Abstract

Simple analysis indicates that when the distance between gratings in optical stretchers and compressors varies by one half of the grating constant due to mechanical vibration or thermal motion, the change of the carrier-envelope phase is of the order of 2π rad. To suppress the phase noise, one feedback loop is needed to stabilize the compressor while two loops are required for the stretcher. When the phase drift is measured with an f-to-2f interferometer, either the stretcher or the compressor can be feedback controlled to stabilize the carrier-envelope phase of the pulses from a chirped pulse amplifier.

© 2006 Optical Society of America

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  1. G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. De Silvestri, "Absolute-phase phenomena in photoionization with few-cycle laser pulses," Nature 414, 182-184 (2001).
    [Crossref] [PubMed]
  2. F. Lindner, M. G. Schatzel, H. Walther, A. Baltuska, E. Goulielmakis, F. Krausz, D. B. Milosevic, D. Bauer, W. Becker, and G. G. Paulus, "Attosecond double-slit experiment," Phys. Rev. Lett. 95, 040401 (2005).
    [Crossref] [PubMed]
  3. A. Baltuska, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovler, T. Udem, T. W. Hansch, and F. Krausz, "Phase-controlled amplification of few-cycle laser pulse," IEEE J. Sel. Top. Quantum Electron. 9, 972-989 (2003).
    [Crossref]
  4. Z. Chang, "Single attosecond pulse and xuv supercontinuum in the high-order harmonic plateau," Phys. Rev. A 70, 043802 (2004).
    [Crossref]
  5. M. F. Kling, C. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, T. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, "Control of electron localization in molecular dissociation," Science 312, 246-248 (2006).
    [Crossref] [PubMed]
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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
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    [Crossref]
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    [Crossref]
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    [Crossref]
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    [Crossref]
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    [Crossref]
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    [Crossref]
  19. O. Martinez, "3000 times grating compressor with positive group velocity dispersion: application to fiber compensation in 1.3-1.6 μm region," IEEE J. Quantum Electron. 23, 59-64 (1987).
    [Crossref]
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2006 (2)

M. F. Kling, C. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, T. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, "Control of electron localization in molecular dissociation," Science 312, 246-248 (2006).
[Crossref] [PubMed]

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

2005 (4)

T. Fuji, J. Rauschenberger, A. Apolonski, V. S. Yakovlev, G. Tempea, T. Udem, C. Gohle, T. W. Hansch, W. Lehnert, M. Scherer, and F. Krausz, "Monolithic carrier-envelope phase-stabilization scheme," Opt. Lett. 30, 332-334 (2005).
[Crossref] [PubMed]

A. Ishizawa and H. Nakano, "Fluctuation of the carrier-envelope phase of a few-cycle laser pulse from a chirped-pulse amplification system with the gas pressure in a hollow fiber," Jpn. J. Appl. Phys. 44, 6039-6041 (2005).
[Crossref]

A. Couairon, M. Franco, A. Mysyrowicz, J. Biegert, and U. Keller, "Pulse self-compression to the single-cycle limit by filamentation in a gas with a pressure gradient," Opt. Lett. 30, 2657-2659 (2005).
[Crossref] [PubMed]

F. Lindner, M. G. Schatzel, H. Walther, A. Baltuska, E. Goulielmakis, F. Krausz, D. B. Milosevic, D. Bauer, W. Becker, and G. G. Paulus, "Attosecond double-slit experiment," Phys. Rev. Lett. 95, 040401 (2005).
[Crossref] [PubMed]

2004 (3)

2003 (1)

A. Baltuska, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovler, T. Udem, T. W. Hansch, and F. Krausz, "Phase-controlled amplification of few-cycle laser pulse," IEEE J. Sel. Top. Quantum Electron. 9, 972-989 (2003).
[Crossref]

2002 (2)

Z. Cheng, F. Krausz, and C. Spielmann, "Compression of 2 mJ kilohertz laser pulses to 17.5 fs by pairing double-prism compressor: analysis and performance," Opt. Commun. 201, 145-155 (2002).
[Crossref]

M. Kakehata, Y. Fujihira, H. Takada, Y. Kobayashi, K. Torizuka, T. Homma, and H. Takahashi, "Measurements of carrier-envelope phase changes of 100-Hz amplified laser pulses," Appl. Phys. B 74, S43-S50 (2002).
[Crossref]

2001 (1)

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. De Silvestri, "Absolute-phase phenomena in photoionization with few-cycle laser pulses," Nature 414, 182-184 (2001).
[Crossref] [PubMed]

2000 (1)

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," Science 288, 635-639 (2000).
[Crossref] [PubMed]

1997 (2)

1987 (1)

O. Martinez, "3000 times grating compressor with positive group velocity dispersion: application to fiber compensation in 1.3-1.6 μm region," IEEE J. Quantum Electron. 23, 59-64 (1987).
[Crossref]

1984 (2)

1969 (1)

E. Treacy, "Optical pulse compression with diffraction gratings," IEEE J. Quantum Electron. 5, 454-458 (1969).
[Crossref]

Anderson, R.

Apolonski, A.

Backus, S.

Baltuska, A.

F. Lindner, M. G. Schatzel, H. Walther, A. Baltuska, E. Goulielmakis, F. Krausz, D. B. Milosevic, D. Bauer, W. Becker, and G. G. Paulus, "Attosecond double-slit experiment," Phys. Rev. Lett. 95, 040401 (2005).
[Crossref] [PubMed]

A. Baltuska, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovler, T. Udem, T. W. Hansch, and F. Krausz, "Phase-controlled amplification of few-cycle laser pulse," IEEE J. Sel. Top. Quantum Electron. 9, 972-989 (2003).
[Crossref]

Bauer, D.

F. Lindner, M. G. Schatzel, H. Walther, A. Baltuska, E. Goulielmakis, F. Krausz, D. B. Milosevic, D. Bauer, W. Becker, and G. G. Paulus, "Attosecond double-slit experiment," Phys. Rev. Lett. 95, 040401 (2005).
[Crossref] [PubMed]

Becker, W.

F. Lindner, M. G. Schatzel, H. Walther, A. Baltuska, E. Goulielmakis, F. Krausz, D. B. Milosevic, D. Bauer, W. Becker, and G. G. Paulus, "Attosecond double-slit experiment," Phys. Rev. Lett. 95, 040401 (2005).
[Crossref] [PubMed]

Biegert, J.

Chang, Z.

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

Z. Chang, "Single attosecond pulse and xuv supercontinuum in the high-order harmonic plateau," Phys. Rev. A 70, 043802 (2004).
[Crossref]

Cheng, Z.

Z. Cheng, F. Krausz, and C. Spielmann, "Compression of 2 mJ kilohertz laser pulses to 17.5 fs by pairing double-prism compressor: analysis and performance," Opt. Commun. 201, 145-155 (2002).
[Crossref]

S. Sartania, Z. Cheng, M. Lenzner, G. Tempea, C. Spielmann, F. Krausz, and K. Ferencz, "Generation of 0.1-TW, 5-fs optical pulses at a 1-kHz repetition rate," Opt. Lett. 22, 1562-1564 (1997).
[Crossref]

Couairon, A.

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," Science 288, 635-639 (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, "Absolute-phase phenomena in photoionization with few-cycle laser pulses," Nature 414, 182-184 (2001).
[Crossref] [PubMed]

DeSilvestri, S.

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," Science 288, 635-639 (2000).
[Crossref] [PubMed]

Drescher, M.

M. F. Kling, C. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, T. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, "Control of electron localization in molecular dissociation," Science 312, 246-248 (2006).
[Crossref] [PubMed]

Ferencz, K.

Fork, R. L.

Franco, M.

Fuji, T.

Fujihira, Y.

M. Kakehata, Y. Fujihira, H. Takada, Y. Kobayashi, K. Torizuka, T. Homma, and H. Takahashi, "Measurements of carrier-envelope phase changes of 100-Hz amplified laser pulses," Appl. Phys. B 74, S43-S50 (2002).
[Crossref]

Gagnon, E.

Gaudiosi, D. M.

Gohle, C.

Gordon, J. P

Gordon, J. P.

Goulielmakis, E.

F. Lindner, M. G. Schatzel, H. Walther, A. Baltuska, E. Goulielmakis, F. Krausz, D. B. Milosevic, D. Bauer, W. Becker, and G. G. Paulus, "Attosecond double-slit experiment," Phys. Rev. Lett. 95, 040401 (2005).
[Crossref] [PubMed]

A. Baltuska, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovler, T. Udem, T. W. Hansch, and F. Krausz, "Phase-controlled amplification of few-cycle laser pulse," IEEE J. Sel. Top. Quantum Electron. 9, 972-989 (2003).
[Crossref]

Grasbon, F.

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. De Silvestri, "Absolute-phase phenomena in photoionization with few-cycle laser pulses," Nature 414, 182-184 (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, "Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis," Science 288, 635-639 (2000).
[Crossref] [PubMed]

Hansch, T. W.

T. Fuji, J. Rauschenberger, A. Apolonski, V. S. Yakovlev, G. Tempea, T. Udem, C. Gohle, T. W. Hansch, W. Lehnert, M. Scherer, and F. Krausz, "Monolithic carrier-envelope phase-stabilization scheme," Opt. Lett. 30, 332-334 (2005).
[Crossref] [PubMed]

A. Baltuska, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovler, T. Udem, T. W. Hansch, and F. Krausz, "Phase-controlled amplification of few-cycle laser pulse," IEEE J. Sel. Top. Quantum Electron. 9, 972-989 (2003).
[Crossref]

Homma, T.

M. Kakehata, Y. Fujihira, H. Takada, Y. Kobayashi, K. Torizuka, T. Homma, and H. Takahashi, "Measurements of carrier-envelope phase changes of 100-Hz amplified laser pulses," Appl. Phys. B 74, S43-S50 (2002).
[Crossref]

Ishizawa, A.

A. Ishizawa and H. Nakano, "Fluctuation of the carrier-envelope phase of a few-cycle laser pulse from a chirped-pulse amplification system with the gas pressure in a hollow fiber," Jpn. J. Appl. Phys. 44, 6039-6041 (2005).
[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," Science 288, 635-639 (2000).
[Crossref] [PubMed]

Jones, R. J.

Kakehata, M.

M. Kakehata, Y. Fujihira, H. Takada, Y. Kobayashi, K. Torizuka, T. Homma, and H. Takahashi, "Measurements of carrier-envelope phase changes of 100-Hz amplified laser pulses," Appl. Phys. B 74, S43-S50 (2002).
[Crossref]

Kapteyn, H.

Kapteyn, H. C.

Keller, U.

Khan, J. I.

M. F. Kling, C. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, T. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, "Control of electron localization in molecular dissociation," Science 312, 246-248 (2006).
[Crossref] [PubMed]

Kienberger, R.

A. Baltuska, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovler, T. Udem, T. W. Hansch, and F. Krausz, "Phase-controlled amplification of few-cycle laser pulse," IEEE J. Sel. Top. Quantum Electron. 9, 972-989 (2003).
[Crossref]

Kling, M. F.

M. F. Kling, C. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, T. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, "Control of electron localization in molecular dissociation," Science 312, 246-248 (2006).
[Crossref] [PubMed]

Kobayashi, Y.

M. Kakehata, Y. Fujihira, H. Takada, Y. Kobayashi, K. Torizuka, T. Homma, and H. Takahashi, "Measurements of carrier-envelope phase changes of 100-Hz amplified laser pulses," Appl. Phys. B 74, S43-S50 (2002).
[Crossref]

Kohl, P.

Krausz, F.

M. F. Kling, C. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, T. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, "Control of electron localization in molecular dissociation," Science 312, 246-248 (2006).
[Crossref] [PubMed]

T. Fuji, J. Rauschenberger, A. Apolonski, V. S. Yakovlev, G. Tempea, T. Udem, C. Gohle, T. W. Hansch, W. Lehnert, M. Scherer, and F. Krausz, "Monolithic carrier-envelope phase-stabilization scheme," Opt. Lett. 30, 332-334 (2005).
[Crossref] [PubMed]

F. Lindner, M. G. Schatzel, H. Walther, A. Baltuska, E. Goulielmakis, F. Krausz, D. B. Milosevic, D. Bauer, W. Becker, and G. G. Paulus, "Attosecond double-slit experiment," Phys. Rev. Lett. 95, 040401 (2005).
[Crossref] [PubMed]

A. Baltuska, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovler, T. Udem, T. W. Hansch, and F. Krausz, "Phase-controlled amplification of few-cycle laser pulse," IEEE J. Sel. Top. Quantum Electron. 9, 972-989 (2003).
[Crossref]

Z. Cheng, F. Krausz, and C. Spielmann, "Compression of 2 mJ kilohertz laser pulses to 17.5 fs by pairing double-prism compressor: analysis and performance," Opt. Commun. 201, 145-155 (2002).
[Crossref]

S. Sartania, Z. Cheng, M. Lenzner, G. Tempea, C. Spielmann, F. Krausz, and K. Ferencz, "Generation of 0.1-TW, 5-fs optical pulses at a 1-kHz repetition rate," Opt. Lett. 22, 1562-1564 (1997).
[Crossref]

M. Nisoli, S. DeSilvestri, O. Svelto, R. Szipocs, K. Ferencz, C. Spielmann, S. Sartania, and F. Krausz, "Compression of high-energy laser pulses below 5 fs," Opt. Lett. 22, 522-524 (1997).
[Crossref] [PubMed]

Lehnert, W.

Lenzner, M.

Lindner, F.

