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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 2 — Jan. 21, 2008
  • pp: 636–650

Theory of passive harmonic mode-locking using waveguide arrays

J. Nathan Kutz and Björn Sandstede  »View Author Affiliations


Optics Express, Vol. 16, Issue 2, pp. 636-650 (2008)
http://dx.doi.org/10.1364/OE.16.000636


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Abstract

A comprehensive theoretical treatment is given of the phenomenon of harmonic mode-locking in a laser cavity mode-locked by the nonlinear mode-coupling behavior in a waveguide array. The theoretical model completely characterizes oscillatory instabilities and the transition from M to M+1 pulses as a function of increased gain.

© 2008 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
(230.7370) Optical devices : Waveguides
(320.7090) Ultrafast optics : Ultrafast lasers

ToC Category:
Lasers and Laser Optics

History
Original Manuscript: November 27, 2007
Revised Manuscript: January 4, 2008
Manuscript Accepted: January 6, 2008
Published: January 8, 2008

Citation
J. Nathan Kutz and Björn Sandstede, "Theory of passive harmonic mode-locking using waveguide arrays," Opt. Express 16, 636-650 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-2-636


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References

  1. J. N. Kutz, B. C. Collings, K. Bergman, and W. H. Knox, "Stabilized pulse spacing in soliton lasers due to gain depletion and recovery," IEEE J. Quantum Electron. 34, 1749-1757 (1998). [CrossRef]
  2. B. Collings, K. Berman, and W. H. Knox, "Stable multigigahertz pulse train formation in a short cavity passively harmonic modelocked Er/Yb fiber laser," Opt. Lett. 23, 123-125 (1998). [CrossRef]
  3. M. E. Fermann and J. D. Minelly, "Cladding-pumped passive harmonically mode-locked fiber laser," Opt. Lett. 21, 970-972 (1996). [CrossRef] [PubMed]
  4. A. B. Grudinin, D. J. Richardson, and D. N. Payne, "Energy quantization in figure eight fibre laser," Electron. Lett. 28, 1391-1393 (1992). [CrossRef]
  5. M. J. Guy, P. U. Noske, A. Boskovic, and J. R. Taylor, "Femtosecond soliton generation in a praseodymium fluoride fiber laser," Opt. Lett. 19, 828-830 (1994). [CrossRef] [PubMed]
  6. M. Horowitz, C. R. Menyuk, T. F. Carruthers, and I. N. Duling III, "Theoretical and experimental study of harmonically modelocked fiber lasers for optical communication systems," J. Lightwave Technol. 18, 1565-1574 (2000). [CrossRef]
  7. R. P. Davey, N. Langford, and A. I. Ferguson, "Interacting solutions in erbium fibre laser," Electron. Lett. 27, 1257-1259 (1991). [CrossRef]
  8. M. J. Lederer, B. Luther-Davis, H. H. Tan, C. Jagadish, N. N. Akhmediev, and J. M. Soto-Crespo, "Multipulse operation of a Ti:Sapphire laser mode locked by an ion-implanted semiconductor saturable-absorber mirror," J. Opt. Soc. Am. B 16, 895-904 (1999). [CrossRef]
  9. Q. Xing, L. Chai, W. Zhang, and C. Wang, "Regular, period-doubling, quasi-periodic, and chaotic behavior in a self-mode-locked Ti:sapphire laser," Opt. Commun. 162, 71-74 (1999). [CrossRef]
  10. M. Lai, J. Nicholson, and W. Rudolph, "Multiple pulse operation of a femtosecond Ti:sapphire laser," Opt. Commun. 142, 45-49 (1997). [CrossRef]
  11. C. Wang, W. Zhang, K. F. Lee, and K. M. Yoo, "Pulse splitting in a self-mode-locking Ti:sapphire laser," Opt. Commun. 137, 89-92 (1997). [CrossRef]
  12. H. Kitano and S. Kinoshita, "Stable multipulse generation from a self-mode-locked Ti:sapphire laser," Opt. Commun. 157, 128-134 (1998). [CrossRef]
  13. A. N. Pilipetskii, E. A. Golovchenck, and C. R. Menyuk, "Acoustic effect in passively mode-locked fiber ring lasers," Opt. Lett. 20, 907-909 (1995). [CrossRef] [PubMed]
  14. S. Namiki, E. P. Ippen, H. Haus, and C. X. Yu, "Energy rate equations for mode-locked lasers," J. Opt. Soc. Am. B 14, 2099-2111 (1997). [CrossRef]
  15. H. A. Haus, "Mode-locking of lasers," IEEE J. Sel. Top. Quantum Electron. 6, 1173-1185 (2000). [CrossRef]
  16. J. N. Kutz, "Mode-locked soliton lasers," SIAM Rev. 48, 629-678 (2006). [CrossRef]
  17. J. P. Gordon, "Interaction forces among solitons in optical fibers," Opt. Lett. 8, 396-398 (1983). [CrossRef]
  18. J. N. Kutz, "Mode-locking of fiber lasers via nonlinear mode-coupling," in Dissipative Solitons, Lecture Notes in Physics, N. N. Akhmediev and A. Ankiewicz, eds., (Springer-Verlag, Berlin, 2005) pp. 241-265. [CrossRef]
  19. J. Proctor and J. N. Kutz, "Theory and simulation of passive mode-locking with waveguide arrays," Opt. Lett. 13, 2013-2015 (2005). [CrossRef]
  20. J. Proctor and J. N. Kutz, "Nonlinear mode-coupling for passive mode-locking: application of waveguide arrays, dual-core fibers, and/or fiber arrays," Opt. Express 13, 8933-8950 (2005). [CrossRef] [PubMed]
  21. J. Proctor and J. N. Kutz, "Averaged models for passive mode-locking using nonlinear mode-coupling," Math. Comput. Simulation 74, 333-342 (2007). [CrossRef]
  22. H. G. Winful and D. T. Walton, "Passive mode locking through nonlinear coupling in a dual-core fiber laser," Opt. Lett. 17, 1688-1690 (1992). [CrossRef] [PubMed]
  23. Y. Oh, S. L. Doty, J.W. Haus, and R. L. Fork, "Robust operation of a dual-core fiber ring laser," J. Opt. Soc. Am. B 12, 2502-2507 (1995). [CrossRef]
  24. K. Intrachat and J. N. Kutz, "Theory and simulation of passive mode-locking dynamics using a long period fiber grating," IEEE J. Quantum Electron. 39, 1572-1578 (2003). [CrossRef]
  25. D. N. Christodoulides and R. I. Joseph, "Discrete self-focusing in nonlinear arrays of coupled waveguides," Opt. Lett. 13, 794-796 (1988). [CrossRef] [PubMed]
  26. 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]
  27. 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]
  28. 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]
  29. 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]
  30. S. Droulias, K. Hizanidis, D. N. Christodoulides, and R. Morandotti, "Waveguide array-grating compressors," App. Phys. Lett. 87, 131104 (2005). [CrossRef]
  31. T. Brabec, Ch. Spielmann, P. F. Curley, and F. Krausz, "Kerr lens mode locking," Opt. Lett. 17, 1292-1294 (1992). [CrossRef] [PubMed]
  32. L. Spinelli, B. Couilland, N. Goldblatt, and D. K. Negus, in Conference on Lasers and Electro-Optics 10, (1991) OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), paper CPDP7.
  33. T. Kapitula, J. N. Kutz, and B. Sandstede, "Stability of pulses in the master-modelocking equation," J. Opt. Soc. Am. B 19, 740-746 (2002). [CrossRef]

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