Abstract

A completely analytical approach to analysis of energy-scalable ultrashort-pulse oscillators operating in both normal- and anomalous-dispersion regimes is developed. The theory, based on the approximated solutions of the generalized complex nonlinear Ginzburg-Landau equation allows the problem to be reduced to a purely algebraic model, so that the oscillator characteristics are easy to trace and are completely characterized by only two parameters defining the so-called master diagram of the pulse energy scalability. The proposed theory covers all types of energy-scalable oscillators: all-normal-dispersion fiber, chirped-pulse and thin-disk solid-state ones and is validated by numerical simulations.

© 2010 Optical Society of America

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  1. G. A. Mourou, T. Tajima, and S. V. Bulanov, “Optics in the relativistic regime,” Rev. Mod. Phys. 78, 309–371 (2006).
    [CrossRef]
  2. T. Südmeyer, S. V. Marchese, C. R. E. Baer, G. Gingras, B. Witzel, and U. Keller, “Femtosecond laser oscillators for high-field science,” Nat. Photonics 2, 599–604 (2008).
    [CrossRef]
  3. S. V. Marchese, C. R. E. Baer, A. G. Engqvist, S. Hashimoto, D. J. H. C. Maas, M. Golling, T. Südmeyer, and U. Keller, “Femtosecond thin disk laser oscillator with pulse energy beyond the 10-microjoule level,” Opt. Express 16, 6397–6407 (2008).
    [CrossRef] [PubMed]
  4. J. Neuhaus, D. Bauer, J. Zhang, A. Killi, J. Kleinbauer, M. Kumkar, S. Weiler, M. Guina, D. H. Sutter, and Th. Dekorsy, “Subpicosecond thin-disk laser oscillator with pulse energies of up to 25.9 microjoules by use of an active multipass geometry,” Opt. Express 16, 20530–20539 (2008).
    [CrossRef] [PubMed]
  5. G. Palmer, M. Schultze, M. Siegel, M. Emons, U. Bunting, and U. Morgner, “Passively mode-locked Yb:KLu(WO4)2 thin-disk oscillator operated in the positive and negative dispersion regime,” Opt. Lett. 33, 1608–1610 (2008).
    [CrossRef] [PubMed]
  6. A. Chong, J. Buckley, W. Renninger, and F. Wise, “All-normal-dispersion femtoseond fiber laser,” Opt. Express 14, 10095–10100 (2006).
    [CrossRef] [PubMed]
  7. S. Lefrancois, Kh. Kieu, Y. Deng, J. D. Kafka, and F. W. Wise, “Scaling of dissipative soliton fiber lasers to megawatt peak powers by use of large-area photonic crystal fiber,” Opt. Lett. 35, 1569–1571 (2010).
    [CrossRef] [PubMed]
  8. S. Naumov, A. Fernandez, R. Graf, P. Dombi, F. Krausz, and A. Apolonski, “Approaching the microjoule frontier with femtosecond laser oscillators,” N. J. Phys. 7, 216 (2005).
    [CrossRef]
  9. E. Sorokin, V. L. Kalashnikov, J. Mandon, G. Guelachvili, N. Picqué, and I. T. Sorokina, “Cr4+:YAG chirpedpulse oscillator,” N. J. Phys. 10, 083022 (2008).
    [CrossRef] [PubMed]
  10. Ch. Gohle, Th. Udem, M. Herrmann, J. Rauschenberger, R. Holzwarth, H. A. Schuessler, F. Krausz, and Th. W. Hänsch, “A frequency comb in the extreme ultraviolet,” Nature 436, 234–237 (2005).
    [CrossRef] [PubMed]
  11. Y. Liu, S. Tschuch, A. Rudenko, M. Durr, M. Siegel, U. Morgner, R. Moshammer, and J. Ullrich, “Strong-field double ionization of Ar below the recollision threshold,” Phys. Rev. Lett. 101, 053001 (2008).
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    [CrossRef]
  14. V. L. Kalashnikov, E. Podivilov, A. Chernykh, S. Naumov, A. Fernandez, R. Graf, and A. Apolonski, “Approaching the microjoule frontier with femtosecond laser oscillators. Theory and comparison with experiment,” N. J. Phys. 7, 217 (2005).
    [CrossRef]
  15. V. L. Kalashnikov, E. Podivilov, A. Chernykh, and A. Apolonski, “Chirped-pulse oscillators: theory and experiment,” Appl. Phys. B 83, 503–510 (2006).
    [CrossRef]
  16. W. H. Renninger, A. Chong, and F. W. Wise, “Dissipative solitons in normal-dispersion fiber lasers,” Phys. Rev. A 77, 023814 (2008).
    [CrossRef]
  17. W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonances,” Phys. Rev. A 78, 023830 (2008).
    [CrossRef]
  18. V. L. Kalashnikov, “The unified theory of chirped-pulse oscillators,” Proc. SPIE Nonlinear Opt. Appl. III, Vol. 7354, Mario Bertolotti, Ed., p. 73540T (also arXiv:0903.5396 physics.optics]) (2009).
  19. V. L. Kalashnikov, “Chirped dissipative solitons of the complex cubic-quintic nonlinear Ginzburg-Landau equation,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 80, 046606 (2009).
    [CrossRef]
  20. V. L. Kalashnikov, and A. Apolonski, “Chirped-pulse oscillators: A unified standpoint,” Phys. Rev. A 79, 043829 (2009).
    [CrossRef]
  21. W. Chang, J. M. Soto-Crespo, A. Ankiewicz, and N. Akhmediev, “Dissipative soliton resonances in the anomalous dispersion regime,” Phys. Rev. A 79, 033840 (2009).
    [CrossRef]
  22. Ph. Grelu, W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonance as a guideline for high-energy pulse laser oscillators,” J. Opt. Soc. Am. B 27, 2336–2341 (2010).
    [CrossRef]
  23. D. Anderson, M. Lisak, and A. Berntson, “A variational approach to nonlinear equations in optics,” Pramana J. Phys. 57, 917–936 (2001).
    [CrossRef]
  24. J. G. Caputo, N. Flytzanis, and M. P. Sørensen, “Ring laser configuration studied by collective coordinates,” J. Opt. Soc. Am. B 12, 139–145 (1995).
    [CrossRef]
  25. S. Ch. Cerda, S. B. Cavalvanti, and J. M. Hickmann, “A variational approach of nonlinear dissipative pulse propagation,” Eur. Phys. J. D 1, 313–316 (1998).
    [CrossRef]
  26. Ch. Jirauschek, and F. X. Kärtner, “Gaussian pulse dynamics in gain media with Kerr nonlinearity,” J. Opt. Soc. Am. B 23, 1776–1784 (2006).
    [CrossRef]
  27. C. Antonelli, J. Chen, and F. X. Kärtner, “Intracavity pulse dynamics and stability for passively mode-locked lasers,” Opt. Express 15, 5919–5924 (2007).
    [CrossRef] [PubMed]
  28. B. G. Bale, and J. N. Kutz, “Variational method for mode-locked lasers,” J. Opt. Soc. Am. B 25, 1193–1202 (2008).
    [CrossRef]
  29. N. N. Akhmediev, and A. Ankiewicz, Solitons: nonlinear pulses and beams (Chapman&Hall, London, 1997).
  30. B. G. Bale, J. N. Kutz, A. Chong, W. H. Renninger, and F. W. Wise, “Spectral filtering for high-energy modelocking in normal dispersion fiber lasers,” J. Opt. Soc. Am. B 25, 1763–1770 (2008).
    [CrossRef]
  31. B. G. Bale, S. Boscolo, and S. K. Turitsyn, “Dissipative dispersion-managed solitons in mode-locked lasers,” Opt. Lett. 34, 3286–3288 (2009).
    [CrossRef] [PubMed]
  32. H. A. Haus, “A theory of fast saturable absorber modelocking,” J. Appl. Phys. 46, 3049 (1975).
    [CrossRef]
  33. H. A. Haus, and Y. Silberberg, “Theory of mode locking of a laser diode with a multiple-quantum-well structure,” J. Opt. Soc. Am. B 2, 1237–1243 (1985).
    [CrossRef]
  34. The Wolfram Mathematica 7 notebook is accessible at http://info.tuwien.ac.at/kalashnikov/variational.html.
  35. K. E. Oughstun, Electromagmetic and Optical Pulse Propagation 1 (Springer, NY, 2006).
  36. R. Paschotta, “Noise of mode-locked lasers (Part II): timing jitter and other fluctuations,” Appl. Phys. B 79, 163–173 (2004).
  37. V. L. Kalashnikov, E. Sorokin, and I. T. Sorokina, “Multipulse operation and limits of the Kerr-lens mode locking stability,” IEEE J. Quantum Electron. 39, 323–336 (2003).
    [CrossRef]
  38. F. Krausz, M. E. Fermann, Th. Brabec, P. F. Curley, M. Hofer, M. H. Ober, Ch. Spielmann, E. Wintner, and A. J. Schmidt, “Femtosecond solid-state lasers,” IEEE J. Quantum Electron. 28, 2097–2122 (1992).
    [CrossRef]
  39. A. K. Komarov, and K. P. Komarov, “Pulse splitting in a passive mode-locked laser,” Opt. Commun. 183, 265–270 (2000).
    [CrossRef]
  40. S. Naumov, E. Sorokin, V. L. Kalashnikov, G. Tempea, and I. T. Sorokina, “Self-starting five optical cycle pulse generation in Cr4+:YAG laser,” Appl. Phys. B 76, 1–11 (2003).
    [CrossRef]
  41. V. L. Kalashnikov, E. Sorokin, and I. T. Sorokina, “Mechanisms of spectral shift in ultrashort-pulse laser oscillators,” J. Opt. Soc. Am. B 18, 1732–1741 (2001).
    [CrossRef]
  42. O. Katz, Y. Sintov, Y. Nafcha, and Y. Glick, “Passively mode-locked ytterbium fiber laser utilizing chirped-fiber-Bragg-gratings for dispersion control,” Opt. Commun. 269, 156–165 (2007).
    [CrossRef]
  43. A. Chong, W. H. Renninger, and F. W. Wise, “Properties of normal-dispersion femtosecond fiber lasers,” J. Opt. Soc. Am. B 25, 140–148 (2008).
    [CrossRef]
  44. S. Lefrancois, K. Kieu, Y. Deng, J. D. Kafka, and F. W. Wise, “Scaling of dissipative soliton fiber lasers to megawatt peak powers by use of large-area photonic crystal fiber,” Opt. Lett. 35, 1569–1571 (2010).
    [CrossRef] [PubMed]
  45. M. Siegel, G. Palmer, M. Emons, M. Schutze, A. Ruehl, and U. Morgner, “Pulsing dynamics in Ytterbium based chirped-pulse oscillators,” Opt. Express 16, 14314–14320 (2008).
    [CrossRef] [PubMed]

2010

S. Lefrancois, Kh. Kieu, Y. Deng, J. D. Kafka, and F. W. Wise, “Scaling of dissipative soliton fiber lasers to megawatt peak powers by use of large-area photonic crystal fiber,” Opt. Lett. 35, 1569–1571 (2010).
[CrossRef] [PubMed]

Ph. Grelu, W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonance as a guideline for high-energy pulse laser oscillators,” J. Opt. Soc. Am. B 27, 2336–2341 (2010).
[CrossRef]

S. Lefrancois, K. Kieu, Y. Deng, J. D. Kafka, and F. W. Wise, “Scaling of dissipative soliton fiber lasers to megawatt peak powers by use of large-area photonic crystal fiber,” Opt. Lett. 35, 1569–1571 (2010).
[CrossRef] [PubMed]

2009

B. G. Bale, S. Boscolo, and S. K. Turitsyn, “Dissipative dispersion-managed solitons in mode-locked lasers,” Opt. Lett. 34, 3286–3288 (2009).
[CrossRef] [PubMed]

V. L. Kalashnikov, “Chirped dissipative solitons of the complex cubic-quintic nonlinear Ginzburg-Landau equation,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 80, 046606 (2009).
[CrossRef]

V. L. Kalashnikov, and A. Apolonski, “Chirped-pulse oscillators: A unified standpoint,” Phys. Rev. A 79, 043829 (2009).
[CrossRef]

W. Chang, J. M. Soto-Crespo, A. Ankiewicz, and N. Akhmediev, “Dissipative soliton resonances in the anomalous dispersion regime,” Phys. Rev. A 79, 033840 (2009).
[CrossRef]

2008

W. H. Renninger, A. Chong, and F. W. Wise, “Dissipative solitons in normal-dispersion fiber lasers,” Phys. Rev. A 77, 023814 (2008).
[CrossRef]

W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonances,” Phys. Rev. A 78, 023830 (2008).
[CrossRef]

Y. Liu, S. Tschuch, A. Rudenko, M. Durr, M. Siegel, U. Morgner, R. Moshammer, and J. Ullrich, “Strong-field double ionization of Ar below the recollision threshold,” Phys. Rev. Lett. 101, 053001 (2008).
[CrossRef]

E. Sorokin, V. L. Kalashnikov, J. Mandon, G. Guelachvili, N. Picqué, and I. T. Sorokina, “Cr4+:YAG chirpedpulse oscillator,” N. J. Phys. 10, 083022 (2008).
[CrossRef] [PubMed]

T. Südmeyer, S. V. Marchese, C. R. E. Baer, G. Gingras, B. Witzel, and U. Keller, “Femtosecond laser oscillators for high-field science,” Nat. Photonics 2, 599–604 (2008).
[CrossRef]

S. V. Marchese, C. R. E. Baer, A. G. Engqvist, S. Hashimoto, D. J. H. C. Maas, M. Golling, T. Südmeyer, and U. Keller, “Femtosecond thin disk laser oscillator with pulse energy beyond the 10-microjoule level,” Opt. Express 16, 6397–6407 (2008).
[CrossRef] [PubMed]

J. Neuhaus, D. Bauer, J. Zhang, A. Killi, J. Kleinbauer, M. Kumkar, S. Weiler, M. Guina, D. H. Sutter, and Th. Dekorsy, “Subpicosecond thin-disk laser oscillator with pulse energies of up to 25.9 microjoules by use of an active multipass geometry,” Opt. Express 16, 20530–20539 (2008).
[CrossRef] [PubMed]

G. Palmer, M. Schultze, M. Siegel, M. Emons, U. Bunting, and U. Morgner, “Passively mode-locked Yb:KLu(WO4)2 thin-disk oscillator operated in the positive and negative dispersion regime,” Opt. Lett. 33, 1608–1610 (2008).
[CrossRef] [PubMed]

B. G. Bale, and J. N. Kutz, “Variational method for mode-locked lasers,” J. Opt. Soc. Am. B 25, 1193–1202 (2008).
[CrossRef]

B. G. Bale, J. N. Kutz, A. Chong, W. H. Renninger, and F. W. Wise, “Spectral filtering for high-energy modelocking in normal dispersion fiber lasers,” J. Opt. Soc. Am. B 25, 1763–1770 (2008).
[CrossRef]

M. Siegel, G. Palmer, M. Emons, M. Schutze, A. Ruehl, and U. Morgner, “Pulsing dynamics in Ytterbium based chirped-pulse oscillators,” Opt. Express 16, 14314–14320 (2008).
[CrossRef] [PubMed]

A. Chong, W. H. Renninger, and F. W. Wise, “Properties of normal-dispersion femtosecond fiber lasers,” J. Opt. Soc. Am. B 25, 140–148 (2008).
[CrossRef]

2007

C. Antonelli, J. Chen, and F. X. Kärtner, “Intracavity pulse dynamics and stability for passively mode-locked lasers,” Opt. Express 15, 5919–5924 (2007).
[CrossRef] [PubMed]

O. Katz, Y. Sintov, Y. Nafcha, and Y. Glick, “Passively mode-locked ytterbium fiber laser utilizing chirped-fiber-Bragg-gratings for dispersion control,” Opt. Commun. 269, 156–165 (2007).
[CrossRef]

2006

Ch. Jirauschek, and F. X. Kärtner, “Gaussian pulse dynamics in gain media with Kerr nonlinearity,” J. Opt. Soc. Am. B 23, 1776–1784 (2006).
[CrossRef]

A. Chong, J. Buckley, W. Renninger, and F. Wise, “All-normal-dispersion femtoseond fiber laser,” Opt. Express 14, 10095–10100 (2006).
[CrossRef] [PubMed]

G. A. Mourou, T. Tajima, and S. V. Bulanov, “Optics in the relativistic regime,” Rev. Mod. Phys. 78, 309–371 (2006).
[CrossRef]

V. L. Kalashnikov, E. Podivilov, A. Chernykh, and A. Apolonski, “Chirped-pulse oscillators: theory and experiment,” Appl. Phys. B 83, 503–510 (2006).
[CrossRef]

2005

E. Podivilov, and V. L. Kalashnikov, “Heavily-chirped solitary pulses in the normal dispersion region: new solutions of the cubic-quintic complex Ginzburg-Landau equation,” JETP Lett. 82, 467–471 (2005).
[CrossRef]

V. L. Kalashnikov, E. Podivilov, A. Chernykh, S. Naumov, A. Fernandez, R. Graf, and A. Apolonski, “Approaching the microjoule frontier with femtosecond laser oscillators. Theory and comparison with experiment,” N. J. Phys. 7, 217 (2005).
[CrossRef]

Ch. Gohle, Th. Udem, M. Herrmann, J. Rauschenberger, R. Holzwarth, H. A. Schuessler, F. Krausz, and Th. W. Hänsch, “A frequency comb in the extreme ultraviolet,” Nature 436, 234–237 (2005).
[CrossRef] [PubMed]

S. Naumov, A. Fernandez, R. Graf, P. Dombi, F. Krausz, and A. Apolonski, “Approaching the microjoule frontier with femtosecond laser oscillators,” N. J. Phys. 7, 216 (2005).
[CrossRef]

2004

R. Paschotta, “Noise of mode-locked lasers (Part II): timing jitter and other fluctuations,” Appl. Phys. B 79, 163–173 (2004).

2003

V. L. Kalashnikov, E. Sorokin, and I. T. Sorokina, “Multipulse operation and limits of the Kerr-lens mode locking stability,” IEEE J. Quantum Electron. 39, 323–336 (2003).
[CrossRef]

S. Naumov, E. Sorokin, V. L. Kalashnikov, G. Tempea, and I. T. Sorokina, “Self-starting five optical cycle pulse generation in Cr4+:YAG laser,” Appl. Phys. B 76, 1–11 (2003).
[CrossRef]

2001

V. L. Kalashnikov, E. Sorokin, and I. T. Sorokina, “Mechanisms of spectral shift in ultrashort-pulse laser oscillators,” J. Opt. Soc. Am. B 18, 1732–1741 (2001).
[CrossRef]

D. Anderson, M. Lisak, and A. Berntson, “A variational approach to nonlinear equations in optics,” Pramana J. Phys. 57, 917–936 (2001).
[CrossRef]

2000

A. K. Komarov, and K. P. Komarov, “Pulse splitting in a passive mode-locked laser,” Opt. Commun. 183, 265–270 (2000).
[CrossRef]

1998

S. Ch. Cerda, S. B. Cavalvanti, and J. M. Hickmann, “A variational approach of nonlinear dissipative pulse propagation,” Eur. Phys. J. D 1, 313–316 (1998).
[CrossRef]

1995

J. G. Caputo, N. Flytzanis, and M. P. Sørensen, “Ring laser configuration studied by collective coordinates,” J. Opt. Soc. Am. B 12, 139–145 (1995).
[CrossRef]

1992

F. Krausz, M. E. Fermann, Th. Brabec, P. F. Curley, M. Hofer, M. H. Ober, Ch. Spielmann, E. Wintner, and A. J. Schmidt, “Femtosecond solid-state lasers,” IEEE J. Quantum Electron. 28, 2097–2122 (1992).
[CrossRef]

1985

H. A. Haus, and Y. Silberberg, “Theory of mode locking of a laser diode with a multiple-quantum-well structure,” J. Opt. Soc. Am. B 2, 1237–1243 (1985).
[CrossRef]

1975

H. A. Haus, “A theory of fast saturable absorber modelocking,” J. Appl. Phys. 46, 3049 (1975).
[CrossRef]

Akhmediev, N.

Ph. Grelu, W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonance as a guideline for high-energy pulse laser oscillators,” J. Opt. Soc. Am. B 27, 2336–2341 (2010).
[CrossRef]

W. Chang, J. M. Soto-Crespo, A. Ankiewicz, and N. Akhmediev, “Dissipative soliton resonances in the anomalous dispersion regime,” Phys. Rev. A 79, 033840 (2009).
[CrossRef]

W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonances,” Phys. Rev. A 78, 023830 (2008).
[CrossRef]

Anderson, D.

D. Anderson, M. Lisak, and A. Berntson, “A variational approach to nonlinear equations in optics,” Pramana J. Phys. 57, 917–936 (2001).
[CrossRef]

Ankiewicz, A.

Ph. Grelu, W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonance as a guideline for high-energy pulse laser oscillators,” J. Opt. Soc. Am. B 27, 2336–2341 (2010).
[CrossRef]

W. Chang, J. M. Soto-Crespo, A. Ankiewicz, and N. Akhmediev, “Dissipative soliton resonances in the anomalous dispersion regime,” Phys. Rev. A 79, 033840 (2009).
[CrossRef]

W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonances,” Phys. Rev. A 78, 023830 (2008).
[CrossRef]

Antonelli, C.

C. Antonelli, J. Chen, and F. X. Kärtner, “Intracavity pulse dynamics and stability for passively mode-locked lasers,” Opt. Express 15, 5919–5924 (2007).
[CrossRef] [PubMed]

Apolonski, A.

V. L. Kalashnikov, and A. Apolonski, “Chirped-pulse oscillators: A unified standpoint,” Phys. Rev. A 79, 043829 (2009).
[CrossRef]

V. L. Kalashnikov, E. Podivilov, A. Chernykh, and A. Apolonski, “Chirped-pulse oscillators: theory and experiment,” Appl. Phys. B 83, 503–510 (2006).
[CrossRef]

V. L. Kalashnikov, E. Podivilov, A. Chernykh, S. Naumov, A. Fernandez, R. Graf, and A. Apolonski, “Approaching the microjoule frontier with femtosecond laser oscillators. Theory and comparison with experiment,” N. J. Phys. 7, 217 (2005).
[CrossRef]

S. Naumov, A. Fernandez, R. Graf, P. Dombi, F. Krausz, and A. Apolonski, “Approaching the microjoule frontier with femtosecond laser oscillators,” N. J. Phys. 7, 216 (2005).
[CrossRef]

Baer, C. R. E.

T. Südmeyer, S. V. Marchese, C. R. E. Baer, G. Gingras, B. Witzel, and U. Keller, “Femtosecond laser oscillators for high-field science,” Nat. Photonics 2, 599–604 (2008).
[CrossRef]

S. V. Marchese, C. R. E. Baer, A. G. Engqvist, S. Hashimoto, D. J. H. C. Maas, M. Golling, T. Südmeyer, and U. Keller, “Femtosecond thin disk laser oscillator with pulse energy beyond the 10-microjoule level,” Opt. Express 16, 6397–6407 (2008).
[CrossRef] [PubMed]

Bale, B. G.

B. G. Bale, S. Boscolo, and S. K. Turitsyn, “Dissipative dispersion-managed solitons in mode-locked lasers,” Opt. Lett. 34, 3286–3288 (2009).
[CrossRef] [PubMed]

B. G. Bale, and J. N. Kutz, “Variational method for mode-locked lasers,” J. Opt. Soc. Am. B 25, 1193–1202 (2008).
[CrossRef]

B. G. Bale, J. N. Kutz, A. Chong, W. H. Renninger, and F. W. Wise, “Spectral filtering for high-energy modelocking in normal dispersion fiber lasers,” J. Opt. Soc. Am. B 25, 1763–1770 (2008).
[CrossRef]

Bauer, D.

J. Neuhaus, D. Bauer, J. Zhang, A. Killi, J. Kleinbauer, M. Kumkar, S. Weiler, M. Guina, D. H. Sutter, and Th. Dekorsy, “Subpicosecond thin-disk laser oscillator with pulse energies of up to 25.9 microjoules by use of an active multipass geometry,” Opt. Express 16, 20530–20539 (2008).
[CrossRef] [PubMed]

Berntson, A.

D. Anderson, M. Lisak, and A. Berntson, “A variational approach to nonlinear equations in optics,” Pramana J. Phys. 57, 917–936 (2001).
[CrossRef]

Boscolo, S.

B. G. Bale, S. Boscolo, and S. K. Turitsyn, “Dissipative dispersion-managed solitons in mode-locked lasers,” Opt. Lett. 34, 3286–3288 (2009).
[CrossRef] [PubMed]

Brabec, Th.

F. Krausz, M. E. Fermann, Th. Brabec, P. F. Curley, M. Hofer, M. H. Ober, Ch. Spielmann, E. Wintner, and A. J. Schmidt, “Femtosecond solid-state lasers,” IEEE J. Quantum Electron. 28, 2097–2122 (1992).
[CrossRef]

Buckley, J.

A. Chong, J. Buckley, W. Renninger, and F. Wise, “All-normal-dispersion femtoseond fiber laser,” Opt. Express 14, 10095–10100 (2006).
[CrossRef] [PubMed]

Bulanov, S. V.

G. A. Mourou, T. Tajima, and S. V. Bulanov, “Optics in the relativistic regime,” Rev. Mod. Phys. 78, 309–371 (2006).
[CrossRef]

Bunting, U.

G. Palmer, M. Schultze, M. Siegel, M. Emons, U. Bunting, and U. Morgner, “Passively mode-locked Yb:KLu(WO4)2 thin-disk oscillator operated in the positive and negative dispersion regime,” Opt. Lett. 33, 1608–1610 (2008).
[CrossRef] [PubMed]

Caputo, J. G.

J. G. Caputo, N. Flytzanis, and M. P. Sørensen, “Ring laser configuration studied by collective coordinates,” J. Opt. Soc. Am. B 12, 139–145 (1995).
[CrossRef]

Cavalvanti, S. B.

S. Ch. Cerda, S. B. Cavalvanti, and J. M. Hickmann, “A variational approach of nonlinear dissipative pulse propagation,” Eur. Phys. J. D 1, 313–316 (1998).
[CrossRef]

Cerda, S. Ch.

S. Ch. Cerda, S. B. Cavalvanti, and J. M. Hickmann, “A variational approach of nonlinear dissipative pulse propagation,” Eur. Phys. J. D 1, 313–316 (1998).
[CrossRef]

Chang, W.

Ph. Grelu, W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonance as a guideline for high-energy pulse laser oscillators,” J. Opt. Soc. Am. B 27, 2336–2341 (2010).
[CrossRef]

W. Chang, J. M. Soto-Crespo, A. Ankiewicz, and N. Akhmediev, “Dissipative soliton resonances in the anomalous dispersion regime,” Phys. Rev. A 79, 033840 (2009).
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W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonances,” Phys. Rev. A 78, 023830 (2008).
[CrossRef]

Chen, J.

C. Antonelli, J. Chen, and F. X. Kärtner, “Intracavity pulse dynamics and stability for passively mode-locked lasers,” Opt. Express 15, 5919–5924 (2007).
[CrossRef] [PubMed]

Chernykh, A.

V. L. Kalashnikov, E. Podivilov, A. Chernykh, and A. Apolonski, “Chirped-pulse oscillators: theory and experiment,” Appl. Phys. B 83, 503–510 (2006).
[CrossRef]

V. L. Kalashnikov, E. Podivilov, A. Chernykh, S. Naumov, A. Fernandez, R. Graf, and A. Apolonski, “Approaching the microjoule frontier with femtosecond laser oscillators. Theory and comparison with experiment,” N. J. Phys. 7, 217 (2005).
[CrossRef]

Chong, A.

W. H. Renninger, A. Chong, and F. W. Wise, “Dissipative solitons in normal-dispersion fiber lasers,” Phys. Rev. A 77, 023814 (2008).
[CrossRef]

B. G. Bale, J. N. Kutz, A. Chong, W. H. Renninger, and F. W. Wise, “Spectral filtering for high-energy modelocking in normal dispersion fiber lasers,” J. Opt. Soc. Am. B 25, 1763–1770 (2008).
[CrossRef]

A. Chong, W. H. Renninger, and F. W. Wise, “Properties of normal-dispersion femtosecond fiber lasers,” J. Opt. Soc. Am. B 25, 140–148 (2008).
[CrossRef]

A. Chong, J. Buckley, W. Renninger, and F. Wise, “All-normal-dispersion femtoseond fiber laser,” Opt. Express 14, 10095–10100 (2006).
[CrossRef] [PubMed]

Curley, P. F.

F. Krausz, M. E. Fermann, Th. Brabec, P. F. Curley, M. Hofer, M. H. Ober, Ch. Spielmann, E. Wintner, and A. J. Schmidt, “Femtosecond solid-state lasers,” IEEE J. Quantum Electron. 28, 2097–2122 (1992).
[CrossRef]

Dekorsy, Th.

J. Neuhaus, D. Bauer, J. Zhang, A. Killi, J. Kleinbauer, M. Kumkar, S. Weiler, M. Guina, D. H. Sutter, and Th. Dekorsy, “Subpicosecond thin-disk laser oscillator with pulse energies of up to 25.9 microjoules by use of an active multipass geometry,” Opt. Express 16, 20530–20539 (2008).
[CrossRef] [PubMed]

Deng, Y.

S. Lefrancois, Kh. Kieu, Y. Deng, J. D. Kafka, and F. W. Wise, “Scaling of dissipative soliton fiber lasers to megawatt peak powers by use of large-area photonic crystal fiber,” Opt. Lett. 35, 1569–1571 (2010).
[CrossRef] [PubMed]

S. Lefrancois, K. Kieu, Y. Deng, J. D. Kafka, and F. W. Wise, “Scaling of dissipative soliton fiber lasers to megawatt peak powers by use of large-area photonic crystal fiber,” Opt. Lett. 35, 1569–1571 (2010).
[CrossRef] [PubMed]

Dombi, P.

S. Naumov, A. Fernandez, R. Graf, P. Dombi, F. Krausz, and A. Apolonski, “Approaching the microjoule frontier with femtosecond laser oscillators,” N. J. Phys. 7, 216 (2005).
[CrossRef]

Durr, M.

Y. Liu, S. Tschuch, A. Rudenko, M. Durr, M. Siegel, U. Morgner, R. Moshammer, and J. Ullrich, “Strong-field double ionization of Ar below the recollision threshold,” Phys. Rev. Lett. 101, 053001 (2008).
[CrossRef]

Emons, M.

G. Palmer, M. Schultze, M. Siegel, M. Emons, U. Bunting, and U. Morgner, “Passively mode-locked Yb:KLu(WO4)2 thin-disk oscillator operated in the positive and negative dispersion regime,” Opt. Lett. 33, 1608–1610 (2008).
[CrossRef] [PubMed]

M. Siegel, G. Palmer, M. Emons, M. Schutze, A. Ruehl, and U. Morgner, “Pulsing dynamics in Ytterbium based chirped-pulse oscillators,” Opt. Express 16, 14314–14320 (2008).
[CrossRef] [PubMed]

Engqvist, A. G.

S. V. Marchese, C. R. E. Baer, A. G. Engqvist, S. Hashimoto, D. J. H. C. Maas, M. Golling, T. Südmeyer, and U. Keller, “Femtosecond thin disk laser oscillator with pulse energy beyond the 10-microjoule level,” Opt. Express 16, 6397–6407 (2008).
[CrossRef] [PubMed]

Fermann, M. E.

F. Krausz, M. E. Fermann, Th. Brabec, P. F. Curley, M. Hofer, M. H. Ober, Ch. Spielmann, E. Wintner, and A. J. Schmidt, “Femtosecond solid-state lasers,” IEEE J. Quantum Electron. 28, 2097–2122 (1992).
[CrossRef]

Fernandez, A.

V. L. Kalashnikov, E. Podivilov, A. Chernykh, S. Naumov, A. Fernandez, R. Graf, and A. Apolonski, “Approaching the microjoule frontier with femtosecond laser oscillators. Theory and comparison with experiment,” N. J. Phys. 7, 217 (2005).
[CrossRef]

S. Naumov, A. Fernandez, R. Graf, P. Dombi, F. Krausz, and A. Apolonski, “Approaching the microjoule frontier with femtosecond laser oscillators,” N. J. Phys. 7, 216 (2005).
[CrossRef]

Flytzanis, N.

J. G. Caputo, N. Flytzanis, and M. P. Sørensen, “Ring laser configuration studied by collective coordinates,” J. Opt. Soc. Am. B 12, 139–145 (1995).
[CrossRef]

Gingras, G.

T. Südmeyer, S. V. Marchese, C. R. E. Baer, G. Gingras, B. Witzel, and U. Keller, “Femtosecond laser oscillators for high-field science,” Nat. Photonics 2, 599–604 (2008).
[CrossRef]

Glick, Y.

O. Katz, Y. Sintov, Y. Nafcha, and Y. Glick, “Passively mode-locked ytterbium fiber laser utilizing chirped-fiber-Bragg-gratings for dispersion control,” Opt. Commun. 269, 156–165 (2007).
[CrossRef]

Gohle, Ch.

Ch. Gohle, Th. Udem, M. Herrmann, J. Rauschenberger, R. Holzwarth, H. A. Schuessler, F. Krausz, and Th. W. Hänsch, “A frequency comb in the extreme ultraviolet,” Nature 436, 234–237 (2005).
[CrossRef] [PubMed]

Golling, M.

S. V. Marchese, C. R. E. Baer, A. G. Engqvist, S. Hashimoto, D. J. H. C. Maas, M. Golling, T. Südmeyer, and U. Keller, “Femtosecond thin disk laser oscillator with pulse energy beyond the 10-microjoule level,” Opt. Express 16, 6397–6407 (2008).
[CrossRef] [PubMed]

Graf, R.

S. Naumov, A. Fernandez, R. Graf, P. Dombi, F. Krausz, and A. Apolonski, “Approaching the microjoule frontier with femtosecond laser oscillators,” N. J. Phys. 7, 216 (2005).
[CrossRef]

V. L. Kalashnikov, E. Podivilov, A. Chernykh, S. Naumov, A. Fernandez, R. Graf, and A. Apolonski, “Approaching the microjoule frontier with femtosecond laser oscillators. Theory and comparison with experiment,” N. J. Phys. 7, 217 (2005).
[CrossRef]

Grelu, Ph.

Ph. Grelu, W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonance as a guideline for high-energy pulse laser oscillators,” J. Opt. Soc. Am. B 27, 2336–2341 (2010).
[CrossRef]

Guelachvili, G.

E. Sorokin, V. L. Kalashnikov, J. Mandon, G. Guelachvili, N. Picqué, and I. T. Sorokina, “Cr4+:YAG chirpedpulse oscillator,” N. J. Phys. 10, 083022 (2008).
[CrossRef] [PubMed]

Guina, M.

J. Neuhaus, D. Bauer, J. Zhang, A. Killi, J. Kleinbauer, M. Kumkar, S. Weiler, M. Guina, D. H. Sutter, and Th. Dekorsy, “Subpicosecond thin-disk laser oscillator with pulse energies of up to 25.9 microjoules by use of an active multipass geometry,” Opt. Express 16, 20530–20539 (2008).
[CrossRef] [PubMed]

Hänsch, Th. W.

Ch. Gohle, Th. Udem, M. Herrmann, J. Rauschenberger, R. Holzwarth, H. A. Schuessler, F. Krausz, and Th. W. Hänsch, “A frequency comb in the extreme ultraviolet,” Nature 436, 234–237 (2005).
[CrossRef] [PubMed]

Hashimoto, S.

S. V. Marchese, C. R. E. Baer, A. G. Engqvist, S. Hashimoto, D. J. H. C. Maas, M. Golling, T. Südmeyer, and U. Keller, “Femtosecond thin disk laser oscillator with pulse energy beyond the 10-microjoule level,” Opt. Express 16, 6397–6407 (2008).
[CrossRef] [PubMed]

Haus, H. A.

H. A. Haus, and Y. Silberberg, “Theory of mode locking of a laser diode with a multiple-quantum-well structure,” J. Opt. Soc. Am. B 2, 1237–1243 (1985).
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H. A. Haus, “A theory of fast saturable absorber modelocking,” J. Appl. Phys. 46, 3049 (1975).
[CrossRef]

Herrmann, M.

Ch. Gohle, Th. Udem, M. Herrmann, J. Rauschenberger, R. Holzwarth, H. A. Schuessler, F. Krausz, and Th. W. Hänsch, “A frequency comb in the extreme ultraviolet,” Nature 436, 234–237 (2005).
[CrossRef] [PubMed]

Hickmann, J. M.

S. Ch. Cerda, S. B. Cavalvanti, and J. M. Hickmann, “A variational approach of nonlinear dissipative pulse propagation,” Eur. Phys. J. D 1, 313–316 (1998).
[CrossRef]

Hofer, M.

F. Krausz, M. E. Fermann, Th. Brabec, P. F. Curley, M. Hofer, M. H. Ober, Ch. Spielmann, E. Wintner, and A. J. Schmidt, “Femtosecond solid-state lasers,” IEEE J. Quantum Electron. 28, 2097–2122 (1992).
[CrossRef]

Holzwarth, R.

Ch. Gohle, Th. Udem, M. Herrmann, J. Rauschenberger, R. Holzwarth, H. A. Schuessler, F. Krausz, and Th. W. Hänsch, “A frequency comb in the extreme ultraviolet,” Nature 436, 234–237 (2005).
[CrossRef] [PubMed]

Jirauschek, Ch.

Ch. Jirauschek, and F. X. Kärtner, “Gaussian pulse dynamics in gain media with Kerr nonlinearity,” J. Opt. Soc. Am. B 23, 1776–1784 (2006).
[CrossRef]

Kafka, J. D.

S. Lefrancois, Kh. Kieu, Y. Deng, J. D. Kafka, and F. W. Wise, “Scaling of dissipative soliton fiber lasers to megawatt peak powers by use of large-area photonic crystal fiber,” Opt. Lett. 35, 1569–1571 (2010).
[CrossRef] [PubMed]

S. Lefrancois, K. Kieu, Y. Deng, J. D. Kafka, and F. W. Wise, “Scaling of dissipative soliton fiber lasers to megawatt peak powers by use of large-area photonic crystal fiber,” Opt. Lett. 35, 1569–1571 (2010).
[CrossRef] [PubMed]

Kalashnikov, V. L.

V. L. Kalashnikov, “Chirped dissipative solitons of the complex cubic-quintic nonlinear Ginzburg-Landau equation,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 80, 046606 (2009).
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V. L. Kalashnikov, and A. Apolonski, “Chirped-pulse oscillators: A unified standpoint,” Phys. Rev. A 79, 043829 (2009).
[CrossRef]

E. Sorokin, V. L. Kalashnikov, J. Mandon, G. Guelachvili, N. Picqué, and I. T. Sorokina, “Cr4+:YAG chirpedpulse oscillator,” N. J. Phys. 10, 083022 (2008).
[CrossRef] [PubMed]

V. L. Kalashnikov, E. Podivilov, A. Chernykh, and A. Apolonski, “Chirped-pulse oscillators: theory and experiment,” Appl. Phys. B 83, 503–510 (2006).
[CrossRef]

E. Podivilov, and V. L. Kalashnikov, “Heavily-chirped solitary pulses in the normal dispersion region: new solutions of the cubic-quintic complex Ginzburg-Landau equation,” JETP Lett. 82, 467–471 (2005).
[CrossRef]

V. L. Kalashnikov, E. Podivilov, A. Chernykh, S. Naumov, A. Fernandez, R. Graf, and A. Apolonski, “Approaching the microjoule frontier with femtosecond laser oscillators. Theory and comparison with experiment,” N. J. Phys. 7, 217 (2005).
[CrossRef]

V. L. Kalashnikov, E. Sorokin, and I. T. Sorokina, “Multipulse operation and limits of the Kerr-lens mode locking stability,” IEEE J. Quantum Electron. 39, 323–336 (2003).
[CrossRef]

S. Naumov, E. Sorokin, V. L. Kalashnikov, G. Tempea, and I. T. Sorokina, “Self-starting five optical cycle pulse generation in Cr4+:YAG laser,” Appl. Phys. B 76, 1–11 (2003).
[CrossRef]

V. L. Kalashnikov, E. Sorokin, and I. T. Sorokina, “Mechanisms of spectral shift in ultrashort-pulse laser oscillators,” J. Opt. Soc. Am. B 18, 1732–1741 (2001).
[CrossRef]

Kärtner, F. X.

C. Antonelli, J. Chen, and F. X. Kärtner, “Intracavity pulse dynamics and stability for passively mode-locked lasers,” Opt. Express 15, 5919–5924 (2007).
[CrossRef] [PubMed]

Ch. Jirauschek, and F. X. Kärtner, “Gaussian pulse dynamics in gain media with Kerr nonlinearity,” J. Opt. Soc. Am. B 23, 1776–1784 (2006).
[CrossRef]

Katz, O.

O. Katz, Y. Sintov, Y. Nafcha, and Y. Glick, “Passively mode-locked ytterbium fiber laser utilizing chirped-fiber-Bragg-gratings for dispersion control,” Opt. Commun. 269, 156–165 (2007).
[CrossRef]

Keller, U.

S. V. Marchese, C. R. E. Baer, A. G. Engqvist, S. Hashimoto, D. J. H. C. Maas, M. Golling, T. Südmeyer, and U. Keller, “Femtosecond thin disk laser oscillator with pulse energy beyond the 10-microjoule level,” Opt. Express 16, 6397–6407 (2008).
[CrossRef] [PubMed]

T. Südmeyer, S. V. Marchese, C. R. E. Baer, G. Gingras, B. Witzel, and U. Keller, “Femtosecond laser oscillators for high-field science,” Nat. Photonics 2, 599–604 (2008).
[CrossRef]

Kieu, K.

S. Lefrancois, K. Kieu, Y. Deng, J. D. Kafka, and F. W. Wise, “Scaling of dissipative soliton fiber lasers to megawatt peak powers by use of large-area photonic crystal fiber,” Opt. Lett. 35, 1569–1571 (2010).
[CrossRef] [PubMed]

Kieu, Kh.

S. Lefrancois, Kh. Kieu, Y. Deng, J. D. Kafka, and F. W. Wise, “Scaling of dissipative soliton fiber lasers to megawatt peak powers by use of large-area photonic crystal fiber,” Opt. Lett. 35, 1569–1571 (2010).
[CrossRef] [PubMed]

Killi, A.

J. Neuhaus, D. Bauer, J. Zhang, A. Killi, J. Kleinbauer, M. Kumkar, S. Weiler, M. Guina, D. H. Sutter, and Th. Dekorsy, “Subpicosecond thin-disk laser oscillator with pulse energies of up to 25.9 microjoules by use of an active multipass geometry,” Opt. Express 16, 20530–20539 (2008).
[CrossRef] [PubMed]

Kleinbauer, J.

J. Neuhaus, D. Bauer, J. Zhang, A. Killi, J. Kleinbauer, M. Kumkar, S. Weiler, M. Guina, D. H. Sutter, and Th. Dekorsy, “Subpicosecond thin-disk laser oscillator with pulse energies of up to 25.9 microjoules by use of an active multipass geometry,” Opt. Express 16, 20530–20539 (2008).
[CrossRef] [PubMed]

Komarov, A. K.

A. K. Komarov, and K. P. Komarov, “Pulse splitting in a passive mode-locked laser,” Opt. Commun. 183, 265–270 (2000).
[CrossRef]

Komarov, K. P.

A. K. Komarov, and K. P. Komarov, “Pulse splitting in a passive mode-locked laser,” Opt. Commun. 183, 265–270 (2000).
[CrossRef]

Krausz, F.

S. Naumov, A. Fernandez, R. Graf, P. Dombi, F. Krausz, and A. Apolonski, “Approaching the microjoule frontier with femtosecond laser oscillators,” N. J. Phys. 7, 216 (2005).
[CrossRef]

Ch. Gohle, Th. Udem, M. Herrmann, J. Rauschenberger, R. Holzwarth, H. A. Schuessler, F. Krausz, and Th. W. Hänsch, “A frequency comb in the extreme ultraviolet,” Nature 436, 234–237 (2005).
[CrossRef] [PubMed]

F. Krausz, M. E. Fermann, Th. Brabec, P. F. Curley, M. Hofer, M. H. Ober, Ch. Spielmann, E. Wintner, and A. J. Schmidt, “Femtosecond solid-state lasers,” IEEE J. Quantum Electron. 28, 2097–2122 (1992).
[CrossRef]

Kumkar, M.

J. Neuhaus, D. Bauer, J. Zhang, A. Killi, J. Kleinbauer, M. Kumkar, S. Weiler, M. Guina, D. H. Sutter, and Th. Dekorsy, “Subpicosecond thin-disk laser oscillator with pulse energies of up to 25.9 microjoules by use of an active multipass geometry,” Opt. Express 16, 20530–20539 (2008).
[CrossRef] [PubMed]

Kutz, J. N.

B. G. Bale, J. N. Kutz, A. Chong, W. H. Renninger, and F. W. Wise, “Spectral filtering for high-energy modelocking in normal dispersion fiber lasers,” J. Opt. Soc. Am. B 25, 1763–1770 (2008).
[CrossRef]

B. G. Bale, and J. N. Kutz, “Variational method for mode-locked lasers,” J. Opt. Soc. Am. B 25, 1193–1202 (2008).
[CrossRef]

Lefrancois, S.

S. Lefrancois, Kh. Kieu, Y. Deng, J. D. Kafka, and F. W. Wise, “Scaling of dissipative soliton fiber lasers to megawatt peak powers by use of large-area photonic crystal fiber,” Opt. Lett. 35, 1569–1571 (2010).
[CrossRef] [PubMed]

S. Lefrancois, K. Kieu, Y. Deng, J. D. Kafka, and F. W. Wise, “Scaling of dissipative soliton fiber lasers to megawatt peak powers by use of large-area photonic crystal fiber,” Opt. Lett. 35, 1569–1571 (2010).
[CrossRef] [PubMed]

Lisak, M.

D. Anderson, M. Lisak, and A. Berntson, “A variational approach to nonlinear equations in optics,” Pramana J. Phys. 57, 917–936 (2001).
[CrossRef]

Liu, Y.

Y. Liu, S. Tschuch, A. Rudenko, M. Durr, M. Siegel, U. Morgner, R. Moshammer, and J. Ullrich, “Strong-field double ionization of Ar below the recollision threshold,” Phys. Rev. Lett. 101, 053001 (2008).
[CrossRef]

Maas, D. J. H. C.

S. V. Marchese, C. R. E. Baer, A. G. Engqvist, S. Hashimoto, D. J. H. C. Maas, M. Golling, T. Südmeyer, and U. Keller, “Femtosecond thin disk laser oscillator with pulse energy beyond the 10-microjoule level,” Opt. Express 16, 6397–6407 (2008).
[CrossRef] [PubMed]

Mandon, J.

E. Sorokin, V. L. Kalashnikov, J. Mandon, G. Guelachvili, N. Picqué, and I. T. Sorokina, “Cr4+:YAG chirpedpulse oscillator,” N. J. Phys. 10, 083022 (2008).
[CrossRef] [PubMed]

Marchese, S. V.

S. V. Marchese, C. R. E. Baer, A. G. Engqvist, S. Hashimoto, D. J. H. C. Maas, M. Golling, T. Südmeyer, and U. Keller, “Femtosecond thin disk laser oscillator with pulse energy beyond the 10-microjoule level,” Opt. Express 16, 6397–6407 (2008).
[CrossRef] [PubMed]

T. Südmeyer, S. V. Marchese, C. R. E. Baer, G. Gingras, B. Witzel, and U. Keller, “Femtosecond laser oscillators for high-field science,” Nat. Photonics 2, 599–604 (2008).
[CrossRef]

Morgner, U.

G. Palmer, M. Schultze, M. Siegel, M. Emons, U. Bunting, and U. Morgner, “Passively mode-locked Yb:KLu(WO4)2 thin-disk oscillator operated in the positive and negative dispersion regime,” Opt. Lett. 33, 1608–1610 (2008).
[CrossRef] [PubMed]

Y. Liu, S. Tschuch, A. Rudenko, M. Durr, M. Siegel, U. Morgner, R. Moshammer, and J. Ullrich, “Strong-field double ionization of Ar below the recollision threshold,” Phys. Rev. Lett. 101, 053001 (2008).
[CrossRef]

M. Siegel, G. Palmer, M. Emons, M. Schutze, A. Ruehl, and U. Morgner, “Pulsing dynamics in Ytterbium based chirped-pulse oscillators,” Opt. Express 16, 14314–14320 (2008).
[CrossRef] [PubMed]

Moshammer, R.

Y. Liu, S. Tschuch, A. Rudenko, M. Durr, M. Siegel, U. Morgner, R. Moshammer, and J. Ullrich, “Strong-field double ionization of Ar below the recollision threshold,” Phys. Rev. Lett. 101, 053001 (2008).
[CrossRef]

Mourou, G. A.

G. A. Mourou, T. Tajima, and S. V. Bulanov, “Optics in the relativistic regime,” Rev. Mod. Phys. 78, 309–371 (2006).
[CrossRef]

Nafcha, Y.

O. Katz, Y. Sintov, Y. Nafcha, and Y. Glick, “Passively mode-locked ytterbium fiber laser utilizing chirped-fiber-Bragg-gratings for dispersion control,” Opt. Commun. 269, 156–165 (2007).
[CrossRef]

Naumov, S.

S. Naumov, A. Fernandez, R. Graf, P. Dombi, F. Krausz, and A. Apolonski, “Approaching the microjoule frontier with femtosecond laser oscillators,” N. J. Phys. 7, 216 (2005).
[CrossRef]

V. L. Kalashnikov, E. Podivilov, A. Chernykh, S. Naumov, A. Fernandez, R. Graf, and A. Apolonski, “Approaching the microjoule frontier with femtosecond laser oscillators. Theory and comparison with experiment,” N. J. Phys. 7, 217 (2005).
[CrossRef]

S. Naumov, E. Sorokin, V. L. Kalashnikov, G. Tempea, and I. T. Sorokina, “Self-starting five optical cycle pulse generation in Cr4+:YAG laser,” Appl. Phys. B 76, 1–11 (2003).
[CrossRef]

Neuhaus, J.

J. Neuhaus, D. Bauer, J. Zhang, A. Killi, J. Kleinbauer, M. Kumkar, S. Weiler, M. Guina, D. H. Sutter, and Th. Dekorsy, “Subpicosecond thin-disk laser oscillator with pulse energies of up to 25.9 microjoules by use of an active multipass geometry,” Opt. Express 16, 20530–20539 (2008).
[CrossRef] [PubMed]

Ober, M. H.

F. Krausz, M. E. Fermann, Th. Brabec, P. F. Curley, M. Hofer, M. H. Ober, Ch. Spielmann, E. Wintner, and A. J. Schmidt, “Femtosecond solid-state lasers,” IEEE J. Quantum Electron. 28, 2097–2122 (1992).
[CrossRef]

Palmer, G.

G. Palmer, M. Schultze, M. Siegel, M. Emons, U. Bunting, and U. Morgner, “Passively mode-locked Yb:KLu(WO4)2 thin-disk oscillator operated in the positive and negative dispersion regime,” Opt. Lett. 33, 1608–1610 (2008).
[CrossRef] [PubMed]

M. Siegel, G. Palmer, M. Emons, M. Schutze, A. Ruehl, and U. Morgner, “Pulsing dynamics in Ytterbium based chirped-pulse oscillators,” Opt. Express 16, 14314–14320 (2008).
[CrossRef] [PubMed]

Paschotta, R.

R. Paschotta, “Noise of mode-locked lasers (Part II): timing jitter and other fluctuations,” Appl. Phys. B 79, 163–173 (2004).

Picqué, N.

E. Sorokin, V. L. Kalashnikov, J. Mandon, G. Guelachvili, N. Picqué, and I. T. Sorokina, “Cr4+:YAG chirpedpulse oscillator,” N. J. Phys. 10, 083022 (2008).
[CrossRef] [PubMed]

Podivilov, E.

V. L. Kalashnikov, E. Podivilov, A. Chernykh, and A. Apolonski, “Chirped-pulse oscillators: theory and experiment,” Appl. Phys. B 83, 503–510 (2006).
[CrossRef]

V. L. Kalashnikov, E. Podivilov, A. Chernykh, S. Naumov, A. Fernandez, R. Graf, and A. Apolonski, “Approaching the microjoule frontier with femtosecond laser oscillators. Theory and comparison with experiment,” N. J. Phys. 7, 217 (2005).
[CrossRef]

E. Podivilov, and V. L. Kalashnikov, “Heavily-chirped solitary pulses in the normal dispersion region: new solutions of the cubic-quintic complex Ginzburg-Landau equation,” JETP Lett. 82, 467–471 (2005).
[CrossRef]

Rauschenberger, J.

Ch. Gohle, Th. Udem, M. Herrmann, J. Rauschenberger, R. Holzwarth, H. A. Schuessler, F. Krausz, and Th. W. Hänsch, “A frequency comb in the extreme ultraviolet,” Nature 436, 234–237 (2005).
[CrossRef] [PubMed]

Renninger, W.

A. Chong, J. Buckley, W. Renninger, and F. Wise, “All-normal-dispersion femtoseond fiber laser,” Opt. Express 14, 10095–10100 (2006).
[CrossRef] [PubMed]

Renninger, W. H.

W. H. Renninger, A. Chong, and F. W. Wise, “Dissipative solitons in normal-dispersion fiber lasers,” Phys. Rev. A 77, 023814 (2008).
[CrossRef]

B. G. Bale, J. N. Kutz, A. Chong, W. H. Renninger, and F. W. Wise, “Spectral filtering for high-energy modelocking in normal dispersion fiber lasers,” J. Opt. Soc. Am. B 25, 1763–1770 (2008).
[CrossRef]

A. Chong, W. H. Renninger, and F. W. Wise, “Properties of normal-dispersion femtosecond fiber lasers,” J. Opt. Soc. Am. B 25, 140–148 (2008).
[CrossRef]

Rudenko, A.

Y. Liu, S. Tschuch, A. Rudenko, M. Durr, M. Siegel, U. Morgner, R. Moshammer, and J. Ullrich, “Strong-field double ionization of Ar below the recollision threshold,” Phys. Rev. Lett. 101, 053001 (2008).
[CrossRef]

Ruehl, A.

M. Siegel, G. Palmer, M. Emons, M. Schutze, A. Ruehl, and U. Morgner, “Pulsing dynamics in Ytterbium based chirped-pulse oscillators,” Opt. Express 16, 14314–14320 (2008).
[CrossRef] [PubMed]

Schmidt, A. J.

F. Krausz, M. E. Fermann, Th. Brabec, P. F. Curley, M. Hofer, M. H. Ober, Ch. Spielmann, E. Wintner, and A. J. Schmidt, “Femtosecond solid-state lasers,” IEEE J. Quantum Electron. 28, 2097–2122 (1992).
[CrossRef]

Schuessler, H. A.

Ch. Gohle, Th. Udem, M. Herrmann, J. Rauschenberger, R. Holzwarth, H. A. Schuessler, F. Krausz, and Th. W. Hänsch, “A frequency comb in the extreme ultraviolet,” Nature 436, 234–237 (2005).
[CrossRef] [PubMed]

Schultze, M.

G. Palmer, M. Schultze, M. Siegel, M. Emons, U. Bunting, and U. Morgner, “Passively mode-locked Yb:KLu(WO4)2 thin-disk oscillator operated in the positive and negative dispersion regime,” Opt. Lett. 33, 1608–1610 (2008).
[CrossRef] [PubMed]

Schutze, M.

M. Siegel, G. Palmer, M. Emons, M. Schutze, A. Ruehl, and U. Morgner, “Pulsing dynamics in Ytterbium based chirped-pulse oscillators,” Opt. Express 16, 14314–14320 (2008).
[CrossRef] [PubMed]

Siegel, M.

M. Siegel, G. Palmer, M. Emons, M. Schutze, A. Ruehl, and U. Morgner, “Pulsing dynamics in Ytterbium based chirped-pulse oscillators,” Opt. Express 16, 14314–14320 (2008).
[CrossRef] [PubMed]

G. Palmer, M. Schultze, M. Siegel, M. Emons, U. Bunting, and U. Morgner, “Passively mode-locked Yb:KLu(WO4)2 thin-disk oscillator operated in the positive and negative dispersion regime,” Opt. Lett. 33, 1608–1610 (2008).
[CrossRef] [PubMed]

Y. Liu, S. Tschuch, A. Rudenko, M. Durr, M. Siegel, U. Morgner, R. Moshammer, and J. Ullrich, “Strong-field double ionization of Ar below the recollision threshold,” Phys. Rev. Lett. 101, 053001 (2008).
[CrossRef]

Silberberg, Y.

H. A. Haus, and Y. Silberberg, “Theory of mode locking of a laser diode with a multiple-quantum-well structure,” J. Opt. Soc. Am. B 2, 1237–1243 (1985).
[CrossRef]

Sintov, Y.

O. Katz, Y. Sintov, Y. Nafcha, and Y. Glick, “Passively mode-locked ytterbium fiber laser utilizing chirped-fiber-Bragg-gratings for dispersion control,” Opt. Commun. 269, 156–165 (2007).
[CrossRef]

Sørensen, M. P.

J. G. Caputo, N. Flytzanis, and M. P. Sørensen, “Ring laser configuration studied by collective coordinates,” J. Opt. Soc. Am. B 12, 139–145 (1995).
[CrossRef]

Sorokin, E.

E. Sorokin, V. L. Kalashnikov, J. Mandon, G. Guelachvili, N. Picqué, and I. T. Sorokina, “Cr4+:YAG chirpedpulse oscillator,” N. J. Phys. 10, 083022 (2008).
[CrossRef] [PubMed]

V. L. Kalashnikov, E. Sorokin, and I. T. Sorokina, “Multipulse operation and limits of the Kerr-lens mode locking stability,” IEEE J. Quantum Electron. 39, 323–336 (2003).
[CrossRef]

S. Naumov, E. Sorokin, V. L. Kalashnikov, G. Tempea, and I. T. Sorokina, “Self-starting five optical cycle pulse generation in Cr4+:YAG laser,” Appl. Phys. B 76, 1–11 (2003).
[CrossRef]

V. L. Kalashnikov, E. Sorokin, and I. T. Sorokina, “Mechanisms of spectral shift in ultrashort-pulse laser oscillators,” J. Opt. Soc. Am. B 18, 1732–1741 (2001).
[CrossRef]

Sorokina, I. T.

E. Sorokin, V. L. Kalashnikov, J. Mandon, G. Guelachvili, N. Picqué, and I. T. Sorokina, “Cr4+:YAG chirpedpulse oscillator,” N. J. Phys. 10, 083022 (2008).
[CrossRef] [PubMed]

V. L. Kalashnikov, E. Sorokin, and I. T. Sorokina, “Multipulse operation and limits of the Kerr-lens mode locking stability,” IEEE J. Quantum Electron. 39, 323–336 (2003).
[CrossRef]

S. Naumov, E. Sorokin, V. L. Kalashnikov, G. Tempea, and I. T. Sorokina, “Self-starting five optical cycle pulse generation in Cr4+:YAG laser,” Appl. Phys. B 76, 1–11 (2003).
[CrossRef]

V. L. Kalashnikov, E. Sorokin, and I. T. Sorokina, “Mechanisms of spectral shift in ultrashort-pulse laser oscillators,” J. Opt. Soc. Am. B 18, 1732–1741 (2001).
[CrossRef]

Soto-Crespo, J. M.

Ph. Grelu, W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonance as a guideline for high-energy pulse laser oscillators,” J. Opt. Soc. Am. B 27, 2336–2341 (2010).
[CrossRef]

W. Chang, J. M. Soto-Crespo, A. Ankiewicz, and N. Akhmediev, “Dissipative soliton resonances in the anomalous dispersion regime,” Phys. Rev. A 79, 033840 (2009).
[CrossRef]

W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonances,” Phys. Rev. A 78, 023830 (2008).
[CrossRef]

Spielmann, Ch.

F. Krausz, M. E. Fermann, Th. Brabec, P. F. Curley, M. Hofer, M. H. Ober, Ch. Spielmann, E. Wintner, and A. J. Schmidt, “Femtosecond solid-state lasers,” IEEE J. Quantum Electron. 28, 2097–2122 (1992).
[CrossRef]

Südmeyer, T.

S. V. Marchese, C. R. E. Baer, A. G. Engqvist, S. Hashimoto, D. J. H. C. Maas, M. Golling, T. Südmeyer, and U. Keller, “Femtosecond thin disk laser oscillator with pulse energy beyond the 10-microjoule level,” Opt. Express 16, 6397–6407 (2008).
[CrossRef] [PubMed]

T. Südmeyer, S. V. Marchese, C. R. E. Baer, G. Gingras, B. Witzel, and U. Keller, “Femtosecond laser oscillators for high-field science,” Nat. Photonics 2, 599–604 (2008).
[CrossRef]

Sutter, D. H.

J. Neuhaus, D. Bauer, J. Zhang, A. Killi, J. Kleinbauer, M. Kumkar, S. Weiler, M. Guina, D. H. Sutter, and Th. Dekorsy, “Subpicosecond thin-disk laser oscillator with pulse energies of up to 25.9 microjoules by use of an active multipass geometry,” Opt. Express 16, 20530–20539 (2008).
[CrossRef] [PubMed]

Tajima, T.

G. A. Mourou, T. Tajima, and S. V. Bulanov, “Optics in the relativistic regime,” Rev. Mod. Phys. 78, 309–371 (2006).
[CrossRef]

Tempea, G.

S. Naumov, E. Sorokin, V. L. Kalashnikov, G. Tempea, and I. T. Sorokina, “Self-starting five optical cycle pulse generation in Cr4+:YAG laser,” Appl. Phys. B 76, 1–11 (2003).
[CrossRef]

Tschuch, S.

Y. Liu, S. Tschuch, A. Rudenko, M. Durr, M. Siegel, U. Morgner, R. Moshammer, and J. Ullrich, “Strong-field double ionization of Ar below the recollision threshold,” Phys. Rev. Lett. 101, 053001 (2008).
[CrossRef]

Turitsyn, S. K.

B. G. Bale, S. Boscolo, and S. K. Turitsyn, “Dissipative dispersion-managed solitons in mode-locked lasers,” Opt. Lett. 34, 3286–3288 (2009).
[CrossRef] [PubMed]

Udem, Th.

Ch. Gohle, Th. Udem, M. Herrmann, J. Rauschenberger, R. Holzwarth, H. A. Schuessler, F. Krausz, and Th. W. Hänsch, “A frequency comb in the extreme ultraviolet,” Nature 436, 234–237 (2005).
[CrossRef] [PubMed]

Ullrich, J.

Y. Liu, S. Tschuch, A. Rudenko, M. Durr, M. Siegel, U. Morgner, R. Moshammer, and J. Ullrich, “Strong-field double ionization of Ar below the recollision threshold,” Phys. Rev. Lett. 101, 053001 (2008).
[CrossRef]

Weiler, S.

J. Neuhaus, D. Bauer, J. Zhang, A. Killi, J. Kleinbauer, M. Kumkar, S. Weiler, M. Guina, D. H. Sutter, and Th. Dekorsy, “Subpicosecond thin-disk laser oscillator with pulse energies of up to 25.9 microjoules by use of an active multipass geometry,” Opt. Express 16, 20530–20539 (2008).
[CrossRef] [PubMed]

Wintner, E.

F. Krausz, M. E. Fermann, Th. Brabec, P. F. Curley, M. Hofer, M. H. Ober, Ch. Spielmann, E. Wintner, and A. J. Schmidt, “Femtosecond solid-state lasers,” IEEE J. Quantum Electron. 28, 2097–2122 (1992).
[CrossRef]

Wise, F.

A. Chong, J. Buckley, W. Renninger, and F. Wise, “All-normal-dispersion femtoseond fiber laser,” Opt. Express 14, 10095–10100 (2006).
[CrossRef] [PubMed]

Wise, F. W.

S. Lefrancois, Kh. Kieu, Y. Deng, J. D. Kafka, and F. W. Wise, “Scaling of dissipative soliton fiber lasers to megawatt peak powers by use of large-area photonic crystal fiber,” Opt. Lett. 35, 1569–1571 (2010).
[CrossRef] [PubMed]

S. Lefrancois, K. Kieu, Y. Deng, J. D. Kafka, and F. W. Wise, “Scaling of dissipative soliton fiber lasers to megawatt peak powers by use of large-area photonic crystal fiber,” Opt. Lett. 35, 1569–1571 (2010).
[CrossRef] [PubMed]

A. Chong, W. H. Renninger, and F. W. Wise, “Properties of normal-dispersion femtosecond fiber lasers,” J. Opt. Soc. Am. B 25, 140–148 (2008).
[CrossRef]

B. G. Bale, J. N. Kutz, A. Chong, W. H. Renninger, and F. W. Wise, “Spectral filtering for high-energy modelocking in normal dispersion fiber lasers,” J. Opt. Soc. Am. B 25, 1763–1770 (2008).
[CrossRef]

W. H. Renninger, A. Chong, and F. W. Wise, “Dissipative solitons in normal-dispersion fiber lasers,” Phys. Rev. A 77, 023814 (2008).
[CrossRef]

Witzel, B.

T. Südmeyer, S. V. Marchese, C. R. E. Baer, G. Gingras, B. Witzel, and U. Keller, “Femtosecond laser oscillators for high-field science,” Nat. Photonics 2, 599–604 (2008).
[CrossRef]

Zhang, J.

J. Neuhaus, D. Bauer, J. Zhang, A. Killi, J. Kleinbauer, M. Kumkar, S. Weiler, M. Guina, D. H. Sutter, and Th. Dekorsy, “Subpicosecond thin-disk laser oscillator with pulse energies of up to 25.9 microjoules by use of an active multipass geometry,” Opt. Express 16, 20530–20539 (2008).
[CrossRef] [PubMed]

Appl. Phys. B

V. L. Kalashnikov, E. Podivilov, A. Chernykh, and A. Apolonski, “Chirped-pulse oscillators: theory and experiment,” Appl. Phys. B 83, 503–510 (2006).
[CrossRef]

R. Paschotta, “Noise of mode-locked lasers (Part II): timing jitter and other fluctuations,” Appl. Phys. B 79, 163–173 (2004).

S. Naumov, E. Sorokin, V. L. Kalashnikov, G. Tempea, and I. T. Sorokina, “Self-starting five optical cycle pulse generation in Cr4+:YAG laser,” Appl. Phys. B 76, 1–11 (2003).
[CrossRef]

Eur. Phys. J. D

S. Ch. Cerda, S. B. Cavalvanti, and J. M. Hickmann, “A variational approach of nonlinear dissipative pulse propagation,” Eur. Phys. J. D 1, 313–316 (1998).
[CrossRef]

IEEE J. Quantum Electron.

V. L. Kalashnikov, E. Sorokin, and I. T. Sorokina, “Multipulse operation and limits of the Kerr-lens mode locking stability,” IEEE J. Quantum Electron. 39, 323–336 (2003).
[CrossRef]

F. Krausz, M. E. Fermann, Th. Brabec, P. F. Curley, M. Hofer, M. H. Ober, Ch. Spielmann, E. Wintner, and A. J. Schmidt, “Femtosecond solid-state lasers,” IEEE J. Quantum Electron. 28, 2097–2122 (1992).
[CrossRef]

J. Appl. Phys.

H. A. Haus, “A theory of fast saturable absorber modelocking,” J. Appl. Phys. 46, 3049 (1975).
[CrossRef]

J. Opt. Soc. Am. B

H. A. Haus, and Y. Silberberg, “Theory of mode locking of a laser diode with a multiple-quantum-well structure,” J. Opt. Soc. Am. B 2, 1237–1243 (1985).
[CrossRef]

B. G. Bale, and J. N. Kutz, “Variational method for mode-locked lasers,” J. Opt. Soc. Am. B 25, 1193–1202 (2008).
[CrossRef]

B. G. Bale, J. N. Kutz, A. Chong, W. H. Renninger, and F. W. Wise, “Spectral filtering for high-energy modelocking in normal dispersion fiber lasers,” J. Opt. Soc. Am. B 25, 1763–1770 (2008).
[CrossRef]

Ch. Jirauschek, and F. X. Kärtner, “Gaussian pulse dynamics in gain media with Kerr nonlinearity,” J. Opt. Soc. Am. B 23, 1776–1784 (2006).
[CrossRef]

Ph. Grelu, W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonance as a guideline for high-energy pulse laser oscillators,” J. Opt. Soc. Am. B 27, 2336–2341 (2010).
[CrossRef]

V. L. Kalashnikov, E. Sorokin, and I. T. Sorokina, “Mechanisms of spectral shift in ultrashort-pulse laser oscillators,” J. Opt. Soc. Am. B 18, 1732–1741 (2001).
[CrossRef]

A. Chong, W. H. Renninger, and F. W. Wise, “Properties of normal-dispersion femtosecond fiber lasers,” J. Opt. Soc. Am. B 25, 140–148 (2008).
[CrossRef]

J. G. Caputo, N. Flytzanis, and M. P. Sørensen, “Ring laser configuration studied by collective coordinates,” J. Opt. Soc. Am. B 12, 139–145 (1995).
[CrossRef]

JETP Lett.

E. Podivilov, and V. L. Kalashnikov, “Heavily-chirped solitary pulses in the normal dispersion region: new solutions of the cubic-quintic complex Ginzburg-Landau equation,” JETP Lett. 82, 467–471 (2005).
[CrossRef]

N. J. Phys.

V. L. Kalashnikov, E. Podivilov, A. Chernykh, S. Naumov, A. Fernandez, R. Graf, and A. Apolonski, “Approaching the microjoule frontier with femtosecond laser oscillators. Theory and comparison with experiment,” N. J. Phys. 7, 217 (2005).
[CrossRef]

S. Naumov, A. Fernandez, R. Graf, P. Dombi, F. Krausz, and A. Apolonski, “Approaching the microjoule frontier with femtosecond laser oscillators,” N. J. Phys. 7, 216 (2005).
[CrossRef]

E. Sorokin, V. L. Kalashnikov, J. Mandon, G. Guelachvili, N. Picqué, and I. T. Sorokina, “Cr4+:YAG chirpedpulse oscillator,” N. J. Phys. 10, 083022 (2008).
[CrossRef] [PubMed]

Nat. Photonics

T. Südmeyer, S. V. Marchese, C. R. E. Baer, G. Gingras, B. Witzel, and U. Keller, “Femtosecond laser oscillators for high-field science,” Nat. Photonics 2, 599–604 (2008).
[CrossRef]

Nature

Ch. Gohle, Th. Udem, M. Herrmann, J. Rauschenberger, R. Holzwarth, H. A. Schuessler, F. Krausz, and Th. W. Hänsch, “A frequency comb in the extreme ultraviolet,” Nature 436, 234–237 (2005).
[CrossRef] [PubMed]

Opt. Commun.

O. Katz, Y. Sintov, Y. Nafcha, and Y. Glick, “Passively mode-locked ytterbium fiber laser utilizing chirped-fiber-Bragg-gratings for dispersion control,” Opt. Commun. 269, 156–165 (2007).
[CrossRef]

A. K. Komarov, and K. P. Komarov, “Pulse splitting in a passive mode-locked laser,” Opt. Commun. 183, 265–270 (2000).
[CrossRef]

Opt. Express

M. Siegel, G. Palmer, M. Emons, M. Schutze, A. Ruehl, and U. Morgner, “Pulsing dynamics in Ytterbium based chirped-pulse oscillators,” Opt. Express 16, 14314–14320 (2008).
[CrossRef] [PubMed]

S. V. Marchese, C. R. E. Baer, A. G. Engqvist, S. Hashimoto, D. J. H. C. Maas, M. Golling, T. Südmeyer, and U. Keller, “Femtosecond thin disk laser oscillator with pulse energy beyond the 10-microjoule level,” Opt. Express 16, 6397–6407 (2008).
[CrossRef] [PubMed]

J. Neuhaus, D. Bauer, J. Zhang, A. Killi, J. Kleinbauer, M. Kumkar, S. Weiler, M. Guina, D. H. Sutter, and Th. Dekorsy, “Subpicosecond thin-disk laser oscillator with pulse energies of up to 25.9 microjoules by use of an active multipass geometry,” Opt. Express 16, 20530–20539 (2008).
[CrossRef] [PubMed]

A. Chong, J. Buckley, W. Renninger, and F. Wise, “All-normal-dispersion femtoseond fiber laser,” Opt. Express 14, 10095–10100 (2006).
[CrossRef] [PubMed]

C. Antonelli, J. Chen, and F. X. Kärtner, “Intracavity pulse dynamics and stability for passively mode-locked lasers,” Opt. Express 15, 5919–5924 (2007).
[CrossRef] [PubMed]

Opt. Lett.

B. G. Bale, S. Boscolo, and S. K. Turitsyn, “Dissipative dispersion-managed solitons in mode-locked lasers,” Opt. Lett. 34, 3286–3288 (2009).
[CrossRef] [PubMed]

S. Lefrancois, Kh. Kieu, Y. Deng, J. D. Kafka, and F. W. Wise, “Scaling of dissipative soliton fiber lasers to megawatt peak powers by use of large-area photonic crystal fiber,” Opt. Lett. 35, 1569–1571 (2010).
[CrossRef] [PubMed]

G. Palmer, M. Schultze, M. Siegel, M. Emons, U. Bunting, and U. Morgner, “Passively mode-locked Yb:KLu(WO4)2 thin-disk oscillator operated in the positive and negative dispersion regime,” Opt. Lett. 33, 1608–1610 (2008).
[CrossRef] [PubMed]

S. Lefrancois, K. Kieu, Y. Deng, J. D. Kafka, and F. W. Wise, “Scaling of dissipative soliton fiber lasers to megawatt peak powers by use of large-area photonic crystal fiber,” Opt. Lett. 35, 1569–1571 (2010).
[CrossRef] [PubMed]

Phys. Rev. A

W. H. Renninger, A. Chong, and F. W. Wise, “Dissipative solitons in normal-dispersion fiber lasers,” Phys. Rev. A 77, 023814 (2008).
[CrossRef]

W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonances,” Phys. Rev. A 78, 023830 (2008).
[CrossRef]

V. L. Kalashnikov, and A. Apolonski, “Chirped-pulse oscillators: A unified standpoint,” Phys. Rev. A 79, 043829 (2009).
[CrossRef]

W. Chang, J. M. Soto-Crespo, A. Ankiewicz, and N. Akhmediev, “Dissipative soliton resonances in the anomalous dispersion regime,” Phys. Rev. A 79, 033840 (2009).
[CrossRef]

Phys. Rev. E Stat. Nonlin. Soft Matter Phys.

V. L. Kalashnikov, “Chirped dissipative solitons of the complex cubic-quintic nonlinear Ginzburg-Landau equation,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 80, 046606 (2009).
[CrossRef]

Phys. Rev. Lett.

Y. Liu, S. Tschuch, A. Rudenko, M. Durr, M. Siegel, U. Morgner, R. Moshammer, and J. Ullrich, “Strong-field double ionization of Ar below the recollision threshold,” Phys. Rev. Lett. 101, 053001 (2008).
[CrossRef]

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D. Anderson, M. Lisak, and A. Berntson, “A variational approach to nonlinear equations in optics,” Pramana J. Phys. 57, 917–936 (2001).
[CrossRef]

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G. A. Mourou, T. Tajima, and S. V. Bulanov, “Optics in the relativistic regime,” Rev. Mod. Phys. 78, 309–371 (2006).
[CrossRef]

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N. N. Akhmediev, and A. Ankiewicz, Solitons: nonlinear pulses and beams (Chapman&Hall, London, 1997).

The Wolfram Mathematica 7 notebook is accessible at http://info.tuwien.ac.at/kalashnikov/variational.html.

K. E. Oughstun, Electromagmetic and Optical Pulse Propagation 1 (Springer, NY, 2006).

N. N. Akhmediev, and A. Ankiewicz, eds., Dissipative Solitons: From Optics to Biology and Medicine. (Springer-Verlag, Berlin, Heidelberg, 2008).

V. L. Kalashnikov, “The unified theory of chirped-pulse oscillators,” Proc. SPIE Nonlinear Opt. Appl. III, Vol. 7354, Mario Bertolotti, Ed., p. 73540T (also arXiv:0903.5396 physics.optics]) (2009).

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Figures (6)

Fig. 1
Fig. 1

Maps for two thin-disk Yb:YAG oscillators: an airless one (a) and air-filled one (b). Ĥ blocks correspond to the delay lines with the dispersion compensators, Ĝ is the gain head, is the SESAM.

Fig. 2
Fig. 2

Thresholds (cτΣγ/βζ vs. E) of the pulse stability (solid curves) and the pulse widths TFWHM at these thresholds (dashed curves) in the ADR. The different colors correspond to μ=0.002 (black), 0.0025 (green), 0.004 (red), 0.005 (magenta), and 0.008 (blue). Analytical thresholds correspond to the lines without symbols, numerical ones correspond to the curves with symbols. The dimensional values of the GDD and the output pulse energies at the extreme points are shown for oscillator types a and b. For an oscillator of the b′-type, the intracavity energies are shown. The pulses are stable below the thresholds shown.

Fig. 3
Fig. 3

Thresholds (cτ Σγ/βζvs. E) of the pulse stability (solid curves) and the pulse widths TFWHM at these thresholds (dashed curves) in the ADR. The different colors correspond to μ=0.002 (black), 0.008 (blue), and 0.016 (green). Symbols demonstrate the operational points in the vicinity of stability threshold for the different oscillators (corresponding references and output energies are inscribed). Dotted curves correspond to the criterion c/μ=1 [38].

Fig. 4
Fig. 4

Thresholds (|c| ≡ τΣγ/|β|ζ vs. E) of the pulse stability. The different colors correspond to μ=0.002 (black), 0.005 (magenta), and 0.008 (blue); bγ/ζ=2×10−4 (black and blue), 4×10−3 (magenta). Analytical thresholds correspond to the lines without symbols, numerical ones correspond to the curves with symbols. The dimensional values of the GDD and the output pulse energies in the extreme points are shown for oscillator types a and b. The pulses are stable below the thresholds shown.

Fig. 5
Fig. 5

Thresholds (|c| ≡ τΣγ/|β|ζ vs. E) of the pulse stability. The different colors correspond to bγ/ζ=0.001 (black), 0.1 (red), and 10 (blue); μ=0.008. Analytical thresholds from [20] correspond to the curves (the CDS are stable in the direction of the arrows marked in regular type). Analytical thresholds from the variational model correspond to the symbols (the CDS are stable in the direction of the arrows marked in italics).

Fig. 6
Fig. 6

Thresholds (|c| ≡ τΣγ/|β|ζ for the solid-state oscillators and |c| ≡ τγ/|β|ζ for the fiber ones vs. E/b) of the pulse stability. The different colors correspond to bγ/ζ =33 and μ=0.5 (red), b =0.3 and μ=0.02 (blue), b =7×105 and μ=0.025 (black). Analytical thresholds from [20] correspond to the curves (the CDS is stable in the direction of the arrow marked in regular type). Analytical threshold from the variational model is shown by crosses (the CDS is stable in the direction of the arrows marked in italics). Symbols demonstrate the operational points in the vicinity of the stability threshold for the different oscillators (corresponding references and output energies are given).

Tables (2)

Tables Icon

Table 1 Main abbreviations and symbols

Tables Icon

Table 2 Simulation parameters (per round-trip) for the oscillator maps shown in Fig. 1 (a) and (b). Map b′ is geometrically identical to the b one, but has other parameters.

Equations (14)

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Ldt f d d z Ldt f = 2 Q a f dt ,
L = 1 2 { i [ a * a t a a * t ] + [ β a t a * t γ | a | 4 ] } .
a ( z , t ) = A ( z ) exp [ i ϕ ( z ) ] sech [ t T ( z ) ] 1 + i ψ ( z ) ,
Q i [ + ρ 1 + σ | a | 2 d t ( 1 + π 2 t 2 ) + μ ζ | a | 2 1 + ζ | a | 2 ] a .
ϕ z = b 2 A 2 , T = 1 A c ,
μ ( 2 + ln ( 1 + A 2 A 1 + A 2 1 + A 2 + A 1 + A 2 ) A 1 + A 2 ) + 2 Ξ 2 c A 2 3 = 0 ,
ϕ z = b 24 A 2 12 b A 4 + ψ ( 12 A 2 Ξ + μ π 2 32 c A 4 ) b 2 c ψ . T = 2 A ( 1 + ψ 2 ) ( 2 c ψ b ) c ( ( 12 A 2 Ξ + μ π 2 ) ψ 4 b A 4 ) , ψ = 4 b A ( A 1 + A 2 ( c A 2 3 ( μ + Ξ ) ) + 3 μ arctanh [ A 1 + A 2 ] ) c ( 1 + A 2 ( 12 A 2 ( 2 μ Ξ ) μ π 2 ) ) 24 A arctanh [ A 1 + A 2 ] .
L ^ [ A ] = A ( t ) exp [ κ μ 1 + ζ | A ( t ) | 2 ]
G ^ [ A ] = i β g 2 2 t 2 A ( t ) + i γ g | A ( t ) | 2 A ( t ) + ( ρ Ω g 1 + N σ | A ( t ) | 2 d t t exp [ Ω g ( t t ) ] A ( t ) d t ) + s ( t ) .
s ( t ) s * ( t ) = 2 Σ θ h ν δ t δ ( t t )
A z + 1 ( t ) = [ H ^ H ^ G ^ H ^ G ^ L ^ G ^ H ^ G ^ H ^ H ^ ] A z ( t ) , A z + 1 ( t ) = [ L ^ H ^ G ^ H ^ L ^ ] A z ( t ) ,
ρ k + δ k = P T r ρ max + ( ρ k P T r ρ max ) exp [ Δ t T r ] ,
c E ζ / τ Σ ,
E ζ 2 c 2 / γ τ Σ ϒ ,

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