OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: G. I. Stegeman
  • Vol. 23, Iss. 1 — Jan. 1, 2006
  • pp: 10–19

Efficient femtosecond pulse generation using a parabolic amplifier combined with a pulse compressor. II. Finite gain-bandwidth effect

Daniel B.S. Soh, Johan Nilsson, and Anatoly B. Grudinin  »View Author Affiliations


JOSA B, Vol. 23, Issue 1, pp. 10-19 (2006)
http://dx.doi.org/10.1364/JOSAB.23.000010


View Full Text Article

Enhanced HTML    Acrobat PDF (325 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A derivation of an analytical expression for the propagation of a parabolic pulse in an optical fiber amplifier with a finite Lorentzian gain bandwidth is presented. Through a separation of variables combined with the method of stationary phase, we derive equations in both time and frequency spaces to obtain the analytical solution. This results in a compact analytical form that has a number of physical meanings. It shows that the finite gain bandwidth seriously limits the performance of parabolic amplification by distorting both the chirp and the frequency envelope, thus preventing efficient pulse compression required for high-power femtosecond pulse generation. The validity of the analytical derivation is verified through numerical simulations using the split-step Fourier method, showing an excellent agreement with the derived analytical solution, in pulse shape, chirp, and the optical spectrum.

© 2006 Optical Society of America

OCIS Codes
(060.2320) Fiber optics and optical communications : Fiber optics amplifiers and oscillators
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(190.4370) Nonlinear optics : Nonlinear optics, fibers

ToC Category:
Lasers

Citation
Daniel B. Soh, Johan Nilsson, and Anatoly B. Grudinin, "Efficient femtosecond pulse generation using a parabolic amplifier combined with a pulse compressor. II. Finite gain-bandwidth effect," J. Opt. Soc. Am. B 23, 10-19 (2006)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-23-1-10


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. M. E. Fermann, V. I. Kruglov, B. C. Thomsen, 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]
  2. V. I. Kruglov, A. C. Peacock, and J. D. Harvey, "Exact self-similar solutions of the generalized nonlinear Schrödinger equation with distributed coefficients," Phys. Rev. Lett. 90, 113902 (2003). [CrossRef] [PubMed]
  3. 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. B 19, 461-469 (2002). [CrossRef]
  4. D. B. S. Soh, J. Nilsson, and A. B. Grudinin, "Efficient femtosecond pulse generation using a parabolic amplifier and a pulse compressor. I. Stimulated Raman scattering effects," J. Opt. Soc. Am. B 22, 1-9 (2005).
  5. J. Limpert, T. Schreiber, T. Clausnitzer, K. Zollner, H.-J. Fuchs, E.-B. Kley, H. Zellmer, and A. Tünnermann, "High-power femtosecond Yb-doped fiber amplifier," Opt. Express 10, 628-638 (2002). [PubMed]
  6. C. Finot, G. Millot, S. Pitois, C. Billet, and J. M. Dudley, "Numerical and experimental study of parabolic pulses generated via Raman amplification in standard optical fibers," IEEE J. Sel. Top. Quantum Electron. 10, 1211-1218 (2004). [CrossRef]
  7. G. P. Agrawal, "Optical pulse propagation in doped fiber amplifiers," Phys. Rev. A 44, 7493-7501 (1991). [CrossRef] [PubMed]
  8. L. W. Liou and G. P. Agrawal, "Solitons in fiber amplifiers beyond the parabolic-gain and rate-equation approximations," Opt. Commun. 124, 500-504 (1996). [CrossRef]
  9. C. Paré and P.-A. Bélanger, "Optical solitary waves in the presence of a Lorentzian gain line: limitations of the Ginzburg-Landau model," Opt. Commun. 145, 385-392 (1998). [CrossRef]
  10. A. C. Peacock, R. J. Kruhlak, J. D. Harvey, and J. M. Dudley, "Solitary pulse propagation in high gain optical fiber amplifiers with normal group velocity dispersion," Opt. Commun. 206, 171-177 (2002). [CrossRef]
  11. E. T. Copson, Asymptotic Expansions (Cambridge U. Press, 1965). [CrossRef]
  12. D. J. Richardson, V. V. Afanasjev, A. B. Grudinin, and D. N. Payne, "Amplification of femtosecond pulses in a passive, all-fiber soliton source," Opt. Lett. 17, 1596-1598 (1992). [CrossRef] [PubMed]
  13. G. P. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Academic, 2001).
  14. G. Chang, A. Galvanauskas, H. G. Winful, and T. B. Norris, "Dependence of parabolic pulse amplification on stimulated Raman scattering and gain bandwidth," Opt. Lett. 29, 2647-2649 (2004). [CrossRef] [PubMed]
  15. E. B. Treacy, "Optical pulse compression with diffraction gratings," IEEE J. Quantum Electron. QE-5, 454-458 (1969). [CrossRef]
  16. W. J. Tomlinson and W. H. Knox, "Limits of fiber-grating optical pulse compression," J. Opt. Soc. Am. B 4, 1404-1411 (1987). [CrossRef]
  17. O. E. Martinez, "Grating and prism compressors in the case of finite beam size," J. Opt. Soc. Am. B 3, 929-934 (1986). [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.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4 Fig. 5
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited