Abstract

We propose a novel method to directly extract the phase from spectral interferograms, without the need for digital signal processing. This method is demonstrated with single-shot measurement and stabilization of the carrier-envelope phase of a 3kHz amplifier system. Our scheme allows for real-time monitoring of the carrier-envelope drift and an increased loop width for stabilization. We find that in our amplifier laser system fast carrier-envelope phase jitter is mainly inherited from the oscillator stabilization loop but we also find previously unreported indications for a rapid pulse-to-pulse jitter from the amplifier pump laser.

© 2008 Optical Society of America

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  1. E. Goulielmakis, M. Uiberacker, R. Kienberger, A. Baltuška, V. Yakovlev, A. Scrinzi, T. Westerwalbesloh, U. Kleineberg, U. Heinzmann, M. Drescher, and F. Krausz, Science 305, 1267 (2004).
    [CrossRef] [PubMed]
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    [CrossRef]
  3. M. Mehendale, S. A. Mitchell, J. P. Likforman, D. M. Villeneuve, and P. B. Corkum, Opt. Lett. 25, 1672 (2000).
    [CrossRef]
  4. A. Baltuška, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. Yakovlev, T. Udem, T. Hänsch, and F. Krausz, IEEE J. Sel. Top. Quantum Electron. 9, 972 (2003).
    [CrossRef]
  5. G. Sansone, E. Benedetti, J.-P. Caumes, S. Stagira, C. Vozzi, S. De Silvestri, and M. Nisoli, Phys. Rev. A 73, 053408 (2006).
    [CrossRef]
  6. C. Gohle, J. Rauschenberger, T. Fuji, T. Udem, A. Apolonski, F. Krausz, and T. W. Hänsch, Opt. Lett. 30, 2487 (2005).
    [CrossRef] [PubMed]
  7. A. Guandalini, P. Eckle, M. Anscombe, P. Schlup, J. Biegert, and U. Keller, J. Phys. B 39, S257 (2006).
    [CrossRef]
  8. J. B. Ashcom, R. R. Gattass, C. B. Schaffer, and E. Mazur, J. Opt. Soc. Am. B 23, 2317 (2006).
    [CrossRef]
  9. F. W. Helbing, G. Steinmeyer, and U. Keller, IEEE J. Sel. Top. Quantum Electron. 9, 1030 (2003).
    [CrossRef]

2006

G. Sansone, E. Benedetti, J.-P. Caumes, S. Stagira, C. Vozzi, S. De Silvestri, and M. Nisoli, Phys. Rev. A 73, 053408 (2006).
[CrossRef]

A. Guandalini, P. Eckle, M. Anscombe, P. Schlup, J. Biegert, and U. Keller, J. Phys. B 39, S257 (2006).
[CrossRef]

J. B. Ashcom, R. R. Gattass, C. B. Schaffer, and E. Mazur, J. Opt. Soc. Am. B 23, 2317 (2006).
[CrossRef]

2005

2004

E. Goulielmakis, M. Uiberacker, R. Kienberger, A. Baltuška, V. Yakovlev, A. Scrinzi, T. Westerwalbesloh, U. Kleineberg, U. Heinzmann, M. Drescher, and F. Krausz, Science 305, 1267 (2004).
[CrossRef] [PubMed]

2003

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

F. W. Helbing, G. Steinmeyer, and U. Keller, IEEE J. Sel. Top. Quantum Electron. 9, 1030 (2003).
[CrossRef]

2001

2000

Anscombe, M.

A. Guandalini, P. Eckle, M. Anscombe, P. Schlup, J. Biegert, and U. Keller, J. Phys. B 39, S257 (2006).
[CrossRef]

Apolonski, A.

Ashcom, J. B.

Baltuška, A.

E. Goulielmakis, M. Uiberacker, R. Kienberger, A. Baltuška, V. Yakovlev, A. Scrinzi, T. Westerwalbesloh, U. Kleineberg, U. Heinzmann, M. Drescher, and F. Krausz, Science 305, 1267 (2004).
[CrossRef] [PubMed]

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

Benedetti, E.

G. Sansone, E. Benedetti, J.-P. Caumes, S. Stagira, C. Vozzi, S. De Silvestri, and M. Nisoli, Phys. Rev. A 73, 053408 (2006).
[CrossRef]

Biegert, J.

A. Guandalini, P. Eckle, M. Anscombe, P. Schlup, J. Biegert, and U. Keller, J. Phys. B 39, S257 (2006).
[CrossRef]

Caumes, J.-P.

G. Sansone, E. Benedetti, J.-P. Caumes, S. Stagira, C. Vozzi, S. De Silvestri, and M. Nisoli, Phys. Rev. A 73, 053408 (2006).
[CrossRef]

Corkum, P. B.

De Silvestri, S.

G. Sansone, E. Benedetti, J.-P. Caumes, S. Stagira, C. Vozzi, S. De Silvestri, and M. Nisoli, Phys. Rev. A 73, 053408 (2006).
[CrossRef]

Drescher, M.

E. Goulielmakis, M. Uiberacker, R. Kienberger, A. Baltuška, V. Yakovlev, A. Scrinzi, T. Westerwalbesloh, U. Kleineberg, U. Heinzmann, M. Drescher, and F. Krausz, Science 305, 1267 (2004).
[CrossRef] [PubMed]

Eckle, P.

A. Guandalini, P. Eckle, M. Anscombe, P. Schlup, J. Biegert, and U. Keller, J. Phys. B 39, S257 (2006).
[CrossRef]

Fuji, T.

Fujihira, Y.

Gattass, R. R.

Gohle, C.

Goulielmakis, E.

E. Goulielmakis, M. Uiberacker, R. Kienberger, A. Baltuška, V. Yakovlev, A. Scrinzi, T. Westerwalbesloh, U. Kleineberg, U. Heinzmann, M. Drescher, and F. Krausz, Science 305, 1267 (2004).
[CrossRef] [PubMed]

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

Guandalini, A.

A. Guandalini, P. Eckle, M. Anscombe, P. Schlup, J. Biegert, and U. Keller, J. Phys. B 39, S257 (2006).
[CrossRef]

Hänsch, T.

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

Hänsch, T. W.

Heinzmann, U.

E. Goulielmakis, M. Uiberacker, R. Kienberger, A. Baltuška, V. Yakovlev, A. Scrinzi, T. Westerwalbesloh, U. Kleineberg, U. Heinzmann, M. Drescher, and F. Krausz, Science 305, 1267 (2004).
[CrossRef] [PubMed]

Helbing, F. W.

F. W. Helbing, G. Steinmeyer, and U. Keller, IEEE J. Sel. Top. Quantum Electron. 9, 1030 (2003).
[CrossRef]

Homma, T.

Kakehata, M.

Keller, U.

A. Guandalini, P. Eckle, M. Anscombe, P. Schlup, J. Biegert, and U. Keller, J. Phys. B 39, S257 (2006).
[CrossRef]

F. W. Helbing, G. Steinmeyer, and U. Keller, IEEE J. Sel. Top. Quantum Electron. 9, 1030 (2003).
[CrossRef]

Kienberger, R.

E. Goulielmakis, M. Uiberacker, R. Kienberger, A. Baltuška, V. Yakovlev, A. Scrinzi, T. Westerwalbesloh, U. Kleineberg, U. Heinzmann, M. Drescher, and F. Krausz, Science 305, 1267 (2004).
[CrossRef] [PubMed]

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

Kleineberg, U.

E. Goulielmakis, M. Uiberacker, R. Kienberger, A. Baltuška, V. Yakovlev, A. Scrinzi, T. Westerwalbesloh, U. Kleineberg, U. Heinzmann, M. Drescher, and F. Krausz, Science 305, 1267 (2004).
[CrossRef] [PubMed]

Kobayashi, Y.

Krausz, F.

C. Gohle, J. Rauschenberger, T. Fuji, T. Udem, A. Apolonski, F. Krausz, and T. W. Hänsch, Opt. Lett. 30, 2487 (2005).
[CrossRef] [PubMed]

E. Goulielmakis, M. Uiberacker, R. Kienberger, A. Baltuška, V. Yakovlev, A. Scrinzi, T. Westerwalbesloh, U. Kleineberg, U. Heinzmann, M. Drescher, and F. Krausz, Science 305, 1267 (2004).
[CrossRef] [PubMed]

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

Likforman, J. P.

Mazur, E.

Mehendale, M.

Mitchell, S. A.

Nisoli, M.

G. Sansone, E. Benedetti, J.-P. Caumes, S. Stagira, C. Vozzi, S. De Silvestri, and M. Nisoli, Phys. Rev. A 73, 053408 (2006).
[CrossRef]

Rauschenberger, J.

Sansone, G.

G. Sansone, E. Benedetti, J.-P. Caumes, S. Stagira, C. Vozzi, S. De Silvestri, and M. Nisoli, Phys. Rev. A 73, 053408 (2006).
[CrossRef]

Schaffer, C. B.

Schlup, P.

A. Guandalini, P. Eckle, M. Anscombe, P. Schlup, J. Biegert, and U. Keller, J. Phys. B 39, S257 (2006).
[CrossRef]

Scrinzi, A.

E. Goulielmakis, M. Uiberacker, R. Kienberger, A. Baltuška, V. Yakovlev, A. Scrinzi, T. Westerwalbesloh, U. Kleineberg, U. Heinzmann, M. Drescher, and F. Krausz, Science 305, 1267 (2004).
[CrossRef] [PubMed]

Stagira, S.

G. Sansone, E. Benedetti, J.-P. Caumes, S. Stagira, C. Vozzi, S. De Silvestri, and M. Nisoli, Phys. Rev. A 73, 053408 (2006).
[CrossRef]

Steinmeyer, G.

F. W. Helbing, G. Steinmeyer, and U. Keller, IEEE J. Sel. Top. Quantum Electron. 9, 1030 (2003).
[CrossRef]

Takada, H.

Takahashi, H.

Torizuka, K.

Udem, T.

C. Gohle, J. Rauschenberger, T. Fuji, T. Udem, A. Apolonski, F. Krausz, and T. W. Hänsch, Opt. Lett. 30, 2487 (2005).
[CrossRef] [PubMed]

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

Uiberacker, M.

E. Goulielmakis, M. Uiberacker, R. Kienberger, A. Baltuška, V. Yakovlev, A. Scrinzi, T. Westerwalbesloh, U. Kleineberg, U. Heinzmann, M. Drescher, and F. Krausz, Science 305, 1267 (2004).
[CrossRef] [PubMed]

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

Villeneuve, D. M.

Vozzi, C.

G. Sansone, E. Benedetti, J.-P. Caumes, S. Stagira, C. Vozzi, S. De Silvestri, and M. Nisoli, Phys. Rev. A 73, 053408 (2006).
[CrossRef]

Westerwalbesloh, T.

E. Goulielmakis, M. Uiberacker, R. Kienberger, A. Baltuška, V. Yakovlev, A. Scrinzi, T. Westerwalbesloh, U. Kleineberg, U. Heinzmann, M. Drescher, and F. Krausz, Science 305, 1267 (2004).
[CrossRef] [PubMed]

Yakovlev, V.

E. Goulielmakis, M. Uiberacker, R. Kienberger, A. Baltuška, V. Yakovlev, A. Scrinzi, T. Westerwalbesloh, U. Kleineberg, U. Heinzmann, M. Drescher, and F. Krausz, Science 305, 1267 (2004).
[CrossRef] [PubMed]

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

IEEE J. Sel. Top. Quantum Electron.

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

F. W. Helbing, G. Steinmeyer, and U. Keller, IEEE J. Sel. Top. Quantum Electron. 9, 1030 (2003).
[CrossRef]

J. Opt. Soc. Am. B

J. Phys. B

A. Guandalini, P. Eckle, M. Anscombe, P. Schlup, J. Biegert, and U. Keller, J. Phys. B 39, S257 (2006).
[CrossRef]

Opt. Lett.

Phys. Rev. A

G. Sansone, E. Benedetti, J.-P. Caumes, S. Stagira, C. Vozzi, S. De Silvestri, and M. Nisoli, Phys. Rev. A 73, 053408 (2006).
[CrossRef]

Science

E. Goulielmakis, M. Uiberacker, R. Kienberger, A. Baltuška, V. Yakovlev, A. Scrinzi, T. Westerwalbesloh, U. Kleineberg, U. Heinzmann, M. Drescher, and F. Krausz, Science 305, 1267 (2004).
[CrossRef] [PubMed]

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Figures (3)

Fig. 1
Fig. 1

Illustration of the measurement setup. VA, variable attenuator; A, aperture; SC, supercontinuum generation; D, dispersive delay line; LBO, frequency-doubling LBO crystal, phase-matched at 1000 nm ; P, polarizer; BS, beam splitter; BP, bisecting prism.

Fig. 2
Fig. 2

Comparison of the signal obtained with the digital setup (black) with the signal obtained by the novel analog setup (gray) while amplifier stabilization has been switched off. The dotted gray lines in (a) mark the interval where a unique inversion is possible. In the following, this is utilized to convert the measured voltage into phase.

Fig. 3
Fig. 3

(a) Comparison of the digital (black) and the calibrated analog (gray) signal after stabilization to the analog signal has been switched on. (b) One-sided Welch’s phase noise densities of the signals (left axis). From top to bottom at low frequencies: out-of-loop measurement of the oscillator (black), digital signal (light gray), and analog signal (dark gray). Additionally, the integrated phase error of the analog signal is shown, referring to the right axis (dotted light-gray curve; for a definition refer to, e.g., [9]).

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