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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 25 — Dec. 6, 2010
  • pp: 25873–25886

Dynamical, bidirectional model for coherent beam combining in passive fiber laser arrays

Tsai-wei Wu, Wei-zung Chang, Almantas Galvanauskas, and Herbert G. Winful  »View Author Affiliations

Optics Express, Vol. 18, Issue 25, pp. 25873-25886 (2010)

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We generalize the recently proposed model for coherent beam combining in passive fiber laser arrays [Opt. Express 17, 19509 (2009)] to include the transient gain dynamics and the complication of counterpropagating waves, two important features characterizing actual experimental conditions. The extended model reveals that beam combining is not affected by the population relaxation process or the presence of backward propagating waves, which only serve to co-saturate the gain. The presence of nonresonant nonlinearity is found to reduce the coherent combining efficiency at high power levels. We show that the array lases at the frequencies with minimum overall losses when multiple loss mechanisms are present.

© 2010 OSA

OCIS Codes
(060.2320) Fiber optics and optical communications : Fiber optics amplifiers and oscillators
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers
(140.3290) Lasers and laser optics : Laser arrays
(140.3510) Lasers and laser optics : Lasers, fiber
(140.3298) Lasers and laser optics : Laser beam combining

ToC Category:
Lasers and Laser Optics

Original Manuscript: September 29, 2010
Revised Manuscript: November 8, 2010
Manuscript Accepted: November 11, 2010
Published: November 25, 2010

Tsai-wei Wu, Wei-zung Chang, Almantas Galvanauskas, and Herbert G. Winful, "Dynamical, bidirectional model for coherent beam combining in passive fiber laser arrays," Opt. Express 18, 25873-25886 (2010)

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  1. H. Bruesselbach, D. C. Jones, M. S. Mangir, M. Minden, and J. L. Rogers, “Self-organized coherence in fiber laser arrays,” Opt. Lett. 30(11), 1339–1341 (2005). [CrossRef] [PubMed]
  2. W. Z. Chang, T. W. Wu, H. G. Winful, and A. Galvanauskas, “Array size scalability of passively coherently phased fiber laser arrays,” Opt. Express 18(9), 9634–9642 (2010). [CrossRef] [PubMed]
  3. D. Sabourdy, V. Kermene, A. Desfarges-Berthelemot, L. Lefort, A. Barthelemy, P. Even, and D. Pureur, “Efficient coherent combining of widely tunable fiber lasers,” Opt. Express 11(2), 87–97 (2003). [CrossRef] [PubMed]
  4. A. Shirakawa, K. Matsuo, and K. Ueda, “Fiber laser coherent array for power scaling, bandwidth narrowing, and coherent beam direction control,” in Conference on Fiber Lasers II, L. N. Durvasula, A. J. W. Brown, and J. Nilsson, eds. (San Jose, CA, 2005), pp. 165–174.
  5. A. Shirakawa, T. Saitou, T. Sekiguchi, and K. Ueda, “Coherent addition of fiber lasers by use of a fiber coupler,” Opt. Express 10(21), 1167–1172 (2002). [PubMed]
  6. J. Q. Cao, J. Hou, Q. S. Lu, and X. J. Xu, “Numerical research on self-organized coherent fiber laser arrays with circulating field theory,” J. Opt. Soc. Am. B 25(7), 1187–1192 (2008). [CrossRef]
  7. D. Kouznetsov, J. F. Bisson, A. Shirakawa, and K. Ueda, “Limits of coherent addition of lasers: Simple estimate,” Opt. Rev. 12(6), 445–447 (2005). [CrossRef]
  8. W. Ray, J. L. Rogers, and K. Wiesenfeld, “Coherence between two coupled lasers from a dynamics perspective,” Opt. Express 17(11), 9357–9368 (2009). [CrossRef] [PubMed]
  9. J. L. Rogers, S. Peles, and K. Wiesenfeld, “Model for high-gain fiber laser arrays,” IEEE J. Quantum Electron. 41(6), 767–773 (2005). [CrossRef]
  10. K. Wiesenfeld, S. Peles, and J. L. Rogers, “Effect of Gain-Dependent Phase Shift on Fiber Laser Synchronization,” IEEE J. Sel. Top. Quantum Electron. 15(2), 312–319 (2009). [CrossRef]
  11. T. W. Wu, W. Z. Chang, A. Galvanauskas, and H. G. Winful, “Model for passive coherent beam combining in fiber laser arrays,” Opt. Express 17(22), 19509–19518 (2009). [CrossRef] [PubMed]
  12. G. P. Agrawal, Nonlinear fiber optics, third edition (Academic Press, 2001), pp. 263–264.
  13. A. E. Siegman, Lasers (University Science Books (January 1986)), pp. 485–487.
  14. A. Yariv, Photonics: Optical Electronics in Modern Communications, 6th Edition (Oxford University Press, USA, 2007), pp. 563–565.
  15. V. Roy, M. Piché, F. Babin, and G. W. Schinn, “Nonlinear wave mixing in a multilongitudinal-mode erbium-doped fiber laser,” Opt. Express 13(18), 6791–6797 (2005). [CrossRef] [PubMed]
  16. D. Hollenbeck and C. D. Cantrell, “Parallelizable, bidirectional method for simulating optical-signal propagation,” J. Lightwave Technol. 27(12), 2140–2149 (2009). [CrossRef]
  17. J. Kanka, “Numerical simulation of subpicosecond soliton formation in a nonlinear coupler laser,” Opt. Lett. 19(22), 1873–1875 (1994). [CrossRef] [PubMed]
  18. E. Martı́-Panameño, L. C. Gomez-Pavon, A. Luis-Ramos, M. M. Méndez-Otero, and M. D. I. Castillo, “Self-mode-locking action in a dual-core ring fiber laser,” Opt. Commun. 194, 409–414 (2001). [CrossRef]
  19. B. N. Upadhyaya, U. Chakravarty, A. Kuruvilla, A. K. Nath, M. R. Shenoy, and K. Thyagarajan, “Effect of steady-state conditions on self-pulsing characteristics of Yb-doped cw fiber lasers,” Opt. Commun. 281(1), 146–153 (2008). [CrossRef]
  20. D. Sabourdy, V. Kermene, A. Desfarges-Berthelemot, M. Vampouille, and A. Barthelemy, ““Coherent combining of two Nd: YAG lasers in a Vernier-Michelson-type cavity,” Appl. Phys. B-Lasers. 75, 503–507 (2002). [CrossRef]
  21. E. J. Bochove, “Effect of nonlinear phase on the passive phase locking of an array of fiber lasers of random lengths,” in Integrated Photonics and Nanophotonics Research and Applications (IPNRA) (Honolulu, Hawaii, 2009).
  22. C. J. Corcoran and K. A. Pasch, “Output phase characteristics of a nonlinear regenerative fiber amplifier,” IEEE J. Quantum Electron. 43(6), 437–439 (2007). [CrossRef]
  23. B. S. Wang, E. Mies, M. Minden, and A. Sanchez, “All-fiber 50 W coherently combined passive laser array,” Opt. Lett. 34(7), 863–865 (2009). [CrossRef] [PubMed]
  24. H. Bruesselbach, M. Minden, J. L. Rogers, D. C. Jones, and M. S. Mangir, “200 W self-organized coherent fiber arrays,” in 2005 Conference on Lasers & Electro-Optics (2005), pp. 532–534.
  25. A. E. Siegman, “Resonant modes of linearly coupled multiple fiber laser structures,” unpublished at http://www.stanford.edu/~siegman/Coupled%20Fiber%20Lasers/coupled_fiber_modes.pdf (2004).

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