Abstract
Mode-locked lasers generate ultra-short optical pulses, with durations ranging from hundreds of picoseconds (ps) down to a few femtoseconds (fs). The pulse circulating in the cavity of a mode-locked laser can be thought of as a dissipative soliton, where the dissipation is due to the inevitable presence of loss, which must be compensated by gain. In addition to gain and loss, the pulse experiences nonlinearity and dispersion, the key ingredients for any soliton system. These effects occur in physical elements that do not completely fill the cavity, thus there is a similarity to the dispersion management that is used in telecommunications systems.
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REFERENCES
For a textbook-level discussion of lasers, see for example A. E. Siegman, Lasers (University Science Books, Mill Valley, 1986) or J. T. Verdeyen, Laser Electronics (Prentice-Hall, Englewood Cliffs, 1995).
E. P. Ippen, Appl. Phys. B 58, 159 (1994).
Y. Chen, F. X. Kärtner, U. Morgner, S. H. Cho, H. A. Haus, E. P. Ippen, J. G. FujimotoJ. Opt. Soc. Am. B 16, 1999 (1999).
E. DesurvireErbium-Doped Fiber Amplifiers (John Wiley & Sons, New York, 1994).
B. C. Collings, K. Bergman, S. T. Cundiff, S. Tsuda, J. N. Kutz, J. E. Cunningham, W. Y. Jan, M. Koch, W. H. KnoxIEEE J. Sel. Top. Quantum Electr. 3, 1065 (1997).
L. E. Nelson, D. J. Jones, K. Tamura, H. A. Haus, E. P. IppenAppl. Phys. B 65, 277 (1997).
A. Hasegawa, F. TappertAppl. Phys. Lett. 23, 142 (1973).
I. P. KaminowIEEE J. Quantum Electron. 17, 15 (1981).
L. F. Mollenauer, R. H. Stolen, J. P. GordonPhys. Rev. Lett. 45, 1095 (1980).
H. A. Haus, W. S. WongRev. Mod. Phys. 68, 423 (1996).
C.D. Poole, J. NagelPolarization effects in lightwave systems. In: Optical Fiber Telecommunications IIIA, ed. by I. P. Kaminow, T. L. Koch (Academic, San Dieogo 1997) p. 114.
M. N. Islam, C. D. Poole, J. P. GordonOpt. Lett. 14, 1011 (1989).
C. R. MenyukOpt. Lett. 12, 614 (1987); IEEE J. Quantum Electron. 23, 174 (1987); J. Opt. Soc. Am. B 5, 392 (1988).
D. N. Christodoulides, R. I. JosephOpt. Lett. 13, 53 (1988).
S. T. Cundiff, B. C. Collings, N. N. Akhmediev, J. M. Soto-Crespo, K. Bergman, W. H. KnoxPhys. Rev. Lett. 82, 3988 (1999).
M. V. Tratnik, J. E. SipePhys. Rev. A 38, 2011 (1988).
N. Akhmediev, A. Buryak, J. M. Soto-CrespoOpt. Commun. 112, 278 (1994).
N. Akhmediev, J. M. Soto-CrespoPhys. Rev. E 49, 5742 (1994).
N. N. Akhmediev, A. V. Buryak, J. M. Soto-Crespo, D. R. Andersen, J. Opt. Soc. Am. B 12, 434 (1995).
J. M. Soto-Crespo, N. Akhmediev, A. AnkiewiczPhys. Rev. E 51, 3547 (1995).
Y. Chen, J. AtaiJ. Opt. Soc. Am. B 12, 434 (1995).
H. G. WinfulOpt. Lett. 11, 33 (1986).
K. J. Blow, N. J. Doran, D. WoodOpt. Lett. 12, 202 (1987).
Y. Barad, Y. SilberbergPhys. Rev. Lett. 78, 3290 (1997).
S. T. Cundiff, B. C. Collings, W. H. KnoxOptics Express 1, 12 (1997).
N. N. Akhmediev, J. M. Soto-Crespo, S. T. Cundiff, B. C. Collings, W. H. KnoxOpt. Lett. 23, 852 (1998).
B. C. Collings, S. T. Cundiff, N. N. Akhmediev, J. M. Soto-Crespo, K. Bergman, W. H. Knox,J. Opt . Soc. Am. B 17, 354 (2000).
