Pulse dynamics in mode-locked lasers: Relaxation oscillations and frequency pulling

Optics Express

Volumn 15, Issue 11, 2007, Pages 6677-6689

  Menyuk, Curtis R ^a   Wahlstrand, Jared K ^b   Willits, John ^b,c   Smith, Ryan P ^b   Schibli, Thomas R ^b   Cundiff, Steven T ^b  

^a University of Marylandw Baltimore County   (United States)

^b UNIVERSITY OF COLORADO   (United States)

^c UCB 450   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

PUMPING (LASER); RELAXATION OSCILLATORS; SAPPHIRE;

FREQUENCY PULLING; PULSE DYNAMICS; PULSE PARAMETERS; RELAXATION OSCILLATIONS;

LASER MODE LOCKING;

EID: 34249710327     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.15.006677     Document Type: Article

References (36)

1. D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, "Carrier-envelope control of femtosecond mode-locked lasers and direct optical frequency synthesis," Science 288, 635-639 (2000).
2. Th. Udem, R. Holzwarth, and T. W. Hänsch, "Optical frequency metrology," Nature (London) 416, 233-237 (2002).
3. S. A. Diddams, A. Bartels, T. M. Ramond, C. W. Oates, E. A. Curtis, and J. C. Bergquist, "Design and control of femtosecond lasers for optical clocks and synthesis of low-noise optical and microwave signals," J. Sel. Top. Quantum Electron. 9, 1072-1080 (2003).
4. M. M. Boyd, T. Zelevinsky, A. D. Ludlow, S. M. Foreman, S. Blatt, T. Ido, and J. Ye, "Optical atomic coherence at the one second time scale," Science 314, 1430-1433 (2006).
5. E. Goulielmakis, M. Uiberacker, R. Kienberger, A. Baltuska, V. Yakovlev, A. Scrinzi, Th. Westerwalbesloh, U. Kleineberg, U. Heinzmann, M. Drescher, and F. Krausz, "Direct measurement of light waves," Science 305, 1267-1269 (2004).
6. L. Xu, Ch. Spielmann, A. Poppe, T. Brabec, F. Krausz, and T.W. Hansch,"Route to phase control of ultrashort light pulses," Opt. Lett. 21, 2008-2010 (1996).
7. A. Poppe, R. Holzwarth, A. Apolonski, G. Tempea, Ch. Spielmann, T.W. Hänsch, and F. Krausz, "Few-cycle optical waveform synthesis," Appl. Phys. B 72, 373-376 (2001).
8. K. W. Holman, R. J. Jones, A. Marian, S. T. Cundiff, and J. Ye, "Detailed studies and control of intensity-related dynamics of femtosecond frequency combs from mode-Locked Ti:sapphire lasers," J. Sel. Top. Quantum Electron. 9, 1018-1024 (2003).
9. H. A. Haus and E. P. Ippen, "Group velocity of solitons," Opt. Lett. 26, 1654-1656 (2001).
10. M.J. Ablowitz, B. Ilan, and S.T. Cundiff, "Carrier-envelope phase slip of ultrashort dispersion-managed solitons," Opt. Lett. 29, 1808-1810 (2004).
11. D. von der Linde, "Characterization of the noise in continuously operating mode-locked lasers," Appl. Phys. B 39, 201-217 (1986).
12. A. L. Schawlow and C. H. Townes, "Infrared and optical inasers," Phys. Rev. 112, 1940-1949 (1958).
13. H. A. Haus and A. Mecozzi, "Noise of mode-locked lasers," IEEE J. Quantum Electron. 29, 983-995 (1993).
14. C. R. Menyuk and B. S. Marks, "Interaction of polarization mode dispersion and nonlinearity in optical fiber transmission systems," J. Lightwave Technol. 24, 2806-2826 (2006).
15. C. R. Menyuk, "Application of multiple-scale-length methods to the study of optical fiber transmission," J. Eng. Math. 36, 113-136 (1999).
16. H. A. Haus, "Quantum noise in a solitonlike repeater," J. Opt. Soc. Am. B 8, 1122-1126 (1991).
17. T. Georges, "Perturbation theory for the assessment of soliton transmission control," J. Opt. Fiber Technol. 1, 97-116 (1995).
18. Y. Takushima, H. Sotobayashi, M. E. Grein, E. P. Ippen, and H. A. Haus, "Linewidth of mode combs of passively and actively mode-locked semiconductor laser diodes," Proc. SPIE 5595, 213-227 (2004).
19. F. X. Kärtner, U. Morgner, T. Schibli, R. Ell, H. A. Haus, J. G. Fujimoto, and E. P. Ippen, "Few-cycle pulses directly from a laser," in Few-cycle Laser Pulse Generation and its Applications, F. X. Kärtner, ed., Topics in Applied Physics, vol. 95 (Springer, Berlin, Germany, 2004), pp. 73-135.
20. D.-G. Juang, Y.-C. Chen, S.-H. Hsu, K.-H. Lin, and W.-F. Hsieh, "Differential gain and buildup dynamics of self-starting Kerr lens mode-locked Ti:sapphire laser without an internal aperture," J. Opt. Soc. Am. B 14, 2116-2121 (1997).
21. S.T. Cundiff, J.M. Soto-Crespo, and N. Akhmediev, "Experimental evidence for soliton explosions," Phys. Rev. Lett. 88, 073903 (2002).
22. W. Koechner and M. Bass, Solid-state lasers (Springer, New York, NY, 2003), pp. 72-75.
23. L. A. Jiang, M. E. Grein, H. A. Haus, and E. P. Ippen, "Noise of mode-locked semiconductor lasers," IEEE J. Sel. Top. Quantum Electron. 7, 159-167 (2001).
24. L. Matos, O. D. Mücke, J. Chen, and F. X. Kärtner, "Carrier-envelope phase dynamics and noise analysis in octave-spanning Ti:sapphire lasers," Opt. Express 14, 2497-2511 (2006).
25. R. Paschotta, "Noise of mode-locked lasers (Part I): Numerical model," Appl. Phys. B 79, 153-162 (2004).
26. R. Paschotta, "Noise of mode-locked lasers (Part II): Timing jitter and other fluctuations," Appl. Phys. B 79, 163-173 (2004).
27. M. E. Grein, H. A. Haus, Y. Chen, and E. P. Ippen, "Quantum-limited timing jitter in actively mode-locked lasers," IEEE J. Quantum Electron. 40, 1458-1470 (2004).
28. H. A. Haus, K. Tamura, L. E. Nelson, and E. P. Ippen, "Stretched-pulse additive pulse mode-locking in fiber ring lasers: Theory and experiment," IEEE J. Quantum Electron. 31, 591-598 (1995).
29. N. J. Smith, N. J. Doran, W. Forysiak, and F. M. Knox, "Soliton transmission using periodic dispersion compensation," J. Lightwave Technol. 15, 1808-1822 (1997).
30. M. J. Ablowitz and G. Biondini, "Multiscale pulse dynamics in communication systems with strong dispersion management," Opt. Lett. 23, 1668-1670 (1998).
31. I. Gabitov and S. K. Turitsyn, "Breathing solitons in optical fiber links," JETP Lett. 63, 861-866 (1996)
32. [Pis'ma Zh. Eksp. Teor. Fiz. 63, 814-819 (1996)].
33. H. A. Haus and M. N. Islam, "Theory of the soliton laser," IEEE J. Quantum Electron. 21, 1172-1188 (1985). See sec. 9.
34. N. J. Smith, N. J. Doran, F. M. Knox, and W. Forysiak, "Energy-scaling characteristics of solitons in strongly dispersion-managed fibers," Opt. Lett. 21, 1981-1983 (1996).
35. T. Yu, E. A. Golovchenko, A. N. Pilipetskii, and C. R. Menyuk, "Dispersion-managed soliton interactions in optical fibers," Opt. Lett. 22, 793-795 (1997).
36. Q. Quraishi, S. T. Cundiff, B. Ilan, and M. J. Ablowitz, "Dynamics of nonlinear and dispersion managed solitons," Phys. Rev. Lett. 94, 243904 (2005).