OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 20 — Sep. 28, 2009
  • pp: 18320–18329

Spatial Mode-Locking of Light Bullets in PlanarWaveguide Arrays

Matthew O. Williams and J. Nathan Kutz  »View Author Affiliations


Optics Express, Vol. 17, Issue 20, pp. 18320-18329 (2009)
http://dx.doi.org/10.1364/OE.17.018320


View Full Text Article

Enhanced HTML    Acrobat PDF (986 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A theoretical proposal is presented for the generation of mode-locked light-bullets in planar waveguide arrays, extending the concept of time-domain mode-locking in waveguide arrays to spatial (transverse) mode-locking in slab waveguides. The model presented yields three-dimensional localized states that act as global attractors to the waveguide array system. Single pulse stationary and time-periodic solutions as well as the transition to multi-pulse solutions as a function of gain are observed to be stabilized in such a system.

© 2009 Optical Society of America

OCIS Codes
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(140.4050) Lasers and laser optics : Mode-locked lasers
(230.7400) Optical devices : Waveguides, slab

ToC Category:
Lasers and Laser Optics

History
Original Manuscript: July 31, 2009
Revised Manuscript: September 1, 2009
Manuscript Accepted: September 2, 2009
Published: September 25, 2009

Citation
Matthew O. Williams and J. Nathan Kutz, "Spatial Mode-Locking of Light Bullets in Planar Waveguide Arrays," Opt. Express 17, 18320-18329 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-20-18320


