reeves, J. C. Knight, P. S. J. Russell, and P. J. Roberts, "Demonstration of ultra-flattened dispersion in photonic crystal fibers," Opt. Express 10, 609-613 (2002). [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited