Abstract

In this work we demonstrate the development of a complete analog feedback loop for the control of the carrier-envelope phase (CEP) of a high-average power (20 W) laser operating at 10 kHz repetition rate. The proposed method combines a detection scheme working on a single-shot basis at the full-repetition-rate of the laser system with a fast actuator based either on an acousto-optic or on an electro-optic crystal. The feedback loop is used to correct the CEP fluctuations introduced by the amplification process demonstrating a CEP residual noise of 320 mrad measured on a single-shot basis. The comparison with a feedback loop operating at a lower sampling rate indicates an improvement up to 45% in the residual noise. The measurement of the CEP drift for different integration times clearly evidences the importance of the single-shot characterization of the residual CEP drift. The demonstrated scheme could be efficiently applied for systems approaching the 100 kHz repetition rate regime.

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    [CrossRef]

2011

2010

S. Koke, C. Grebing, H. Frei, A. Anderson, A. Assion, and G. Steinmeyer, “Direct frequency comb synthesis with arbitrary offset and shot-noise-limited phase noise,” Nature Photon.4, 462–465 (2010).
[CrossRef]

2009

2008

2006

C. Q. Li, E. Moon, and Z. H. Chang, “Carrier-envelope phase shift caused by variation of grating separation,” Opt. Lett.31, 3113–3115 (2006).
[CrossRef] [PubMed]

T. Oksenhendler, D. Kaplan, P. Tournois, G. M. Greetham, and F. Estable, “Intracavity acousto-optic programmable gain control for ultra-wide-band regenerative amplifiers,” Appl. Phys. B83, 491–494 (2006).
[CrossRef]

2004

M. G. Schätzel, F. Lindner, G. G. Paulus, H. Walther, E. Goulielmakis, A. Baltuška, M. Lezius, and F. Krausz, “Long-term stabilization of the carrier-envelope phase of few-cycle laser pulses,” Appl. Phys. B79, 1021–1025 (2004).
[CrossRef]

X. Liu, H. Rottke, E. Eremina, W. Sandner, E. Goulielmakis, K. O. Keeffe, M. Lezius, F. Krausz, F. Lindner, M. G. Schätzel, G. G. Paulus, and H. Walther, “Nonsequential double ionization at the single-optical-cycle limit,” Phys. Rev. Lett.93, 263001 (2004).
[CrossRef]

2003

A. Baltuška, T. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, C. Gohle, R. Holzwarth, V. S. Yakoviev, A. Scrinzi, T. W. Hänsch, and F. Krausz, “Attosecond control of electronic processes by intense light fields,” Nature421, 611–615 (2003).
[CrossRef]

G. G. Paulus, F. Lindner, H. Walther, A. Baltuška, E. Goulielmakis, M. Lezius, and F. Krausz, “Measurement of the phase of few-cycle laser pulses,” Phys. Rev. Lett.91, 253004 (2003).
[CrossRef]

A. Baltuška, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovlev, T. Udem, T. W. Hänsch, and F. Krausz, “Phase-controlled amplification of few-cycle laser pulses,” IEEE J. Sel. Top. Quantum Electron.9, 972–989 (2003).
[CrossRef]

2001

2000

F. Verluise, V. Laude, Z. Cheng, C. Spielmann, and P. Tournois, “Amplitude and phase control of ultrashort pulses by use of an acousto-optic programmable dispersive filter: pulse compression and shaping,” Opt. Lett.25, 575–577 (2000).
[CrossRef]

M. Mehendale, S. A. Mitchell, J. P. Likforman, D. M. Villeneuve, and P. B. Corkum, “Method for single-shot measurement of the carrier envelope phase of a few-cycle laser pulse,” Opt. Lett.25, 1672–1674 (2000).
[CrossRef]

R. Holzwarth, T. Udem, T. W. Hänsch, J. C. Knight, W. J. Wadsworth, and P. S. J. Russell, “Optical frequency synthesizer for precision spectroscopy,” Phys. Rev. Lett.85, 2264–2267 (2000).
[CrossRef] [PubMed]

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis,” Science288, 635–639 (2000).
[CrossRef] [PubMed]

1996

’Oliveira, P. D.

Anderson, A.

S. Koke, C. Grebing, H. Frei, A. Anderson, A. Assion, and G. Steinmeyer, “Direct frequency comb synthesis with arbitrary offset and shot-noise-limited phase noise,” Nature Photon.4, 462–465 (2010).
[CrossRef]

Arnold, C. L.

Assion, A.

S. Koke, C. Grebing, H. Frei, A. Anderson, A. Assion, and G. Steinmeyer, “Direct frequency comb synthesis with arbitrary offset and shot-noise-limited phase noise,” Nature Photon.4, 462–465 (2010).
[CrossRef]

Baltuška, A.

M. G. Schätzel, F. Lindner, G. G. Paulus, H. Walther, E. Goulielmakis, A. Baltuška, M. Lezius, and F. Krausz, “Long-term stabilization of the carrier-envelope phase of few-cycle laser pulses,” Appl. Phys. B79, 1021–1025 (2004).
[CrossRef]

A. Baltuška, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovlev, T. Udem, T. W. Hänsch, and F. Krausz, “Phase-controlled amplification of few-cycle laser pulses,” IEEE J. Sel. Top. Quantum Electron.9, 972–989 (2003).
[CrossRef]

G. G. Paulus, F. Lindner, H. Walther, A. Baltuška, E. Goulielmakis, M. Lezius, and F. Krausz, “Measurement of the phase of few-cycle laser pulses,” Phys. Rev. Lett.91, 253004 (2003).
[CrossRef]

A. Baltuška, T. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, C. Gohle, R. Holzwarth, V. S. Yakoviev, A. Scrinzi, T. W. Hänsch, and F. Krausz, “Attosecond control of electronic processes by intense light fields,” Nature421, 611–615 (2003).
[CrossRef]

Borchers, B.

Brabec, T.

Canova, L.

Chang, Z. H.

Chen, X.

Cheng, Z.

Chu, J.

C. Li, A. Schill, F. Emaury, J. Chu, P. Fru, J.-M. Hritier, and W. Tulloch, Single Shot Carrier Envelope Phase Stabilization of a 10 kHz, 10 W Regenerative Amplifier (SpringerBerlin Heidelberg, 2012), vol. 125 of Springer Proceedings in Physics, chap. 2, pp. 9–13.

Comte, M.

Corkum, P. B.

Cundiff, S. T.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis,” Science288, 635–639 (2000).
[CrossRef] [PubMed]

Demengeot, P.

Diddams, S. A.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis,” Science288, 635–639 (2000).
[CrossRef] [PubMed]

Emaury, F.

C. Li, A. Schill, F. Emaury, J. Chu, P. Fru, J.-M. Hritier, and W. Tulloch, Single Shot Carrier Envelope Phase Stabilization of a 10 kHz, 10 W Regenerative Amplifier (SpringerBerlin Heidelberg, 2012), vol. 125 of Springer Proceedings in Physics, chap. 2, pp. 9–13.

Eremina, E.

X. Liu, H. Rottke, E. Eremina, W. Sandner, E. Goulielmakis, K. O. Keeffe, M. Lezius, F. Krausz, F. Lindner, M. G. Schätzel, G. G. Paulus, and H. Walther, “Nonsequential double ionization at the single-optical-cycle limit,” Phys. Rev. Lett.93, 263001 (2004).
[CrossRef]

Estable, F.

T. Oksenhendler, D. Kaplan, P. Tournois, G. M. Greetham, and F. Estable, “Intracavity acousto-optic programmable gain control for ultra-wide-band regenerative amplifiers,” Appl. Phys. B83, 491–494 (2006).
[CrossRef]

Fordell, T.

Forget, N.

Frei, H.

S. Koke, C. Grebing, H. Frei, A. Anderson, A. Assion, and G. Steinmeyer, “Direct frequency comb synthesis with arbitrary offset and shot-noise-limited phase noise,” Nature Photon.4, 462–465 (2010).
[CrossRef]

Fru, P.

C. Li, A. Schill, F. Emaury, J. Chu, P. Fru, J.-M. Hritier, and W. Tulloch, Single Shot Carrier Envelope Phase Stabilization of a 10 kHz, 10 W Regenerative Amplifier (SpringerBerlin Heidelberg, 2012), vol. 125 of Springer Proceedings in Physics, chap. 2, pp. 9–13.

Fujihira, Y.

Garzella, D.

Gobert, O.

Gohle, C.

A. Baltuška, T. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, C. Gohle, R. Holzwarth, V. S. Yakoviev, A. Scrinzi, T. W. Hänsch, and F. Krausz, “Attosecond control of electronic processes by intense light fields,” Nature421, 611–615 (2003).
[CrossRef]

Goulielmakis, E.

X. Liu, H. Rottke, E. Eremina, W. Sandner, E. Goulielmakis, K. O. Keeffe, M. Lezius, F. Krausz, F. Lindner, M. G. Schätzel, G. G. Paulus, and H. Walther, “Nonsequential double ionization at the single-optical-cycle limit,” Phys. Rev. Lett.93, 263001 (2004).
[CrossRef]

M. G. Schätzel, F. Lindner, G. G. Paulus, H. Walther, E. Goulielmakis, A. Baltuška, M. Lezius, and F. Krausz, “Long-term stabilization of the carrier-envelope phase of few-cycle laser pulses,” Appl. Phys. B79, 1021–1025 (2004).
[CrossRef]

G. G. Paulus, F. Lindner, H. Walther, A. Baltuška, E. Goulielmakis, M. Lezius, and F. Krausz, “Measurement of the phase of few-cycle laser pulses,” Phys. Rev. Lett.91, 253004 (2003).
[CrossRef]

A. Baltuška, T. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, C. Gohle, R. Holzwarth, V. S. Yakoviev, A. Scrinzi, T. W. Hänsch, and F. Krausz, “Attosecond control of electronic processes by intense light fields,” Nature421, 611–615 (2003).
[CrossRef]

A. Baltuška, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovlev, T. Udem, T. W. Hänsch, and F. Krausz, “Phase-controlled amplification of few-cycle laser pulses,” IEEE J. Sel. Top. Quantum Electron.9, 972–989 (2003).
[CrossRef]

Grebing, C.

S. Koke, C. Grebing, H. Frei, A. Anderson, A. Assion, and G. Steinmeyer, “Direct frequency comb synthesis with arbitrary offset and shot-noise-limited phase noise,” Nature Photon.4, 462–465 (2010).
[CrossRef]

S. Koke, C. Grebing, B. Manschwetus, and G. Steinmeyer, “Fast f-to-2f interferometer for a direct measurement of the carrier-envelope phase drift of ultrashort amplified laser pulses,” Opt. Lett.33, 2545–2547 (2008).
[CrossRef] [PubMed]

Greetham, G. M.

T. Oksenhendler, D. Kaplan, P. Tournois, G. M. Greetham, and F. Estable, “Intracavity acousto-optic programmable gain control for ultra-wide-band regenerative amplifiers,” Appl. Phys. B83, 491–494 (2006).
[CrossRef]

Guillaumet, D.

Hall, J. L.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis,” Science288, 635–639 (2000).
[CrossRef] [PubMed]

Hänsch, T. W.

A. Baltuška, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovlev, T. Udem, T. W. Hänsch, and F. Krausz, “Phase-controlled amplification of few-cycle laser pulses,” IEEE J. Sel. Top. Quantum Electron.9, 972–989 (2003).
[CrossRef]

A. Baltuška, T. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, C. Gohle, R. Holzwarth, V. S. Yakoviev, A. Scrinzi, T. W. Hänsch, and F. Krausz, “Attosecond control of electronic processes by intense light fields,” Nature421, 611–615 (2003).
[CrossRef]

R. Holzwarth, T. Udem, T. W. Hänsch, J. C. Knight, W. J. Wadsworth, and P. S. J. Russell, “Optical frequency synthesizer for precision spectroscopy,” Phys. Rev. Lett.85, 2264–2267 (2000).
[CrossRef] [PubMed]

L. Xu, C. Spielmann, A. Poppe, T. Brabec, F. Krausz, and T. W. Hänsch, “Route to phase control of ultrashort light pulses,” Opt. Lett.21, 2008–2010 (1996).
[CrossRef] [PubMed]

Hentschel, M.

A. Baltuška, T. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, C. Gohle, R. Holzwarth, V. S. Yakoviev, A. Scrinzi, T. W. Hänsch, and F. Krausz, “Attosecond control of electronic processes by intense light fields,” Nature421, 611–615 (2003).
[CrossRef]

Hergott, J. F.

Herrmann, J.

Holzwarth, R.

A. Baltuška, T. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, C. Gohle, R. Holzwarth, V. S. Yakoviev, A. Scrinzi, T. W. Hänsch, and F. Krausz, “Attosecond control of electronic processes by intense light fields,” Nature421, 611–615 (2003).
[CrossRef]

R. Holzwarth, T. Udem, T. W. Hänsch, J. C. Knight, W. J. Wadsworth, and P. S. J. Russell, “Optical frequency synthesizer for precision spectroscopy,” Phys. Rev. Lett.85, 2264–2267 (2000).
[CrossRef] [PubMed]

Homma, T.

Hritier, J.-M.

C. Li, A. Schill, F. Emaury, J. Chu, P. Fru, J.-M. Hritier, and W. Tulloch, Single Shot Carrier Envelope Phase Stabilization of a 10 kHz, 10 W Regenerative Amplifier (SpringerBerlin Heidelberg, 2012), vol. 125 of Springer Proceedings in Physics, chap. 2, pp. 9–13.

Husakou, A.

Ivanov, M.

F. Krausz and M. Ivanov, “Attosecond physics,” Rev. Mod. Phys.81, 163–234 (2009).
[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, “Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis,” Science288, 635–639 (2000).
[CrossRef] [PubMed]

Jullien, A.

Kakehata, M.

Kaplan, D.

T. Oksenhendler, D. Kaplan, P. Tournois, G. M. Greetham, and F. Estable, “Intracavity acousto-optic programmable gain control for ultra-wide-band regenerative amplifiers,” Appl. Phys. B83, 491–494 (2006).
[CrossRef]

Keeffe, K. O.

X. Liu, H. Rottke, E. Eremina, W. Sandner, E. Goulielmakis, K. O. Keeffe, M. Lezius, F. Krausz, F. Lindner, M. G. Schätzel, G. G. Paulus, and H. Walther, “Nonsequential double ionization at the single-optical-cycle limit,” Phys. Rev. Lett.93, 263001 (2004).
[CrossRef]

Kienberger, R.

A. M. Sayler, T. Rathje, W. Müller, K. Rühle, R. Kienberger, and G. G. Paulus, “Precise, real-time, every-single-shot, carrier-envelope phase measurement of ultrashort laser pulses,” Opt. Lett.36, 1–3 (2011).
[CrossRef] [PubMed]

A. Baltuška, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovlev, T. Udem, T. W. Hänsch, and F. Krausz, “Phase-controlled amplification of few-cycle laser pulses,” IEEE J. Sel. Top. Quantum Electron.9, 972–989 (2003).
[CrossRef]

Knight, J. C.

R. Holzwarth, T. Udem, T. W. Hänsch, J. C. Knight, W. J. Wadsworth, and P. S. J. Russell, “Optical frequency synthesizer for precision spectroscopy,” Phys. Rev. Lett.85, 2264–2267 (2000).
[CrossRef] [PubMed]

Kobayashi, Y.

Koke, S.

Krausz, F.

F. Krausz and M. Ivanov, “Attosecond physics,” Rev. Mod. Phys.81, 163–234 (2009).
[CrossRef]

X. Liu, H. Rottke, E. Eremina, W. Sandner, E. Goulielmakis, K. O. Keeffe, M. Lezius, F. Krausz, F. Lindner, M. G. Schätzel, G. G. Paulus, and H. Walther, “Nonsequential double ionization at the single-optical-cycle limit,” Phys. Rev. Lett.93, 263001 (2004).
[CrossRef]

M. G. Schätzel, F. Lindner, G. G. Paulus, H. Walther, E. Goulielmakis, A. Baltuška, M. Lezius, and F. Krausz, “Long-term stabilization of the carrier-envelope phase of few-cycle laser pulses,” Appl. Phys. B79, 1021–1025 (2004).
[CrossRef]

G. G. Paulus, F. Lindner, H. Walther, A. Baltuška, E. Goulielmakis, M. Lezius, and F. Krausz, “Measurement of the phase of few-cycle laser pulses,” Phys. Rev. Lett.91, 253004 (2003).
[CrossRef]

A. Baltuška, T. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, C. Gohle, R. Holzwarth, V. S. Yakoviev, A. Scrinzi, T. W. Hänsch, and F. Krausz, “Attosecond control of electronic processes by intense light fields,” Nature421, 611–615 (2003).
[CrossRef]

A. Baltuška, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovlev, T. Udem, T. W. Hänsch, and F. Krausz, “Phase-controlled amplification of few-cycle laser pulses,” IEEE J. Sel. Top. Quantum Electron.9, 972–989 (2003).
[CrossRef]

L. Xu, C. Spielmann, A. Poppe, T. Brabec, F. Krausz, and T. W. Hänsch, “Route to phase control of ultrashort light pulses,” Opt. Lett.21, 2008–2010 (1996).
[CrossRef] [PubMed]

L’Huillier, A.

Laude, V.

Lepetit, F.

Lezius, M.

M. G. Schätzel, F. Lindner, G. G. Paulus, H. Walther, E. Goulielmakis, A. Baltuška, M. Lezius, and F. Krausz, “Long-term stabilization of the carrier-envelope phase of few-cycle laser pulses,” Appl. Phys. B79, 1021–1025 (2004).
[CrossRef]

X. Liu, H. Rottke, E. Eremina, W. Sandner, E. Goulielmakis, K. O. Keeffe, M. Lezius, F. Krausz, F. Lindner, M. G. Schätzel, G. G. Paulus, and H. Walther, “Nonsequential double ionization at the single-optical-cycle limit,” Phys. Rev. Lett.93, 263001 (2004).
[CrossRef]

G. G. Paulus, F. Lindner, H. Walther, A. Baltuška, E. Goulielmakis, M. Lezius, and F. Krausz, “Measurement of the phase of few-cycle laser pulses,” Phys. Rev. Lett.91, 253004 (2003).
[CrossRef]

Li, C.

C. Li, A. Schill, F. Emaury, J. Chu, P. Fru, J.-M. Hritier, and W. Tulloch, Single Shot Carrier Envelope Phase Stabilization of a 10 kHz, 10 W Regenerative Amplifier (SpringerBerlin Heidelberg, 2012), vol. 125 of Springer Proceedings in Physics, chap. 2, pp. 9–13.

Li, C. Q.

Likforman, J. P.

Lindner, F.

X. Liu, H. Rottke, E. Eremina, W. Sandner, E. Goulielmakis, K. O. Keeffe, M. Lezius, F. Krausz, F. Lindner, M. G. Schätzel, G. G. Paulus, and H. Walther, “Nonsequential double ionization at the single-optical-cycle limit,” Phys. Rev. Lett.93, 263001 (2004).
[CrossRef]

M. G. Schätzel, F. Lindner, G. G. Paulus, H. Walther, E. Goulielmakis, A. Baltuška, M. Lezius, and F. Krausz, “Long-term stabilization of the carrier-envelope phase of few-cycle laser pulses,” Appl. Phys. B79, 1021–1025 (2004).
[CrossRef]

G. G. Paulus, F. Lindner, H. Walther, A. Baltuška, E. Goulielmakis, M. Lezius, and F. Krausz, “Measurement of the phase of few-cycle laser pulses,” Phys. Rev. Lett.91, 253004 (2003).
[CrossRef]

Liu, X.

X. Liu, H. Rottke, E. Eremina, W. Sandner, E. Goulielmakis, K. O. Keeffe, M. Lezius, F. Krausz, F. Lindner, M. G. Schätzel, G. G. Paulus, and H. Walther, “Nonsequential double ionization at the single-optical-cycle limit,” Phys. Rev. Lett.93, 263001 (2004).
[CrossRef]

Lopez-Martens, R.

Manschwetus, B.

Mehendale, M.

Miranda, M.

Mitchell, S. A.

Moon, E.

Müller, W.

Oksenhendler, T.

T. Oksenhendler, D. Kaplan, P. Tournois, G. M. Greetham, and F. Estable, “Intracavity acousto-optic programmable gain control for ultra-wide-band regenerative amplifiers,” Appl. Phys. B83, 491–494 (2006).
[CrossRef]

Oliveira, P. D.

Paul, P. M.

Paulus, G. G.

A. M. Sayler, T. Rathje, W. Müller, K. Rühle, R. Kienberger, and G. G. Paulus, “Precise, real-time, every-single-shot, carrier-envelope phase measurement of ultrashort laser pulses,” Opt. Lett.36, 1–3 (2011).
[CrossRef] [PubMed]

M. G. Schätzel, F. Lindner, G. G. Paulus, H. Walther, E. Goulielmakis, A. Baltuška, M. Lezius, and F. Krausz, “Long-term stabilization of the carrier-envelope phase of few-cycle laser pulses,” Appl. Phys. B79, 1021–1025 (2004).
[CrossRef]

X. Liu, H. Rottke, E. Eremina, W. Sandner, E. Goulielmakis, K. O. Keeffe, M. Lezius, F. Krausz, F. Lindner, M. G. Schätzel, G. G. Paulus, and H. Walther, “Nonsequential double ionization at the single-optical-cycle limit,” Phys. Rev. Lett.93, 263001 (2004).
[CrossRef]

G. G. Paulus, F. Lindner, H. Walther, A. Baltuška, E. Goulielmakis, M. Lezius, and F. Krausz, “Measurement of the phase of few-cycle laser pulses,” Phys. Rev. Lett.91, 253004 (2003).
[CrossRef]

Perdrix, M.

Poppe, A.

Ranka, J. K.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis,” Science288, 635–639 (2000).
[CrossRef] [PubMed]

Rathje, T.

Rottke, H.

X. Liu, H. Rottke, E. Eremina, W. Sandner, E. Goulielmakis, K. O. Keeffe, M. Lezius, F. Krausz, F. Lindner, M. G. Schätzel, G. G. Paulus, and H. Walther, “Nonsequential double ionization at the single-optical-cycle limit,” Phys. Rev. Lett.93, 263001 (2004).
[CrossRef]

Rühle, K.

Russell, P. S. J.

R. Holzwarth, T. Udem, T. W. Hänsch, J. C. Knight, W. J. Wadsworth, and P. S. J. Russell, “Optical frequency synthesizer for precision spectroscopy,” Phys. Rev. Lett.85, 2264–2267 (2000).
[CrossRef] [PubMed]

Sandner, W.

X. Liu, H. Rottke, E. Eremina, W. Sandner, E. Goulielmakis, K. O. Keeffe, M. Lezius, F. Krausz, F. Lindner, M. G. Schätzel, G. G. Paulus, and H. Walther, “Nonsequential double ionization at the single-optical-cycle limit,” Phys. Rev. Lett.93, 263001 (2004).
[CrossRef]

Sayler, A. M.

Schätzel, M. G.

M. G. Schätzel, F. Lindner, G. G. Paulus, H. Walther, E. Goulielmakis, A. Baltuška, M. Lezius, and F. Krausz, “Long-term stabilization of the carrier-envelope phase of few-cycle laser pulses,” Appl. Phys. B79, 1021–1025 (2004).
[CrossRef]

X. Liu, H. Rottke, E. Eremina, W. Sandner, E. Goulielmakis, K. O. Keeffe, M. Lezius, F. Krausz, F. Lindner, M. G. Schätzel, G. G. Paulus, and H. Walther, “Nonsequential double ionization at the single-optical-cycle limit,” Phys. Rev. Lett.93, 263001 (2004).
[CrossRef]

Schill, A.

C. Li, A. Schill, F. Emaury, J. Chu, P. Fru, J.-M. Hritier, and W. Tulloch, Single Shot Carrier Envelope Phase Stabilization of a 10 kHz, 10 W Regenerative Amplifier (SpringerBerlin Heidelberg, 2012), vol. 125 of Springer Proceedings in Physics, chap. 2, pp. 9–13.

Scrinzi, A.

A. Baltuška, T. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, C. Gohle, R. Holzwarth, V. S. Yakoviev, A. Scrinzi, T. W. Hänsch, and F. Krausz, “Attosecond control of electronic processes by intense light fields,” Nature421, 611–615 (2003).
[CrossRef]

Spielmann, C.

Steinmeyer, G.

Stentz, A.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis,” Science288, 635–639 (2000).
[CrossRef] [PubMed]

Takada, H.

Takahashi, H.

Tcherbakoff, O.

Torizuka, K.

Tournois, P.

T. Oksenhendler, D. Kaplan, P. Tournois, G. M. Greetham, and F. Estable, “Intracavity acousto-optic programmable gain control for ultra-wide-band regenerative amplifiers,” Appl. Phys. B83, 491–494 (2006).
[CrossRef]

F. Verluise, V. Laude, Z. Cheng, C. Spielmann, and P. Tournois, “Amplitude and phase control of ultrashort pulses by use of an acousto-optic programmable dispersive filter: pulse compression and shaping,” Opt. Lett.25, 575–577 (2000).
[CrossRef]

Tulloch, W.

C. Li, A. Schill, F. Emaury, J. Chu, P. Fru, J.-M. Hritier, and W. Tulloch, Single Shot Carrier Envelope Phase Stabilization of a 10 kHz, 10 W Regenerative Amplifier (SpringerBerlin Heidelberg, 2012), vol. 125 of Springer Proceedings in Physics, chap. 2, pp. 9–13.

Udem, T.

A. Baltuška, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovlev, T. Udem, T. W. Hänsch, and F. Krausz, “Phase-controlled amplification of few-cycle laser pulses,” IEEE J. Sel. Top. Quantum Electron.9, 972–989 (2003).
[CrossRef]

A. Baltuška, T. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, C. Gohle, R. Holzwarth, V. S. Yakoviev, A. Scrinzi, T. W. Hänsch, and F. Krausz, “Attosecond control of electronic processes by intense light fields,” Nature421, 611–615 (2003).
[CrossRef]

R. Holzwarth, T. Udem, T. W. Hänsch, J. C. Knight, W. J. Wadsworth, and P. S. J. Russell, “Optical frequency synthesizer for precision spectroscopy,” Phys. Rev. Lett.85, 2264–2267 (2000).
[CrossRef] [PubMed]

Uiberacker, M.

A. Baltuška, T. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, C. Gohle, R. Holzwarth, V. S. Yakoviev, A. Scrinzi, T. W. Hänsch, and F. Krausz, “Attosecond control of electronic processes by intense light fields,” Nature421, 611–615 (2003).
[CrossRef]

A. Baltuška, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovlev, T. Udem, T. W. Hänsch, and F. Krausz, “Phase-controlled amplification of few-cycle laser pulses,” IEEE J. Sel. Top. Quantum Electron.9, 972–989 (2003).
[CrossRef]

Verluise, F.

