Abstract

We derive a general characterization of the intracavity pulse dynamics for passively mode-locked fiber lasers based on the use of the variational principle. As a first application this method is used for an efficient simulation of the laser dynamics of stretched pulse and similariton lasers and evaluation of its stability.

© 2007 Optical Society of America

» View Full Text: Acrobat PDF (169 KB) 

History
Original Manuscript: February 23, 2007
Manuscript Accepted: April 25, 2007
Revised Manuscript: April 23, 2007
Published: April 30, 2007

References

1. H. A. Haus, "Mode-Locking of Lasers," IEEE J. Sel. Top. Quantum Electron. 6, 1173-1185 (2000).
2. H. A. Haus, K. Tamura, L. E. Nelson and E. P. Ippen "Stretched-Pulse Additive Pulse Mode-Locking in Fiber Abstruct- Stretched-pulse Ring Lasers: Theory and Experiment," IEEE J. QuantumElectron. 31, 591-598 (1995).
3. V. I. Kruglov, A. C. Peacock, J. M. Dudley and J. D. Harvey, "Self-similar propagation of high-power parabolic pulses in optical fiber amplifiers, "Opt. Lett. 25, 1753-1755 (2000).
4. F. Ö. 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]
5. J. N. Kutz, P. Holmes, S. G. Evangelides, J. P. Gordon, " Hamiltonian dynamics of dispersion-managed breathers," J. Opt. Soc. Am. B 15, 87-96 (1998).
6. C. Jirauscheck, U. Morgner and F. X. Kärtner, "Variational analysis of spatio-temporal pulse dynamics in dispersive Kerr media," J. Opt. Soc. Am. B 19, 1716-1721 (2002).
7. C. Jirauscheck, U. Morgner and F. X. Kärtner, "Spatiotemporal Gaussian pulse dynamics in Kerr-lens modelocked lasers," J. Opt. Soc. Am. B 20, 1356-1368 (2003).
8. C. Jirauscheck and F. X. Kärtner, "Gaussian pulse dynamics in gain media with Kerr nonlinearity," J. Opt. Soc. Am. B 23, 1776-1784 (2006).
9. J- G. Caputo, N. Flytzanis, M. P. Sorensen, "Ring laser configuration studied by collective coordinates," J. Opt. Soc. Am. B 12, 139-145 (1995).
10. S. Waiyapot and M. Matsumoto, "Jitter and time stability of an actively mode-locked dispersion-managed fiber laser," Opt. Commun. 188, 167-180 (2001). [CrossRef]
11. M. Horowitz and C. R. Menyuk, "Analysis of pulse dropout in harmonically mode-locked fiber lasers by use of the Lyapunov method," Opt. Lett. 25, 40-42 (2000).
12. C. Jirauschek and F. Ö. Ilday, "Theory of the Self-Similar Laser Oscillator," CLEO 2005, Paper JWB65 (2005).
13. K. Tamura, E. P. Ippen, H. A. Haus and L. Nelson, "77-fs pulse generation from a stretched-pulse mode-locked all-fiber ring laser," Opt. Lett. 18, 1080-1082 (1993).
14. Introduction to numerical analysis, ser. Texts in Applied Mathematics, vol. 12, Springer (2002).
15. Advanced Synergetics, ser. Springer Series, vol. 20, Springer-Verlag (1983).

Author Affiliations

Jeff Chen, Franz X. Kartner

Massachusetts Institute of Technology

Cristian Antonelli

Massachussetts Institute of Technology

Cited By

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Advanced Search

Recent ToC Categories (Beta)