J. M. Soto-Crespo, N. N. Akhmediev, B. C. Collings, S. T. Cundiff, K. Bergman, W. H. KnoxJ. Opt. Soc. Am. B 17, 366 (2000).
G. P. AgrawalNonlinear Fiber Optics (Academic Press, San Diego 1995).
N. N. Akhmediev and A. AnkiewiczSolitons: Nonlinear pulses and beams, (Chapman & Hall, London 1997).
S.V. ManakovSov. JETP 38, 248 (1974).
J. U. Kang, G. I. Stegeman, J. S. Aitchison, N. AkhmedievPhys. Rev. Lett. 76, 3699 (1996).
S. G. Evangelides, L. F. Mollenauer, J. P. Gordon, N. S. BerganoJ. Lightwave Technol. 10, 28 (1992).
L. F. Mollenauer, K. Smith, J. P. Gordon, C. R. MenyukOpt. Lett. 14, 1219 (1989).
S. M. J. KelleyElectron. Lett. 28, 806 (1992).
J. P. GordonJ. Opt. Soc. Am. B 9, 91, (1992).
H. C. LefevreElectron. Lett. 16, 778 (1980).
S. T. Cundiff, B. C. Collings, K. BergmanCHAOS 10, 613 (2000).
J. M. Soto-Crespo, N. Akhmediev, A. AnkiewiczPhys. Rev. Lett. 85, 2937 (2000).
S. T. Cundiff, J. M. Soto-Crespo N. N. AkhmedievPhys. Rev. Lett. 88, 073903 (2002).
R. Trebino, Frequency-Resolved Optical Gating: the Measurement of Ultrashort Laser Pulses (Kluwer, Boston 2002).
W. H. KnoxOpt. Lett. 17, 514 (1992).
H. G. SchusterDeterministic Chaos, 3rd ed. (VCH, Weinheim 1995).
D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, S. T. CundiffScience 288, 635 (2000).
A. Apolonski, A. Poppe, G. Tempea, C. Spielmann, T. Udem, R. Holzwarth, T. W. HänschF. Krausz: Phys. Rev. Lett. 85, 740 (2000).
S. T. CundiffJ. Phys. D 35, R43 (2002).
A. Baltuška, T. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, C. Gohle, R. Holzwarth, V. S. Yakoviev, A. Scrinzi, T. W. Hänsch, and F. KrauszNature 421, 611 (2003).
S. A. Diddams, D. J. Jones, J. Ye, T. Cundiff, J. L. Hall, J. K. Ranka, R. S. Windeler, R. Holzwarth, T. Udem, and T. W. HänschPhys. Rev. Lett. 84, 5102 (2000).
S. T. Cundiff, J. YeRev. Mod. Phys. 75, 325 (2003).
S. A. Diddams, T. Udem, J. C. Bergquist, E. A. Curtis, R. E. Drullinger, L. Hollberg, W. M. Itano, W. D. Lee, C. W. Oates, K. R. Vogel, D. J. WinelandScience 293, 825 (2001).
J. Ye, L.-S. Ma, J. L. HallPhys. Rev. Lett. 87, 270801 (2001).
H. R. Telle, G. Steinmeyer, A. E. Dunlop, J. Stenger, D. H. Sutter, U. KellerAppl. Phys. B 69, 327 (1999).
L. Xu, C. Spielmann, A. Poppe, T. Brabec, F. Krausz, and T. W. HänschOpt. Lett. 21, 2008 (1996).
A. Poppe, R. Holzwarth, A. Apolonski, G. Tempea, C. Spielmann, T. W. Hänsch, F. KrauszAppl. Phys. B 72, 977. (2001).
H. A. Haus, E. P. IppenOpt. Lett. 26, 1654 (2001).
K. W. Holman, R. J. Jones, A. Marian, S. T. Cundiff, J. YeOpt. Lett. 28, 851 (2003).
P. Goorjian, S.T. CundiffOpt. Lett. 29, 1363 (2004).
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Cundiff, S. Soliton Dynamics in Mode-Locked Lasers. In: Akhmediev, N., Ankiewicz, A. (eds) Dissipative Solitons. Lecture Notes in Physics, vol 661. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10928028_8
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