Abstract

An optical-phase stabilization technique was utilized to reduce the timing jitter between passively synchronized Ti:sapphire and Cr:forsterite two-color mode-locked lasers. The suppression of cavity-length fluctuation by stabilizing pulse-to-pulse slips of relative carrier-envelope phase allowed timing-jitter reduction by a factor of 1.7, resulting in an rms value of 123 attoseconds (as) in a frequency range from 10 mHz to 1 MHz.

©2006 Optical Society of America

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  1. M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, “Attosecond metrology,” Nature 414, 509–513 (2001).
    [Crossref] [PubMed]
  2. T. Sekikawa, A. Kosuge, T. Kanai, and S. Watanabe, “Nonlinear optics in the extreme ultraviolet,” Nature 432, 605–608 (2004).
    [Crossref] [PubMed]
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    [Crossref]
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    [Crossref] [PubMed]
  6. M. Y. Shverdin, D. R. Walker, D. D. Yavuz, G. Y. Yin, and S. E. Harris, “Generation of a single-cycle optical pulse,” Phys. Rev. Lett. 94, 033904 (2005).
    [Crossref] [PubMed]
  7. Y. Kobayashi, H. Takada, M. Kakehata, and K. Torizuka, “Phase-coherent multicolor femtosecond pulse generation,” Appl. Phys. Lett. 83, 839–841 (2003).
    [Crossref]
  8. Y. Kobayashi, H. Takada, M. Kakehata, and K. Torizuka, “Optical phase locking among femtosecond subharmonic pulses,” Opt. Lett. 28, 1377–1379 (2003).
    [Crossref] [PubMed]
  9. Y. Kobayashi, K. Torizuka, and Z. Wei, “Control of relative carrier-envelope phase slip in femtosecond Ti:sapphire and Cr:forsterite lasers,” Opt. Lett. 28, 746–748 (2003).
    [Crossref] [PubMed]
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    [Crossref] [PubMed]
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  12. J. Kim, T. R. Schibli, L. Matos, H. Byunn, and F. X. Kärtner, “Phase-coherent spectrum from ultrabroadband Ti:sapphire and Cr:forsterite lasering covering the visible to the infrared,” in Joint Conference on Ultrafast Optics V and Applications of High Field and Short Wavelength Sources XI (Springer, 2005), paper M3-5.
  13. L-S. Ma, R. K. Shelton, H. C. Kapteyn, M. M. Murnane, and J. Ye, “Sub-10-femtosecond active synchronization of two passively mode-locked Ti:sapphire oscillators,” Phys. Rev. A 64, 021802(R) (2001).
    [Crossref]
  14. R. K. Shelton, S. M. Foreman, L-S. Ma, J. L. Hall, H. C. Kapteyn, M. M. Murnane, M. Notcutt, and J. Ye, “Subfemtosecond timing jitter between two independent, actively synchronized, mode-locked lasers,” Opt. Lett. 27, 312–314 (2002).
    [Crossref]
  15. T. Miura, H. Nagaoka, K. Takasago, K. Kobayashi, A. Endo, K. Torizuka, M. Washio, and F. Kannari, “Active synchronization of two mode-locked lasers with optical cross correlation,” Appl. Phys. B 75, 19–23 (2002).
    [Crossref]
  16. A. Bartels, S. A. Diddams, T. M. Ramond, and L. Hollberg, “Mode-locked laser pulse trains with subfemtosecond timing jitter synchronized to an optical reference oscillator,” Opt. Lett. 28, 663–665 (2003).
    [Crossref] [PubMed]
  17. T. R. Schibli, J. Kim, O. Kuzucu, J. T. Gopinath, S. N. Tandon, G. S. Petrich, L. A. Kolodziejski, J. G. Fujimoto, E. P. Ippen, and F. X. Kaertner, “Attosecond active synchronization of passively mode-locked lasers by balanced cross correlation,” Opt. Lett. 28, 947–949 (2003).
    [Crossref] [PubMed]
  18. A. Leitenstorfer, C. Fürst, and A. Laubereau, “Widely tunable two-color mode-locked Ti:sapphire laser with pulse jitter of less than 2 fs,” Opt. Lett. 20, 916–918(1995).
    [Crossref] [PubMed]
  19. Z. Wei, Y. Kobayashi, Z. Zhang, and K. Torizuka, “Generation of two-color femtosecond pulses by self-synchronizing Ti:sapphire and Cr:forsterite lasers,” Opt. Lett. 26, 1806–1808 (2001).
    [Crossref]
  20. M. Rusu, R. Herda, and O. G. Okhotnikov, “Passively synchronized erbium (1550-nm) and ytterbium (1040-nm) mode-locked fiber lasers sharing a cavity,” Opt. Lett. 29, 2246–2248 (2004).
    [Crossref] [PubMed]
  21. J. Tian, Z. Wei, P. Wang, H. Han, J. Zhang, L. Zhao, Z. Wang, J. Zhang, T. Yang, and J. Pan, “Independently tunable 1.3W femtosecond Ti:sapphire lasers passively synchronized with attosecond timing jitter and ultrahigh robustness,” Opt. Lett. 30, 2161–2163 (2005).
    [Crossref] [PubMed]
  22. C. Fürst, A. Leitenstorfer, and A. Laubereau, “Mechanism for self-synchronization of femtosecond pulses in a two-color Ti:Sapphire laser,” IEEE Sel. Top. Quantum. Electron. 2, 473–479 (1996).
    [Crossref]
  23. Z. Wei, Y. Kobayashi, and K. Torizuka, “Passive synchronization between femtosecond Ti:sapphire and Cr:forsterite lasers,” Appl. Phys. B 74, S171–S176 (2002).
    [Crossref]
  24. D. Yoshitomi, Y. Kobayashi, H. Takada, M. Kakehata, and K. Torizuka, “100-attosecond timing jitter between two-color mode-locked lasers by active-passive hybrid synchronization,” Opt. Lett. 30, 1408–1410 (2005).
    [Crossref] [PubMed]
  25. Y. Kobayashi, D. Yoshitomi, M. Kakehata, H. Takada, and K. Torizuka, “Long-term optical phase locking between femtosecond Ti:sapphire and Cr:forsterite lasers,” Opt. Lett. 30, 2496–2498 (2005).
    [Crossref] [PubMed]
  26. Z. Wei, Y. Kobayashi, and K. Torizuka, “Relative carrier-envelope phase dynamics between passively synchronized Ti:sapphire and Cr:forsterite lasers,” Opt. Lett. 27, 2121–2123 (2002).
    [Crossref]

2005 (4)

2004 (3)

2003 (6)

2002 (4)

Z. Wei, Y. Kobayashi, and K. Torizuka, “Passive synchronization between femtosecond Ti:sapphire and Cr:forsterite lasers,” Appl. Phys. B 74, S171–S176 (2002).
[Crossref]

T. Miura, H. Nagaoka, K. Takasago, K. Kobayashi, A. Endo, K. Torizuka, M. Washio, and F. Kannari, “Active synchronization of two mode-locked lasers with optical cross correlation,” Appl. Phys. B 75, 19–23 (2002).
[Crossref]

R. K. Shelton, S. M. Foreman, L-S. Ma, J. L. Hall, H. C. Kapteyn, M. M. Murnane, M. Notcutt, and J. Ye, “Subfemtosecond timing jitter between two independent, actively synchronized, mode-locked lasers,” Opt. Lett. 27, 312–314 (2002).
[Crossref]

Z. Wei, Y. Kobayashi, and K. Torizuka, “Relative carrier-envelope phase dynamics between passively synchronized Ti:sapphire and Cr:forsterite lasers,” Opt. Lett. 27, 2121–2123 (2002).
[Crossref]

2001 (4)

R. K. Shelton, L. Ma, H. C. Kapteyn, M. Murnane, J. L. Hall, and J. Ye, “Phase-coherent optical pulse synthesis from separate femtosecond lasers,” Science 293, 1286–1289 (2001).
[Crossref] [PubMed]

Z. Wei, Y. Kobayashi, Z. Zhang, and K. Torizuka, “Generation of two-color femtosecond pulses by self-synchronizing Ti:sapphire and Cr:forsterite lasers,” Opt. Lett. 26, 1806–1808 (2001).
[Crossref]

L-S. Ma, R. K. Shelton, H. C. Kapteyn, M. M. Murnane, and J. Ye, “Sub-10-femtosecond active synchronization of two passively mode-locked Ti:sapphire oscillators,” Phys. Rev. A 64, 021802(R) (2001).
[Crossref]

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, “Attosecond metrology,” Nature 414, 509–513 (2001).
[Crossref] [PubMed]

1996 (1)

C. Fürst, A. Leitenstorfer, and A. Laubereau, “Mechanism for self-synchronization of femtosecond pulses in a two-color Ti:Sapphire laser,” IEEE Sel. Top. Quantum. Electron. 2, 473–479 (1996).
[Crossref]

1995 (2)

1990 (1)

T. W. Hänsch, “A proposed sub-femtosecond pulse synthesizer using separate phase-locked laser oscillators,” Opt. Comm. 80, 71–75 (1990).
[Crossref]

Bartels, A.

Brabec, T.

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, “Attosecond metrology,” Nature 414, 509–513 (2001).
[Crossref] [PubMed]

Byunn, H.

J. Kim, T. R. Schibli, L. Matos, H. Byunn, and F. X. Kärtner, “Phase-coherent spectrum from ultrabroadband Ti:sapphire and Cr:forsterite lasering covering the visible to the infrared,” in Joint Conference on Ultrafast Optics V and Applications of High Field and Short Wavelength Sources XI (Springer, 2005), paper M3-5.

Corkum, P.

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, “Attosecond metrology,” Nature 414, 509–513 (2001).
[Crossref] [PubMed]

Diddams, S.

Diddams, S. A.

Drescher, M.

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, “Attosecond metrology,” Nature 414, 509–513 (2001).
[Crossref] [PubMed]

Endo, A.

T. Miura, H. Nagaoka, K. Takasago, K. Kobayashi, A. Endo, K. Torizuka, M. Washio, and F. Kannari, “Active synchronization of two mode-locked lasers with optical cross correlation,” Appl. Phys. B 75, 19–23 (2002).
[Crossref]

Foreman, S. M.

Fujimoto, J. G.

Fürst, C.

C. Fürst, A. Leitenstorfer, and A. Laubereau, “Mechanism for self-synchronization of femtosecond pulses in a two-color Ti:Sapphire laser,” IEEE Sel. Top. Quantum. Electron. 2, 473–479 (1996).
[Crossref]

A. Leitenstorfer, C. Fürst, and A. Laubereau, “Widely tunable two-color mode-locked Ti:sapphire laser with pulse jitter of less than 2 fs,” Opt. Lett. 20, 916–918(1995).
[Crossref] [PubMed]

Gopinath, J. T.

Hall, J. L.

R. K. Shelton, S. M. Foreman, L-S. Ma, J. L. Hall, H. C. Kapteyn, M. M. Murnane, M. Notcutt, and J. Ye, “Subfemtosecond timing jitter between two independent, actively synchronized, mode-locked lasers,” Opt. Lett. 27, 312–314 (2002).
[Crossref]

R. K. Shelton, L. Ma, H. C. Kapteyn, M. Murnane, J. L. Hall, and J. Ye, “Phase-coherent optical pulse synthesis from separate femtosecond lasers,” Science 293, 1286–1289 (2001).
[Crossref] [PubMed]

Han, H.

Hänsch, T. W.

T. W. Hänsch, “A proposed sub-femtosecond pulse synthesizer using separate phase-locked laser oscillators,” Opt. Comm. 80, 71–75 (1990).
[Crossref]

Harris, S. E.

M. Y. Shverdin, D. R. Walker, D. D. Yavuz, G. Y. Yin, and S. E. Harris, “Generation of a single-cycle optical pulse,” Phys. Rev. Lett. 94, 033904 (2005).
[Crossref] [PubMed]

Heinzmann, U.

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, “Attosecond metrology,” Nature 414, 509–513 (2001).
[Crossref] [PubMed]

Hentschel, M.

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, “Attosecond metrology,” Nature 414, 509–513 (2001).
[Crossref] [PubMed]

Herda, R.

Hollberg, L.

Holman, K. W.

Ippen, E.

Ippen, E. P.

Jones, D. J.

Kaertner, F. X.

Kakehata, M.

Kanai, T.

T. Sekikawa, A. Kosuge, T. Kanai, and S. Watanabe, “Nonlinear optics in the extreme ultraviolet,” Nature 432, 605–608 (2004).
[Crossref] [PubMed]

Kannari, F.

T. Miura, H. Nagaoka, K. Takasago, K. Kobayashi, A. Endo, K. Torizuka, M. Washio, and F. Kannari, “Active synchronization of two mode-locked lasers with optical cross correlation,” Appl. Phys. B 75, 19–23 (2002).
[Crossref]

Kapteyn, H. C.

R. K. Shelton, S. M. Foreman, L-S. Ma, J. L. Hall, H. C. Kapteyn, M. M. Murnane, M. Notcutt, and J. Ye, “Subfemtosecond timing jitter between two independent, actively synchronized, mode-locked lasers,” Opt. Lett. 27, 312–314 (2002).
[Crossref]

R. K. Shelton, L. Ma, H. C. Kapteyn, M. Murnane, J. L. Hall, and J. Ye, “Phase-coherent optical pulse synthesis from separate femtosecond lasers,” Science 293, 1286–1289 (2001).
[Crossref] [PubMed]

L-S. Ma, R. K. Shelton, H. C. Kapteyn, M. M. Murnane, and J. Ye, “Sub-10-femtosecond active synchronization of two passively mode-locked Ti:sapphire oscillators,” Phys. Rev. A 64, 021802(R) (2001).
[Crossref]

Kärtner, F. X.

J. Kim, T. R. Schibli, L. Matos, H. Byunn, and F. X. Kärtner, “Phase-coherent spectrum from ultrabroadband Ti:sapphire and Cr:forsterite lasering covering the visible to the infrared,” in Joint Conference on Ultrafast Optics V and Applications of High Field and Short Wavelength Sources XI (Springer, 2005), paper M3-5.

Kienberger, R.

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, “Attosecond metrology,” Nature 414, 509–513 (2001).
[Crossref] [PubMed]

Kim, J.

T. R. Schibli, J. Kim, O. Kuzucu, J. T. Gopinath, S. N. Tandon, G. S. Petrich, L. A. Kolodziejski, J. G. Fujimoto, E. P. Ippen, and F. X. Kaertner, “Attosecond active synchronization of passively mode-locked lasers by balanced cross correlation,” Opt. Lett. 28, 947–949 (2003).
[Crossref] [PubMed]

J. Kim, T. R. Schibli, L. Matos, H. Byunn, and F. X. Kärtner, “Phase-coherent spectrum from ultrabroadband Ti:sapphire and Cr:forsterite lasering covering the visible to the infrared,” in Joint Conference on Ultrafast Optics V and Applications of High Field and Short Wavelength Sources XI (Springer, 2005), paper M3-5.

Kobayashi, K.

T. Miura, H. Nagaoka, K. Takasago, K. Kobayashi, A. Endo, K. Torizuka, M. Washio, and F. Kannari, “Active synchronization of two mode-locked lasers with optical cross correlation,” Appl. Phys. B 75, 19–23 (2002).
[Crossref]

Kobayashi, Y.

D. Yoshitomi, Y. Kobayashi, H. Takada, M. Kakehata, and K. Torizuka, “100-attosecond timing jitter between two-color mode-locked lasers by active-passive hybrid synchronization,” Opt. Lett. 30, 1408–1410 (2005).
[Crossref] [PubMed]

Y. Kobayashi, D. Yoshitomi, M. Kakehata, H. Takada, and K. Torizuka, “Long-term optical phase locking between femtosecond Ti:sapphire and Cr:forsterite lasers,” Opt. Lett. 30, 2496–2498 (2005).
[Crossref] [PubMed]

Y. Kobayashi, H. Takada, M. Kakehata, and K. Torizuka, “Optical phase locking among femtosecond subharmonic pulses,” Opt. Lett. 28, 1377–1379 (2003).
[Crossref] [PubMed]

Y. Kobayashi, H. Takada, M. Kakehata, and K. Torizuka, “Phase-coherent multicolor femtosecond pulse generation,” Appl. Phys. Lett. 83, 839–841 (2003).
[Crossref]

Y. Kobayashi, K. Torizuka, and Z. Wei, “Control of relative carrier-envelope phase slip in femtosecond Ti:sapphire and Cr:forsterite lasers,” Opt. Lett. 28, 746–748 (2003).
[Crossref] [PubMed]

Z. Wei, Y. Kobayashi, and K. Torizuka, “Relative carrier-envelope phase dynamics between passively synchronized Ti:sapphire and Cr:forsterite lasers,” Opt. Lett. 27, 2121–2123 (2002).
[Crossref]

Z. Wei, Y. Kobayashi, and K. Torizuka, “Passive synchronization between femtosecond Ti:sapphire and Cr:forsterite lasers,” Appl. Phys. B 74, S171–S176 (2002).
[Crossref]

Z. Wei, Y. Kobayashi, Z. Zhang, and K. Torizuka, “Generation of two-color femtosecond pulses by self-synchronizing Ti:sapphire and Cr:forsterite lasers,” Opt. Lett. 26, 1806–1808 (2001).
[Crossref]

Kolodziejski, L. A.

Kosuge, A.

T. Sekikawa, A. Kosuge, T. Kanai, and S. Watanabe, “Nonlinear optics in the extreme ultraviolet,” Nature 432, 605–608 (2004).
[Crossref] [PubMed]

Krausz, F.

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, “Attosecond metrology,” Nature 414, 509–513 (2001).
[Crossref] [PubMed]

Kuzucu, O.

Laubereau, A.

C. Fürst, A. Leitenstorfer, and A. Laubereau, “Mechanism for self-synchronization of femtosecond pulses in a two-color Ti:Sapphire laser,” IEEE Sel. Top. Quantum. Electron. 2, 473–479 (1996).
[Crossref]

A. Leitenstorfer, C. Fürst, and A. Laubereau, “Widely tunable two-color mode-locked Ti:sapphire laser with pulse jitter of less than 2 fs,” Opt. Lett. 20, 916–918(1995).
[Crossref] [PubMed]

Leitenstorfer, A.

C. Fürst, A. Leitenstorfer, and A. Laubereau, “Mechanism for self-synchronization of femtosecond pulses in a two-color Ti:Sapphire laser,” IEEE Sel. Top. Quantum. Electron. 2, 473–479 (1996).
[Crossref]

A. Leitenstorfer, C. Fürst, and A. Laubereau, “Widely tunable two-color mode-locked Ti:sapphire laser with pulse jitter of less than 2 fs,” Opt. Lett. 20, 916–918(1995).
[Crossref] [PubMed]

Ma, L.

R. K. Shelton, L. Ma, H. C. Kapteyn, M. Murnane, J. L. Hall, and J. Ye, “Phase-coherent optical pulse synthesis from separate femtosecond lasers,” Science 293, 1286–1289 (2001).
[Crossref] [PubMed]

Ma, L-S.

R. K. Shelton, S. M. Foreman, L-S. Ma, J. L. Hall, H. C. Kapteyn, M. M. Murnane, M. Notcutt, and J. Ye, “Subfemtosecond timing jitter between two independent, actively synchronized, mode-locked lasers,” Opt. Lett. 27, 312–314 (2002).
[Crossref]

L-S. Ma, R. K. Shelton, H. C. Kapteyn, M. M. Murnane, and J. Ye, “Sub-10-femtosecond active synchronization of two passively mode-locked Ti:sapphire oscillators,” Phys. Rev. A 64, 021802(R) (2001).
[Crossref]

Matos, L.

J. Kim, T. R. Schibli, L. Matos, H. Byunn, and F. X. Kärtner, “Phase-coherent spectrum from ultrabroadband Ti:sapphire and Cr:forsterite lasering covering the visible to the infrared,” in Joint Conference on Ultrafast Optics V and Applications of High Field and Short Wavelength Sources XI (Springer, 2005), paper M3-5.

Milosevic, N.

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, “Attosecond metrology,” Nature 414, 509–513 (2001).
[Crossref] [PubMed]

Miura, T.

T. Miura, H. Nagaoka, K. Takasago, K. Kobayashi, A. Endo, K. Torizuka, M. Washio, and F. Kannari, “Active synchronization of two mode-locked lasers with optical cross correlation,” Appl. Phys. B 75, 19–23 (2002).
[Crossref]

Murnane, M.

R. K. Shelton, L. Ma, H. C. Kapteyn, M. Murnane, J. L. Hall, and J. Ye, “Phase-coherent optical pulse synthesis from separate femtosecond lasers,” Science 293, 1286–1289 (2001).
[Crossref] [PubMed]

Murnane, M. M.

R. K. Shelton, S. M. Foreman, L-S. Ma, J. L. Hall, H. C. Kapteyn, M. M. Murnane, M. Notcutt, and J. Ye, “Subfemtosecond timing jitter between two independent, actively synchronized, mode-locked lasers,” Opt. Lett. 27, 312–314 (2002).
[Crossref]

L-S. Ma, R. K. Shelton, H. C. Kapteyn, M. M. Murnane, and J. Ye, “Sub-10-femtosecond active synchronization of two passively mode-locked Ti:sapphire oscillators,” Phys. Rev. A 64, 021802(R) (2001).
[Crossref]

Nagaoka, H.

T. Miura, H. Nagaoka, K. Takasago, K. Kobayashi, A. Endo, K. Torizuka, M. Washio, and F. Kannari, “Active synchronization of two mode-locked lasers with optical cross correlation,” Appl. Phys. B 75, 19–23 (2002).
[Crossref]

Newbury, N. R.

Notcutt, M.

Okhotnikov, O. G.

Pan, J.

Petrich, G. S.

Ramond, T. M.

Reider, G. A.

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, “Attosecond metrology,” Nature 414, 509–513 (2001).
[Crossref] [PubMed]

Rusu, M.

Schibli, T. R.

T. R. Schibli, J. Kim, O. Kuzucu, J. T. Gopinath, S. N. Tandon, G. S. Petrich, L. A. Kolodziejski, J. G. Fujimoto, E. P. Ippen, and F. X. Kaertner, “Attosecond active synchronization of passively mode-locked lasers by balanced cross correlation,” Opt. Lett. 28, 947–949 (2003).
[Crossref] [PubMed]

J. Kim, T. R. Schibli, L. Matos, H. Byunn, and F. X. Kärtner, “Phase-coherent spectrum from ultrabroadband Ti:sapphire and Cr:forsterite lasering covering the visible to the infrared,” in Joint Conference on Ultrafast Optics V and Applications of High Field and Short Wavelength Sources XI (Springer, 2005), paper M3-5.

Sekikawa, T.

T. Sekikawa, A. Kosuge, T. Kanai, and S. Watanabe, “Nonlinear optics in the extreme ultraviolet,” Nature 432, 605–608 (2004).
[Crossref] [PubMed]

Shelton, R. K.

R. K. Shelton, S. M. Foreman, L-S. Ma, J. L. Hall, H. C. Kapteyn, M. M. Murnane, M. Notcutt, and J. Ye, “Subfemtosecond timing jitter between two independent, actively synchronized, mode-locked lasers,” Opt. Lett. 27, 312–314 (2002).
[Crossref]

R. K. Shelton, L. Ma, H. C. Kapteyn, M. Murnane, J. L. Hall, and J. Ye, “Phase-coherent optical pulse synthesis from separate femtosecond lasers,” Science 293, 1286–1289 (2001).
[Crossref] [PubMed]

L-S. Ma, R. K. Shelton, H. C. Kapteyn, M. M. Murnane, and J. Ye, “Sub-10-femtosecond active synchronization of two passively mode-locked Ti:sapphire oscillators,” Phys. Rev. A 64, 021802(R) (2001).
[Crossref]

Shimoda, K.

K. Shimoda, “Theory and application of optical subharmonic oscillator,” Jpn. J. Appl. Phys. 34, 3566–3569 (1995).
[Crossref]

Shverdin, M. Y.

M. Y. Shverdin, D. R. Walker, D. D. Yavuz, G. Y. Yin, and S. E. Harris, “Generation of a single-cycle optical pulse,” Phys. Rev. Lett. 94, 033904 (2005).
[Crossref] [PubMed]

Spielmann, Ch.

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, “Attosecond metrology,” Nature 414, 509–513 (2001).
[Crossref] [PubMed]

Takada, H.

Takasago, K.

T. Miura, H. Nagaoka, K. Takasago, K. Kobayashi, A. Endo, K. Torizuka, M. Washio, and F. Kannari, “Active synchronization of two mode-locked lasers with optical cross correlation,” Appl. Phys. B 75, 19–23 (2002).
[Crossref]

Tandon, S. N.

Thomann, I.

Tian, J.

Torizuka, K.

D. Yoshitomi, Y. Kobayashi, H. Takada, M. Kakehata, and K. Torizuka, “100-attosecond timing jitter between two-color mode-locked lasers by active-passive hybrid synchronization,” Opt. Lett. 30, 1408–1410 (2005).
[Crossref] [PubMed]

Y. Kobayashi, D. Yoshitomi, M. Kakehata, H. Takada, and K. Torizuka, “Long-term optical phase locking between femtosecond Ti:sapphire and Cr:forsterite lasers,” Opt. Lett. 30, 2496–2498 (2005).
[Crossref] [PubMed]

Y. Kobayashi, H. Takada, M. Kakehata, and K. Torizuka, “Optical phase locking among femtosecond subharmonic pulses,” Opt. Lett. 28, 1377–1379 (2003).
[Crossref] [PubMed]

Y. Kobayashi, H. Takada, M. Kakehata, and K. Torizuka, “Phase-coherent multicolor femtosecond pulse generation,” Appl. Phys. Lett. 83, 839–841 (2003).
[Crossref]

Y. Kobayashi, K. Torizuka, and Z. Wei, “Control of relative carrier-envelope phase slip in femtosecond Ti:sapphire and Cr:forsterite lasers,” Opt. Lett. 28, 746–748 (2003).
[Crossref] [PubMed]

T. Miura, H. Nagaoka, K. Takasago, K. Kobayashi, A. Endo, K. Torizuka, M. Washio, and F. Kannari, “Active synchronization of two mode-locked lasers with optical cross correlation,” Appl. Phys. B 75, 19–23 (2002).
[Crossref]

Z. Wei, Y. Kobayashi, and K. Torizuka, “Relative carrier-envelope phase dynamics between passively synchronized Ti:sapphire and Cr:forsterite lasers,” Opt. Lett. 27, 2121–2123 (2002).
[Crossref]

Z. Wei, Y. Kobayashi, and K. Torizuka, “Passive synchronization between femtosecond Ti:sapphire and Cr:forsterite lasers,” Appl. Phys. B 74, S171–S176 (2002).
[Crossref]

Z. Wei, Y. Kobayashi, Z. Zhang, and K. Torizuka, “Generation of two-color femtosecond pulses by self-synchronizing Ti:sapphire and Cr:forsterite lasers,” Opt. Lett. 26, 1806–1808 (2001).
[Crossref]

Walker, D. R.

M. Y. Shverdin, D. R. Walker, D. D. Yavuz, G. Y. Yin, and S. E. Harris, “Generation of a single-cycle optical pulse,” Phys. Rev. Lett. 94, 033904 (2005).
[Crossref] [PubMed]

Wang, P.

Wang, Z.

Washio, M.

T. Miura, H. Nagaoka, K. Takasago, K. Kobayashi, A. Endo, K. Torizuka, M. Washio, and F. Kannari, “Active synchronization of two mode-locked lasers with optical cross correlation,” Appl. Phys. B 75, 19–23 (2002).
[Crossref]

Watanabe, S.

T. Sekikawa, A. Kosuge, T. Kanai, and S. Watanabe, “Nonlinear optics in the extreme ultraviolet,” Nature 432, 605–608 (2004).
[Crossref] [PubMed]

Wei, Z.

Yang, T.

Yavuz, D. D.

M. Y. Shverdin, D. R. Walker, D. D. Yavuz, G. Y. Yin, and S. E. Harris, “Generation of a single-cycle optical pulse,” Phys. Rev. Lett. 94, 033904 (2005).
[Crossref] [PubMed]

Ye, J.

K. W. Holman, D. J. Jones, J. Ye, and E. Ippen, “Orthogonal control of the frequency comb dynamics of a mode-locked laser diode,” Opt. Lett. 28, 2405–2407 (2003).
[Crossref] [PubMed]

R. K. Shelton, S. M. Foreman, L-S. Ma, J. L. Hall, H. C. Kapteyn, M. M. Murnane, M. Notcutt, and J. Ye, “Subfemtosecond timing jitter between two independent, actively synchronized, mode-locked lasers,” Opt. Lett. 27, 312–314 (2002).
[Crossref]

R. K. Shelton, L. Ma, H. C. Kapteyn, M. Murnane, J. L. Hall, and J. Ye, “Phase-coherent optical pulse synthesis from separate femtosecond lasers,” Science 293, 1286–1289 (2001).
[Crossref] [PubMed]

L-S. Ma, R. K. Shelton, H. C. Kapteyn, M. M. Murnane, and J. Ye, “Sub-10-femtosecond active synchronization of two passively mode-locked Ti:sapphire oscillators,” Phys. Rev. A 64, 021802(R) (2001).
[Crossref]

Yin, G. Y.

M. Y. Shverdin, D. R. Walker, D. D. Yavuz, G. Y. Yin, and S. E. Harris, “Generation of a single-cycle optical pulse,” Phys. Rev. Lett. 94, 033904 (2005).
[Crossref] [PubMed]

Yoshitomi, D.

Zhang, J.

Zhang, Z.

Zhao, L.

Appl. Phys. B (2)

Z. Wei, Y. Kobayashi, and K. Torizuka, “Passive synchronization between femtosecond Ti:sapphire and Cr:forsterite lasers,” Appl. Phys. B 74, S171–S176 (2002).
[Crossref]

T. Miura, H. Nagaoka, K. Takasago, K. Kobayashi, A. Endo, K. Torizuka, M. Washio, and F. Kannari, “Active synchronization of two mode-locked lasers with optical cross correlation,” Appl. Phys. B 75, 19–23 (2002).
[Crossref]

Appl. Phys. Lett. (1)

Y. Kobayashi, H. Takada, M. Kakehata, and K. Torizuka, “Phase-coherent multicolor femtosecond pulse generation,” Appl. Phys. Lett. 83, 839–841 (2003).
[Crossref]

IEEE Sel. Top. Quantum. Electron. (1)

C. Fürst, A. Leitenstorfer, and A. Laubereau, “Mechanism for self-synchronization of femtosecond pulses in a two-color Ti:Sapphire laser,” IEEE Sel. Top. Quantum. Electron. 2, 473–479 (1996).
[Crossref]

Jpn. J. Appl. Phys. (1)

K. Shimoda, “Theory and application of optical subharmonic oscillator,” Jpn. J. Appl. Phys. 34, 3566–3569 (1995).
[Crossref]

Nature (2)

M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, “Attosecond metrology,” Nature 414, 509–513 (2001).
[Crossref] [PubMed]

T. Sekikawa, A. Kosuge, T. Kanai, and S. Watanabe, “Nonlinear optics in the extreme ultraviolet,” Nature 432, 605–608 (2004).
[Crossref] [PubMed]

Opt. Comm. (1)

T. W. Hänsch, “A proposed sub-femtosecond pulse synthesizer using separate phase-locked laser oscillators,” Opt. Comm. 80, 71–75 (1990).
[Crossref]

Opt. Lett. (14)

A. Leitenstorfer, C. Fürst, and A. Laubereau, “Widely tunable two-color mode-locked Ti:sapphire laser with pulse jitter of less than 2 fs,” Opt. Lett. 20, 916–918(1995).
[Crossref] [PubMed]

Z. Wei, Y. Kobayashi, Z. Zhang, and K. Torizuka, “Generation of two-color femtosecond pulses by self-synchronizing Ti:sapphire and Cr:forsterite lasers,” Opt. Lett. 26, 1806–1808 (2001).
[Crossref]

R. K. Shelton, S. M. Foreman, L-S. Ma, J. L. Hall, H. C. Kapteyn, M. M. Murnane, M. Notcutt, and J. Ye, “Subfemtosecond timing jitter between two independent, actively synchronized, mode-locked lasers,” Opt. Lett. 27, 312–314 (2002).
[Crossref]

Z. Wei, Y. Kobayashi, and K. Torizuka, “Relative carrier-envelope phase dynamics between passively synchronized Ti:sapphire and Cr:forsterite lasers,” Opt. Lett. 27, 2121–2123 (2002).
[Crossref]

A. Bartels, S. A. Diddams, T. M. Ramond, and L. Hollberg, “Mode-locked laser pulse trains with subfemtosecond timing jitter synchronized to an optical reference oscillator,” Opt. Lett. 28, 663–665 (2003).
[Crossref] [PubMed]

Y. Kobayashi, K. Torizuka, and Z. Wei, “Control of relative carrier-envelope phase slip in femtosecond Ti:sapphire and Cr:forsterite lasers,” Opt. Lett. 28, 746–748 (2003).
[Crossref] [PubMed]

T. R. Schibli, J. Kim, O. Kuzucu, J. T. Gopinath, S. N. Tandon, G. S. Petrich, L. A. Kolodziejski, J. G. Fujimoto, E. P. Ippen, and F. X. Kaertner, “Attosecond active synchronization of passively mode-locked lasers by balanced cross correlation,” Opt. Lett. 28, 947–949 (2003).
[Crossref] [PubMed]

Y. Kobayashi, H. Takada, M. Kakehata, and K. Torizuka, “Optical phase locking among femtosecond subharmonic pulses,” Opt. Lett. 28, 1377–1379 (2003).
[Crossref] [PubMed]

K. W. Holman, D. J. Jones, J. Ye, and E. Ippen, “Orthogonal control of the frequency comb dynamics of a mode-locked laser diode,” Opt. Lett. 28, 2405–2407 (2003).
[Crossref] [PubMed]

A. Bartels, N. R. Newbury, I. Thomann, L. Hollberg, and S. Diddams, “Broadband phase-coherent optical frequency synthesis with actively linked Ti:sapphire and Cr:forsterite femtosecond lasers,” Opt. Lett. 29, 403–405 (2004).
[Crossref] [PubMed]

M. Rusu, R. Herda, and O. G. Okhotnikov, “Passively synchronized erbium (1550-nm) and ytterbium (1040-nm) mode-locked fiber lasers sharing a cavity,” Opt. Lett. 29, 2246–2248 (2004).
[Crossref] [PubMed]

D. Yoshitomi, Y. Kobayashi, H. Takada, M. Kakehata, and K. Torizuka, “100-attosecond timing jitter between two-color mode-locked lasers by active-passive hybrid synchronization,” Opt. Lett. 30, 1408–1410 (2005).
[Crossref] [PubMed]

J. Tian, Z. Wei, P. Wang, H. Han, J. Zhang, L. Zhao, Z. Wang, J. Zhang, T. Yang, and J. Pan, “Independently tunable 1.3W femtosecond Ti:sapphire lasers passively synchronized with attosecond timing jitter and ultrahigh robustness,” Opt. Lett. 30, 2161–2163 (2005).
[Crossref] [PubMed]

Y. Kobayashi, D. Yoshitomi, M. Kakehata, H. Takada, and K. Torizuka, “Long-term optical phase locking between femtosecond Ti:sapphire and Cr:forsterite lasers,” Opt. Lett. 30, 2496–2498 (2005).
[Crossref] [PubMed]

Phys. Rev. A (1)

L-S. Ma, R. K. Shelton, H. C. Kapteyn, M. M. Murnane, and J. Ye, “Sub-10-femtosecond active synchronization of two passively mode-locked Ti:sapphire oscillators,” Phys. Rev. A 64, 021802(R) (2001).
[Crossref]

Phys. Rev. Lett. (1)

M. Y. Shverdin, D. R. Walker, D. D. Yavuz, G. Y. Yin, and S. E. Harris, “Generation of a single-cycle optical pulse,” Phys. Rev. Lett. 94, 033904 (2005).
[Crossref] [PubMed]

Science (1)

R. K. Shelton, L. Ma, H. C. Kapteyn, M. Murnane, J. L. Hall, and J. Ye, “Phase-coherent optical pulse synthesis from separate femtosecond lasers,” Science 293, 1286–1289 (2001).
[Crossref] [PubMed]

Other (1)

J. Kim, T. R. Schibli, L. Matos, H. Byunn, and F. X. Kärtner, “Phase-coherent spectrum from ultrabroadband Ti:sapphire and Cr:forsterite lasering covering the visible to the infrared,” in Joint Conference on Ultrafast Optics V and Applications of High Field and Short Wavelength Sources XI (Springer, 2005), paper M3-5.

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Figures (5)

Fig. 1.
Fig. 1. Experimental setup. EOM, electro-optic modulator; Pol., polarizer; PZT, piezoelectric transducer; PMT’s, photomultiplier tube; CM’s, chirped mirrors; WP’s, half-wave plates; SHG’s, second harmonic generators; SFG’s, sum-frequency generators; DP, delay plate; APD, avalanche photodiode.

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Fig. 2.
Fig. 2. Measured timing jitter at bandwidths of (a) 1 kHz, (b) 400 kHz, and (c) 1 MHz. The top and bottom figures are the results with and without phase locking, respectively.

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Fig. 3.
Fig. 3. Beat frequency variation at a bandwidth of 1 kHz (a) with and (b) without phase locking.

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Fig. 4.
Fig. 4. (a) Beat frequency and (b) relative delay response to the cavity-length modulation.

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Fig. 5.
Fig. 5. Power spectral density and integrated rms jitter (a) with and (b) without phase locking. Each color in power spectral density corrsponds to respective time-domain data with different bandwidths.

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Equations (6)

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Δ f beat = 4 Δ l f rep ⁄ λ TiS = 6 Δ l f rep ⁄ λ CrF ,
Δ I cc = I 0 d g cc ( τ ) d τ Δ τ + g cc ( τ ) Δ I 0 .
I bcc ( τ ) = I cc ( τ + τ 0 ⁄ 2 ) − I cc ( τ − τ 0 ⁄ 2 )
= I 0 { g cc ( τ + τ 0 ⁄ 2 ) − g cc ( τ − τ 0 ⁄ 2 ) } ,
Δ I bcc ( τ ) = I 0 { d g cc ( τ ) d τ ∣ τ + τ 0 ⁄ 2 − d g cc ( τ ) d τ ∣ τ − τ 0 ⁄ 2 } Δ τ
+ { g cc ( τ + τ 0 / 2 ) − g cc ( τ − τ 0 / 2 ) } Δ I 0 .

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