Viala, F.

Villeneuve, D. M.

Wadsworth, W. J.

R. Holzwarth, T. Udem, T. W. Hänsch, J. C. Knight, W. J. Wadsworth, and P. S. J. Russell, “Optical frequency synthesizer for precision spectroscopy,” Phys. Rev. Lett.85, 2264–2267 (2000).
[CrossRef] [PubMed]

Walther, H.

X. Liu, H. Rottke, E. Eremina, W. Sandner, E. Goulielmakis, K. O. Keeffe, M. Lezius, F. Krausz, F. Lindner, M. G. Schätzel, G. G. Paulus, and H. Walther, “Nonsequential double ionization at the single-optical-cycle limit,” Phys. Rev. Lett.93, 263001 (2004).
[CrossRef]

M. G. Schätzel, F. Lindner, G. G. Paulus, H. Walther, E. Goulielmakis, A. Baltuška, M. Lezius, and F. Krausz, “Long-term stabilization of the carrier-envelope phase of few-cycle laser pulses,” Appl. Phys. B79, 1021–1025 (2004).
[CrossRef]

G. G. Paulus, F. Lindner, H. Walther, A. Baltuška, E. Goulielmakis, M. Lezius, and F. Krausz, “Measurement of the phase of few-cycle laser pulses,” Phys. Rev. Lett.91, 253004 (2003).
[CrossRef]

Windeler, R. S.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis,” Science288, 635–639 (2000).
[CrossRef] [PubMed]

Xu, L.

Yakoviev, V. S.

A. Baltuška, T. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, C. Gohle, R. Holzwarth, V. S. Yakoviev, A. Scrinzi, T. W. Hänsch, and F. Krausz, “Attosecond control of electronic processes by intense light fields,” Nature421, 611–615 (2003).
[CrossRef]

Yakovlev, V. S.

A. Baltuška, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovlev, T. Udem, T. W. Hänsch, and F. Krausz, “Phase-controlled amplification of few-cycle laser pulses,” IEEE J. Sel. Top. Quantum Electron.9, 972–989 (2003).
[CrossRef]

Appl. Phys. B

M. G. Schätzel, F. Lindner, G. G. Paulus, H. Walther, E. Goulielmakis, A. Baltuška, M. Lezius, and F. Krausz, “Long-term stabilization of the carrier-envelope phase of few-cycle laser pulses,” Appl. Phys. B79, 1021–1025 (2004).
[CrossRef]

T. Oksenhendler, D. Kaplan, P. Tournois, G. M. Greetham, and F. Estable, “Intracavity acousto-optic programmable gain control for ultra-wide-band regenerative amplifiers,” Appl. Phys. B83, 491–494 (2006).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron.

A. Baltuška, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovlev, T. Udem, T. W. Hänsch, and F. Krausz, “Phase-controlled amplification of few-cycle laser pulses,” IEEE J. Sel. Top. Quantum Electron.9, 972–989 (2003).
[CrossRef]

Nature

A. Baltuška, T. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, C. Gohle, R. Holzwarth, V. S. Yakoviev, A. Scrinzi, T. W. Hänsch, and F. Krausz, “Attosecond control of electronic processes by intense light fields,” Nature421, 611–615 (2003).
[CrossRef]

Nature Photon.

S. Koke, C. Grebing, H. Frei, A. Anderson, A. Assion, and G. Steinmeyer, “Direct frequency comb synthesis with arbitrary offset and shot-noise-limited phase noise,” Nature Photon.4, 462–465 (2010).
[CrossRef]

Opt. Express

Opt. Lett.

F. Verluise, V. Laude, Z. Cheng, C. Spielmann, and P. Tournois, “Amplitude and phase control of ultrashort pulses by use of an acousto-optic programmable dispersive filter: pulse compression and shaping,” Opt. Lett.25, 575–577 (2000).
[CrossRef]

N. Forget, L. Canova, X. Chen, A. Jullien, and R. Lopez-Martens, “Closed-loop carrier-envelope phase stabilization with an acousto-optic programmable dispersive filter,” Opt. Lett.34, 3647–3649 (2009).
[CrossRef] [PubMed]

A. M. Sayler, T. Rathje, W. Müller, K. Rühle, R. Kienberger, and G. G. Paulus, “Precise, real-time, every-single-shot, carrier-envelope phase measurement of ultrashort laser pulses,” Opt. Lett.36, 1–3 (2011).
[CrossRef] [PubMed]

C. Q. Li, E. Moon, and Z. H. Chang, “Carrier-envelope phase shift caused by variation of grating separation,” Opt. Lett.31, 3113–3115 (2006).
[CrossRef] [PubMed]

M. Mehendale, S. A. Mitchell, J. P. Likforman, D. M. Villeneuve, and P. B. Corkum, “Method for single-shot measurement of the carrier envelope phase of a few-cycle laser pulse,” Opt. Lett.25, 1672–1674 (2000).
[CrossRef]

M. Kakehata, H. Takada, Y. Kobayashi, K. Torizuka, Y. Fujihira, T. Homma, and H. Takahashi, “Single-shot measurement of carrier-envelope phase changes by spectral interferometry,” Opt. Lett.26, 1436–1438 (2001).
[CrossRef]

S. Koke, C. Grebing, B. Manschwetus, and G. Steinmeyer, “Fast f-to-2f interferometer for a direct measurement of the carrier-envelope phase drift of ultrashort amplified laser pulses,” Opt. Lett.33, 2545–2547 (2008).
[CrossRef] [PubMed]

B. Borchers, S. Koke, A. Husakou, J. Herrmann, and G. Steinmeyer, “Carrier-envelope phase stabilization with sub-10 as residual timing jitter,” Opt. Lett.36, 4146–4148 (2011).
[CrossRef] [PubMed]

L. Xu, C. Spielmann, A. Poppe, T. Brabec, F. Krausz, and T. W. Hänsch, “Route to phase control of ultrashort light pulses,” Opt. Lett.21, 2008–2010 (1996).
[CrossRef] [PubMed]

Phys. Rev. Lett.

R. Holzwarth, T. Udem, T. W. Hänsch, J. C. Knight, W. J. Wadsworth, and P. S. J. Russell, “Optical frequency synthesizer for precision spectroscopy,” Phys. Rev. Lett.85, 2264–2267 (2000).
[CrossRef] [PubMed]

G. G. Paulus, F. Lindner, H. Walther, A. Baltuška, E. Goulielmakis, M. Lezius, and F. Krausz, “Measurement of the phase of few-cycle laser pulses,” Phys. Rev. Lett.91, 253004 (2003).
[CrossRef]

X. Liu, H. Rottke, E. Eremina, W. Sandner, E. Goulielmakis, K. O. Keeffe, M. Lezius, F. Krausz, F. Lindner, M. G. Schätzel, G. G. Paulus, and H. Walther, “Nonsequential double ionization at the single-optical-cycle limit,” Phys. Rev. Lett.93, 263001 (2004).
[CrossRef]

Rev. Mod. Phys.

F. Krausz and M. Ivanov, “Attosecond physics,” Rev. Mod. Phys.81, 163–234 (2009).
[CrossRef]

Science

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis,” Science288, 635–639 (2000).
[CrossRef] [PubMed]

Other

C. Li, A. Schill, F. Emaury, J. Chu, P. Fru, J.-M. Hritier, and W. Tulloch, Single Shot Carrier Envelope Phase Stabilization of a 10 kHz, 10 W Regenerative Amplifier (SpringerBerlin Heidelberg, 2012), vol. 125 of Springer Proceedings in Physics, chap. 2, pp. 9–13.

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Figures (4)

Fig. 1
Fig. 1

Experimental setup. WL: white light; SHG : second harmonic generation crystal; Pol: polarizer; PMT: photomultiplier; PID: proportional-integrative-derivative.

Fig. 2
Fig. 2

Single-shot CEP variation measured by the kHz camera at an acquisition rate of 180 Hz (a,c) and 100 Hz(b,d). The feedback signal correcting the noise introduced by the amplifier system was provided by the PMTs (a,c) or the kHz camera (b,d) detection systems acting on the Dazzler (a,b) and on the EO crystal(c,d).

Fig. 3
Fig. 3

Power spectral density (left axis) measured by the kHz camera with (black curves) and without (red curves) feedback loop operating on the amplifier. The error signal was provided to the Dazzler by the kHz camera (a) or by the PMTs detection system (b). The integrated phase noise (dashed blue curve ; right axis) as a function of frequency. (c) Power spectral density measured by an oscilloscope sampling the error signal Δε with (black curve) without (red curve) feedback on the amplifier. The feedback loop was provided to the Dazzler by the PMTs detection system.

Fig. 4
Fig. 4

Effect of the integration time on the shot-to-shot CEP standard deviation for the Dazzler analog feedback (open circle) and EO crystal analog feedback (full triangle). The solid curve indicates the expected standard deviation evolution as a function of the number of shots N, assuming a single-shot standard deviation of 320 mrad.

Equations (1)

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Δ S ( φ ) 1 α sin 2 ( α Δ x / 2 ) sin ( α x 1 + φ )

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