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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 8 — Apr. 9, 2012
  • pp: 8741–8754

Parabolic and hyper-Gaussian similaritons in fiber amplifiers and lasers with gain saturation

Vladimir I. Kruglov, Claude Aguergaray, and John D. Harvey  »View Author Affiliations

Optics Express, Vol. 20, Issue 8, pp. 8741-8754 (2012)

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We present a new asymptotically exact analytical similariton solution of the generalized nonlinear Schrdinger equation for pulses propagating in fiber amplifiers and lasers with normal dispersion including the effect of gain saturation. Numerical simulations are in excellent agreement with this analytical solution describing self-similar linearly chirped parabolic pulses. We have also found that for small enough values of the dimensionless saturation energy parameter the fiber amplifiers and lasers can generate a new type of linearly chirped self-similar pulses, which we call Hyper-Gaussian similaritons. The analytical Hyper-Gaussian similariton solution of the generalized nonlinear Schrdinger equation is also in a good agreement with numerical simulations.

© 2012 OSA

OCIS Codes
(140.3280) Lasers and laser optics : Laser amplifiers
(140.3510) Lasers and laser optics : Lasers, fiber
(190.4370) Nonlinear optics : Nonlinear optics, fibers

ToC Category:
Nonlinear Optics

Original Manuscript: February 17, 2012
Manuscript Accepted: March 14, 2012
Published: March 30, 2012

Vladimir I. Kruglov, Claude Aguergaray, and John D. Harvey, "Parabolic and hyper-Gaussian similaritons in fiber amplifiers and lasers with gain saturation," Opt. Express 20, 8741-8754 (2012)

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  1. C. R. Menyuk, D. Levi, and P. Winternitz, “Self-similarity in transient stimulated Raman scattering,” Phys. Rev. Lett.69, 3048–3051 (1992). [CrossRef] [PubMed]
  2. A. A. Afanas’ev, V. I. Kruglov, B. A. Samson, R. Jakyte, and V. M. Volkov, “Self-action of counterpropagating axially symmetrical light-beams in a transparent cubic-nonlinearity medium,” J. Mod. Opt.38, 1189–1202 (1991). [CrossRef]
  3. V. I. Kruglov, Yu. A. Logvin, and V. M. Volkov, “The theory of spiral laser-beams in nonlinear media,” J. Mod. Opt.39, 2277–2291 (1992). [CrossRef]
  4. T. M. Monro, P. D. Millar, L. Poladian, and C. M. de Sterke, “Self-similar evolution of self-written waveguides,” Opt. Lett.23, 268–270 (1998). [CrossRef]
  5. S. Sears, M. Soljacic, M. Segev, D. Krylov, and K. Bergman, “Cantor set fractals from solitons,” Phys. Rev. Lett.84, 1902–1905 (2000). [CrossRef] [PubMed]
  6. D. Anderson, M. Desaix, M. Karlsson, M. Lisak, and M. L. Quiroga-Teixeiro, “Wave-breaking-free pulses in nonlinear-optical fibers,” J. Opt. Soc. Am. B10, 1185–1190 (1993). [CrossRef]
  7. M. E. Fermann, V. I. Kruglov, B. C. Thomson, J. M. Dudley, and J. D. Harvey, “Self-similar propagation and amplification of parabolic pulses in optical fibers,” Phys. Rev. Lett.84, 6010–6013 (2000). [CrossRef] [PubMed]
  8. V. I. Kruglov, A. C. Peacock, J. M. Dudley, and J. D. Harvey, “Self-similar propagation of high-power parabolic pulses in fiber amplifiers,” Opt. Lett.25, 1753–1755 (2000). [CrossRef]
  9. V. I. Kruglov, A. C. Peacock, J. D. Harvey, and J. M. Dudley, “Self-similar propagation of parabolic pulses in normal-dispersion fiber amplifiers,” J. Opt. Soc. Am. B19, 461–469 (2002). [CrossRef]
  10. V. I. Kruglov and J. D. Harvey, “Asymptotically exact parabolic solutions of the generalized nonlinear Schrodinger equation with varying parameters,” J. Opt. Soc. Am. B23, 2541–2550 (2006). [CrossRef]
  11. J. M. Dudley, C. Finot, G. Millot, and D. J. Richardson, “Self-similarity in ultrafast nonlinear optics,” Nat. Phys.3, 597–603 (2007). [CrossRef]
  12. A. Ruehl, A. Marcinkevicius, M. E. Fermann, and I. Hartl, “80 W, 120 fs Yb-fiber frequency comb,” Opt. Lett.35, 3015–3017 (2010). [CrossRef] [PubMed]
  13. F. O. Ilday, J. R. Buckley, H. Lim, F. W. Wise, and W. G. Clark, “Generation of 50-fs, 5-nj pulses at 1.03 μm from a wave-breaking-free fiber laser,” Opt. Lett.28, 1365–1367 (2003). [CrossRef] [PubMed]
  14. F. O. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, “Self-similar evolution of parabolic pulses in a laser,” Phys. Rev. Lett.92, 213902 (2004). [CrossRef] [PubMed]
  15. G. P. Agrawal, Applications of Nonlinear Fiber Optics (Academic Press, 2001).
  16. W. H. Renninger, A. Chong, and F. W. Wise, “Self-similar pulse evolution in an all-normal-dispersion laser,” Phys. Rev. A.82, 021805 (2010). [CrossRef]
  17. B. G. Bale and S. Wabnitz, “Strong spectral filtering for a mode-locked similariton fiber laser,” Opt. Lett.35, 2466–2468 (2010). [CrossRef] [PubMed]
  18. V. I. Kruglov, D. Mechin, and J. D. Harvey, “All-fiber ring Raman laser generating parabolic pulses,” Phys. Rev. A.81, 023815 (2010). [CrossRef]

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