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. D. N. Christodoulides and R. I. Joseph, "Discrete self-focusing in nonlinear arrays of coupled waveguides," Opt. Lett. 13, 794-796 (1988). [CrossRef] [PubMed]
  2. D. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behaviour in linear and nonlinear waveguide lattices," Nature 424, 817-823 (2003) [CrossRef] [PubMed]
  3. H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd and J. S. Aitchison, "Discrete spatial optical solitons in waveguide arrays," Phys. Rev. Lett. 81, 3383-3386 (1998). [CrossRef]
  4. A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete selftrapping soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172-1189 (1996). [CrossRef]
  5. H. S. Eisenberg, R. Morandotti, Y. Silberberg, J. M. Arnold, G. Pennelli, and J. S. Aitchison, "Optical discrete solitons in waveguide arrays. 1. Soliton formation," J. Opt. Soc. Am. B 19, 2938-1944 (2002). [CrossRef]
  6. U. Peschel, R. Morandotti, J. M. Arnold, J. S. Aitchison, H. S. Eisenberg, Y. Silberberg, T. Pertsch, and F. Lederer, "Optical discrete solitons in waveguide arrays. 2. Dynamics properties," J. Opt. Soc. Am. B 19, 2637- 2644 (2002). [CrossRef]
  7. D. Hudson, K. Shish, T. Schibli, J. N. Kutz, D. Christodoulides, R. Morandotti and S. Cundiff) "Nonlinear femtosecond pulse reshaping in waveguide arrays," Opt. Lett. 33, 1440-1442 (2008) [CrossRef] [PubMed]
  8. S. Droulias, K. Hizanidis, D. N. Christodoulides, and R. Morandotti, "Waveguide array-grating compressors," App. Phys. Lett. 87, 131104 (2005). [CrossRef]
  9. M. O. Williams, M. Feng, J. N. Kutz, K. Silverman, R. Mirin and S. Cundiff, "Intensity Dynamics in Semiconductor Laser Arrays," OSA Nonlinear Optics 2009 Technical Digest JTuB14 (2009)
  10. J. N. Kutz, Mode-Locking of Fiber Lasers via Nonlinear Mode-Coupling, vol. 661 of Lecture Notes in Physics (Springer Berlin / Heidelberg, 2005).
  11. J. Proctor and J. N. Kutz, "Theory and Simulation of Passive Mode-locking with Waveguide Arrays," Optics Letters 13, 2013-2015 (2005). [CrossRef]
  12. J. N. Kutz and B. Sandstede, "Theory of passive harmonic mode-locking using waveguide arrays," Opt. Express 16, 636-650 (2008). [CrossRef] [PubMed]
  13. B. G. Bale, J. N. Kutz and B. Sandstede, "Optimizing waveguide array mode-locking for high-power fiber lasers," IEEE J. Sel. Top. Quantum Electron. 15220-231 (2009). [CrossRef]
  14. See the Fundamentals, Functionalities, and Applications of Cavity Solitons (FunFACS) webpage for a complete overview of current and potential methods and realizations of generating localized optical structures: www.funfacs.org.
  15. Y. Tanguy, T. Ackemann,W. J. Firth, and R. J¨ager, "Realization of a Semiconductor-Based Cavity Soliton Laser," Phys. Rev. Lett. 100, 013907 (2008). [CrossRef] [PubMed]
  16. S. Barland, J. Tredicce, M. Brambilla, L. Lugiato, S. Balle, M. Giudici, T. Maggipinto, L. Spinelli, G. Tissoni, T. Kn¨odl, M. Miller and R. J¨ager, "Cavity solitons as pixels in semiconductor microcavities," Nature 419, 699-702 (2002). [CrossRef] [PubMed]
  17. V. B. Taranenko and C. O. Weiss, "Incoherent optical switching of semiconductor resonator solitons," Appl. Phys. B 72, 893-895 (2001).
  18. S. Barbay, Y. M’enesguen, X. Hachair, L. Lery, I. Sagnes and R. Kuszelewics, "Incoherent and coherent writing and erasure of cavity solitons in an optically pumped semiconductor amplifier," Opt. Lett. 31, 1504-1506 (2006). [CrossRef] [PubMed]
  19. X. Hachair, L. Furfaro, J. Javaloyes, M. Giudici, S. Balle and J. Tredicce, "Cavity-solitons switching in semiconductor microcavities," Phys. Rev. A 72, 013815 (2005). [CrossRef]
  20. U. Keller and A. C. Tropper, "Passively modelocked surface-emitting semiconductor lasers," Phys. Reports 429, 67-120 (2006). [CrossRef]
  21. J. Marangos, "Slow Light in Cool Atoms," Nature 397, 559-560 (1999). [CrossRef]
  22. J. T. Mok, C. M. de Sterke, I. C. M. Liter, and B. J. Eggleton, "Dispersionless slow light using gap solitons," Nature Physics 2, 775-780 (2006). [CrossRef]
  23. P. Y. P. Chen, B. A. Malomed, and P. L. Chu, "Trapping Bragg solitons by a pair of defects," Phys. Rev. E 71, 066601 (2005). [CrossRef]
  24. A. Yariv, Quantum Electronics (John Wiley and Sons, 1988).
  25. L. Rahman and H. Winful, "Nonlinear dynamics of semiconductor laser arrays: a mean field model," Quantum Electronics, IEEE Journal of 30, 1405-1416 (1994). [CrossRef]
  26. P. Kockaert, P. Tassin, G. van der Sande, I. Veretennicoff, and M. Tlidi, "Negative diffraction pattern dynamics in nonlinear cavities with left-handed materials," Phys. Rev. A 74, 033822 (2006). [CrossRef]
  27. C. Sulem and P-L. Sulem, The nonlinear Schroedinger equation: self-focusing and wave collapse (Springer, 1999).
  28. N. N. Akhmediev and A. Ankiewicz, Eds. Dissipative Solitons, Lecture Notes in Physics, (Springer-Verlag, 2005).
  29. A. Barsella, C. Lepers, M. Taki and M. Tlidi, "Moving localized structures in quadratic media with saturable absorber," Opt. Comm. 232, 381-389 (2004). [CrossRef]
  30. M. Tlidi, M. Taki, M. Le Berre, E. Reyssayre, A. Tallet and L. Di Menza, "Moving localized structures and spatial patterns in quadratic media with a saturable absorber," J. Opt. B: Quantum Semiclass. 6, S421-S429 (2004). [CrossRef]

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.

Multimedia

Multimedia FilesRecommended Software
» Media 1: MOV (1394 KB)      QuickTime
» Media 2: MOV (343 KB)      QuickTime

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited