Abstract

For f-to-2f interferometers based on white-light generation in sapphire plates, the accuracy of the carrier-envelope (CE) phase measurement and stabilization is affected by the laser energy fluctuation. The coupling coefficient between the CE phase and the laser energy has been determined by modulating the pulse energy in an in-loop f-to-2f interferometer while measuring the CE phase variation with an out-loop interferometer. When the total spectral phase measured by the in-loop interferometer was locked, a 1% change in laser energy caused a 160mrad shift in the CE phase of the output pulses.

© 2007 Optical Society of America

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Corrections

Chengquan Li, Eric Moon, He Wang, Hiroki Mashiko, Christopher M. Nakamura, Jason Tackett, and Zenghu Chang, "Determining the phase-energy coupling coefficient in carrier-envelope phase measurements: erratum," Opt. Lett. 32, 2586-2586 (2007)
https://www.osapublishing.org/ol/abstract.cfm?uri=ol-32-17-2586

References

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2006 (3)

2004 (1)

S. Witte, R. T. Zinkstok, W. Hogervorst, and K. S. E. Eikema, Appl. Phys. B: Photophys. Laser Chem. 78, 5 (2004).
[CrossRef]

2003 (1)

A. Baltuska, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovler, T. Udem, T. W. Hänsch, and F. Krausz, IEEE J. Sel. Top. Quantum Electron. 9, 972 (2003).
[CrossRef]

2002 (1)

M. Kakehata, Y. Fujihira, H. Takada, Y. Kobayashi, K. Torizuka, T. Homma, and H. Takahashi, Appl. Phys. B: Photophys. Laser Chem. 74, S43 (2002).
[CrossRef]

2001 (2)

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. de Silvestri, Nature 414, 182 (2001).
[CrossRef] [PubMed]

M. Kakehata, H. Takada, Y. Kobayashi, K. Torizuka, Y. Fujihara, T. Homma, and H. Takahashi, Opt. Lett. 26, 1436 (2001).
[CrossRef]

2000 (1)

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, Science 288, 635 (2000).
[CrossRef] [PubMed]

1999 (1)

A. W. Albrecht, J. D. Hybl, S. M. G. Faeder, and D. M. Jonas, J. Chem. Phys. 111, 10934 (1999).
[CrossRef]

1995 (1)

Albrecht, A. W.

A. W. Albrecht, J. D. Hybl, S. M. G. Faeder, and D. M. Jonas, J. Chem. Phys. 111, 10934 (1999).
[CrossRef]

Baltuska, A.

A. Baltuska, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovler, T. Udem, T. W. Hänsch, and F. Krausz, IEEE J. Sel. Top. Quantum Electron. 9, 972 (2003).
[CrossRef]

Chang, Z.

Cheriaux, G.

Cocke, C. L.

Corwin, K. L.

Cundiff, S. T.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, Science 288, 635 (2000).
[CrossRef] [PubMed]

de Silvestri, S.

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. de Silvestri, Nature 414, 182 (2001).
[CrossRef] [PubMed]

Diddams, S. A.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, Science 288, 635 (2000).
[CrossRef] [PubMed]

Duan, Z.

Eikema, K. S. E.

S. Witte, R. T. Zinkstok, W. Hogervorst, and K. S. E. Eikema, Appl. Phys. B: Photophys. Laser Chem. 78, 5 (2004).
[CrossRef]

Faeder, S. M. G.

A. W. Albrecht, J. D. Hybl, S. M. G. Faeder, and D. M. Jonas, J. Chem. Phys. 111, 10934 (1999).
[CrossRef]

Fujihara, Y.

Fujihira, Y.

M. Kakehata, Y. Fujihira, H. Takada, Y. Kobayashi, K. Torizuka, T. Homma, and H. Takahashi, Appl. Phys. B: Photophys. Laser Chem. 74, S43 (2002).
[CrossRef]

Goulielmakis, E.

A. Baltuska, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovler, T. Udem, T. W. Hänsch, and F. Krausz, IEEE J. Sel. Top. Quantum Electron. 9, 972 (2003).
[CrossRef]

Grasbon, F.

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. de Silvestri, Nature 414, 182 (2001).
[CrossRef] [PubMed]

Hall, J. L.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, Science 288, 635 (2000).
[CrossRef] [PubMed]

Hänsch, T. W.

A. Baltuska, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovler, T. Udem, T. W. Hänsch, and F. Krausz, IEEE J. Sel. Top. Quantum Electron. 9, 972 (2003).
[CrossRef]

Hogervorst, W.

S. Witte, R. T. Zinkstok, W. Hogervorst, and K. S. E. Eikema, Appl. Phys. B: Photophys. Laser Chem. 78, 5 (2004).
[CrossRef]

Homma, T.

M. Kakehata, Y. Fujihira, H. Takada, Y. Kobayashi, K. Torizuka, T. Homma, and H. Takahashi, Appl. Phys. B: Photophys. Laser Chem. 74, S43 (2002).
[CrossRef]

M. Kakehata, H. Takada, Y. Kobayashi, K. Torizuka, Y. Fujihara, T. Homma, and H. Takahashi, Opt. Lett. 26, 1436 (2001).
[CrossRef]

Hybl, J. D.

A. W. Albrecht, J. D. Hybl, S. M. G. Faeder, and D. M. Jonas, J. Chem. Phys. 111, 10934 (1999).
[CrossRef]

Joffre, M.

Jonas, D. M.

A. W. Albrecht, J. D. Hybl, S. M. G. Faeder, and D. M. Jonas, J. Chem. Phys. 111, 10934 (1999).
[CrossRef]

Jones, D. J.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, Science 288, 635 (2000).
[CrossRef] [PubMed]

Kakehata, M.

M. Kakehata, Y. Fujihira, H. Takada, Y. Kobayashi, K. Torizuka, T. Homma, and H. Takahashi, Appl. Phys. B: Photophys. Laser Chem. 74, S43 (2002).
[CrossRef]

M. Kakehata, H. Takada, Y. Kobayashi, K. Torizuka, Y. Fujihara, T. Homma, and H. Takahashi, Opt. Lett. 26, 1436 (2001).
[CrossRef]

Kienberger, R.

A. Baltuska, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovler, T. Udem, T. W. Hänsch, and F. Krausz, IEEE J. Sel. Top. Quantum Electron. 9, 972 (2003).
[CrossRef]

Kobayashi, Y.

M. Kakehata, Y. Fujihira, H. Takada, Y. Kobayashi, K. Torizuka, T. Homma, and H. Takahashi, Appl. Phys. B: Photophys. Laser Chem. 74, S43 (2002).
[CrossRef]

M. Kakehata, H. Takada, Y. Kobayashi, K. Torizuka, Y. Fujihara, T. Homma, and H. Takahashi, Opt. Lett. 26, 1436 (2001).
[CrossRef]

Krausz, F.

A. Baltuska, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovler, T. Udem, T. W. Hänsch, and F. Krausz, IEEE J. Sel. Top. Quantum Electron. 9, 972 (2003).
[CrossRef]

Lepetit, L.

Li, C.

Maharjan, C. M.

Mashiko, H.

Moon, E.

Nakamura, C. M.

Nisoli, M.

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. de Silvestri, Nature 414, 182 (2001).
[CrossRef] [PubMed]

Paulus, G. G.

C. Li, E. Moon, H. Mashiko, C. M. Nakamura, P. Ranitovic, C. M. Maharjan, C. L. Cocke, Z. Chang, and G. G. Paulus, Opt. Express 14, 11468 (2006).
[CrossRef] [PubMed]

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. de Silvestri, Nature 414, 182 (2001).
[CrossRef] [PubMed]

Priori, E.

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. de Silvestri, Nature 414, 182 (2001).
[CrossRef] [PubMed]

Ranitovic, P.

Ranka, J. K.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, Science 288, 635 (2000).
[CrossRef] [PubMed]

Shan, B.

B. Shan, C. Wang, and Z. Chang, "High peak-power kilohertz laser system employing single-stage multi-pass amplification," U.S. patent 7,050,474 (May 23, 2006).

Stagira, S.

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. de Silvestri, Nature 414, 182 (2001).
[CrossRef] [PubMed]

Stentz, A.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, Science 288, 635 (2000).
[CrossRef] [PubMed]

Tackett, J.

Takada, H.

M. Kakehata, Y. Fujihira, H. Takada, Y. Kobayashi, K. Torizuka, T. Homma, and H. Takahashi, Appl. Phys. B: Photophys. Laser Chem. 74, S43 (2002).
[CrossRef]

M. Kakehata, H. Takada, Y. Kobayashi, K. Torizuka, Y. Fujihara, T. Homma, and H. Takahashi, Opt. Lett. 26, 1436 (2001).
[CrossRef]

Takahashi, H.

M. Kakehata, Y. Fujihira, H. Takada, Y. Kobayashi, K. Torizuka, T. Homma, and H. Takahashi, Appl. Phys. B: Photophys. Laser Chem. 74, S43 (2002).
[CrossRef]

M. Kakehata, H. Takada, Y. Kobayashi, K. Torizuka, Y. Fujihara, T. Homma, and H. Takahashi, Opt. Lett. 26, 1436 (2001).
[CrossRef]

Torizuka, K.

M. Kakehata, Y. Fujihira, H. Takada, Y. Kobayashi, K. Torizuka, T. Homma, and H. Takahashi, Appl. Phys. B: Photophys. Laser Chem. 74, S43 (2002).
[CrossRef]

M. Kakehata, H. Takada, Y. Kobayashi, K. Torizuka, Y. Fujihara, T. Homma, and H. Takahashi, Opt. Lett. 26, 1436 (2001).
[CrossRef]

Udem, T.

A. Baltuska, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovler, T. Udem, T. W. Hänsch, and F. Krausz, IEEE J. Sel. Top. Quantum Electron. 9, 972 (2003).
[CrossRef]

Uiberacker, M.

A. Baltuska, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovler, T. Udem, T. W. Hänsch, and F. Krausz, IEEE J. Sel. Top. Quantum Electron. 9, 972 (2003).
[CrossRef]

Villoresi, P.

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. de Silvestri, Nature 414, 182 (2001).
[CrossRef] [PubMed]

Walther, H.

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. de Silvestri, Nature 414, 182 (2001).
[CrossRef] [PubMed]

Wang, C.

B. Shan, C. Wang, and Z. Chang, "High peak-power kilohertz laser system employing single-stage multi-pass amplification," U.S. patent 7,050,474 (May 23, 2006).

Washburn, B. R.

Windeler, R. S.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, Science 288, 635 (2000).
[CrossRef] [PubMed]

Witte, S.

S. Witte, R. T. Zinkstok, W. Hogervorst, and K. S. E. Eikema, Appl. Phys. B: Photophys. Laser Chem. 78, 5 (2004).
[CrossRef]

Yakovler, V. S.

A. Baltuska, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovler, T. Udem, T. W. Hänsch, and F. Krausz, IEEE J. Sel. Top. Quantum Electron. 9, 972 (2003).
[CrossRef]

Zinkstok, R. T.

S. Witte, R. T. Zinkstok, W. Hogervorst, and K. S. E. Eikema, Appl. Phys. B: Photophys. Laser Chem. 78, 5 (2004).
[CrossRef]

Appl. Phys. B: Photophys. Laser Chem. (2)

M. Kakehata, Y. Fujihira, H. Takada, Y. Kobayashi, K. Torizuka, T. Homma, and H. Takahashi, Appl. Phys. B: Photophys. Laser Chem. 74, S43 (2002).
[CrossRef]

S. Witte, R. T. Zinkstok, W. Hogervorst, and K. S. E. Eikema, Appl. Phys. B: Photophys. Laser Chem. 78, 5 (2004).
[CrossRef]

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

A. Baltuska, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovler, T. Udem, T. W. Hänsch, and F. Krausz, IEEE J. Sel. Top. Quantum Electron. 9, 972 (2003).
[CrossRef]

J. Chem. Phys. (1)

A. W. Albrecht, J. D. Hybl, S. M. G. Faeder, and D. M. Jonas, J. Chem. Phys. 111, 10934 (1999).
[CrossRef]

J. Opt. Soc. Am. B (1)

Nature (1)

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. de Silvestri, Nature 414, 182 (2001).
[CrossRef] [PubMed]

Opt. Express (2)

Opt. Lett. (2)

Science (1)

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, Science 288, 635 (2000).
[CrossRef] [PubMed]

Other (1)

B. Shan, C. Wang, and Z. Chang, "High peak-power kilohertz laser system employing single-stage multi-pass amplification," U.S. patent 7,050,474 (May 23, 2006).

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Figures (3)

Fig. 1
Fig. 1

Experimental setup for determining the phase-energy coupling factor. In the f-to- 2 f interferometers: VND, variable neutral density filter; L, focusing lens; SP, sapphire plate; BBO, frequency-doubling crystal; P, polarizer; Spec., spectrometer and computer. In the stretcher and compressor: G1–G4, gratings; PZT, piezoelectric transducer; Ml and M2, mirrors; BS, beam splitter.

Fig. 2
Fig. 2

Temporal evolution of measured phase and laser energy. (a) Modulated in-loop pulse energy, (b) measured out-loop phase, and (c) the in-loop phase and out-loop energy.

Fig. 3
Fig. 3

Retrieved experimental results versus the laser energy. (a) Relative CE phase, (b) delay time, and (c) the residual intercept after the subtraction of the CE phase.

Equations (2)

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S ( ω ) = I WL ( ω ) + I SHG ( ω ) + 2 I WL ( ω ) I SHG ( ω ) × cos [ ϕ SHG ( ω ) ϕ WL ( ω ) ω τ 0 + φ CE WL ] ,
Δ φ CE = Δ Φ ( ω ) Δ [ ϕ SHG ( ω ) ϕ WL ( ω ) ω τ 0 + δ φ CE ] .

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