F. Lindner, M. G. Schatzel, H. Walther, A. Baltuska, E. Goulielmakis, F. Krausz, D. B. Milosevic, D. Bauer, W. Becker, and G. G. Paulus, "Attosecond double-slit experiment," Phys. Rev. Lett. 95, 040401 (2005).
[Crossref] [PubMed]

Lytle, A.

Lytle, A. L.

Martinez, O.

O. Martinez, "3000 times grating compressor with positive group velocity dispersion: application to fiber compensation in 1.3-1.6 μm region," IEEE J. Quantum Electron. 23, 59-64 (1987).
[Crossref]

O. Martinez, J. P Gordon, and R. L. Fork, "Negative group-velocity dispersion using refraction," J. Opt. Soc. Am. A 1, 1003-1006 (1984).
[Crossref]

Martinez, O. E.

Milosevic, D. B.

F. Lindner, M. G. Schatzel, H. Walther, A. Baltuska, E. Goulielmakis, F. Krausz, D. B. Milosevic, D. Bauer, W. Becker, and G. G. Paulus, "Attosecond double-slit experiment," Phys. Rev. Lett. 95, 040401 (2005).
[Crossref] [PubMed]

Murnane, M.

Murnane, M. M.

Mysyrowicz, A.

Nakano, H.

A. Ishizawa and H. Nakano, "Fluctuation of the carrier-envelope phase of a few-cycle laser pulse from a chirped-pulse amplification system with the gas pressure in a hollow fiber," Jpn. J. Appl. Phys. 44, 6039-6041 (2005).
[Crossref]

Ni, Y.

M. F. Kling, C. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, T. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, "Control of electron localization in molecular dissociation," Science 312, 246-248 (2006).
[Crossref] [PubMed]

Nisoli, M.

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. De Silvestri, "Absolute-phase phenomena in photoionization with few-cycle laser pulses," Nature 414, 182-184 (2001).
[Crossref] [PubMed]

M. Nisoli, S. DeSilvestri, O. Svelto, R. Szipocs, K. Ferencz, C. Spielmann, S. Sartania, and F. Krausz, "Compression of high-energy laser pulses below 5 fs," Opt. Lett. 22, 522-524 (1997).
[Crossref] [PubMed]

Paulus, G. G.

F. Lindner, M. G. Schatzel, H. Walther, A. Baltuska, E. Goulielmakis, F. Krausz, D. B. Milosevic, D. Bauer, W. Becker, and G. G. Paulus, "Attosecond double-slit experiment," Phys. Rev. Lett. 95, 040401 (2005).
[Crossref] [PubMed]

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. De Silvestri, "Absolute-phase phenomena in photoionization with few-cycle laser pulses," Nature 414, 182-184 (2001).
[Crossref] [PubMed]

Priori, E.

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. De Silvestri, "Absolute-phase phenomena in photoionization with few-cycle laser pulses," Nature 414, 182-184 (2001).
[Crossref] [PubMed]

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," Science 288, 635-639 (2000).
[Crossref] [PubMed]

Rauschenberger, J.

Sandhu, A. S.

Sartania, S.

Schatzel, M. G.

F. Lindner, M. G. Schatzel, H. Walther, A. Baltuska, E. Goulielmakis, F. Krausz, D. B. Milosevic, D. Bauer, W. Becker, and G. G. Paulus, "Attosecond double-slit experiment," Phys. Rev. Lett. 95, 040401 (2005).
[Crossref] [PubMed]

Scherer, M.

Schultze, M.

M. F. Kling, C. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, T. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, "Control of electron localization in molecular dissociation," Science 312, 246-248 (2006).
[Crossref] [PubMed]

Shan, B.

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

Siedschlag, C.

M. F. Kling, C. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, T. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, "Control of electron localization in molecular dissociation," Science 312, 246-248 (2006).
[Crossref] [PubMed]

Spielmann, C.

Stagira, S.

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. De Silvestri, "Absolute-phase phenomena in photoionization with few-cycle laser pulses," Nature 414, 182-184 (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, "Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis," Science 288, 635-639 (2000).
[Crossref] [PubMed]

Svelto, O.

Szipocs, R.

Takada, H.

M. Kakehata, Y. Fujihira, H. Takada, Y. Kobayashi, K. Torizuka, T. Homma, and H. Takahashi, "Measurements of carrier-envelope phase changes of 100-Hz amplified laser pulses," Appl. Phys. B 74, S43-S50 (2002).
[Crossref]

Takahashi, H.

M. Kakehata, Y. Fujihira, H. Takada, Y. Kobayashi, K. Torizuka, T. Homma, and H. Takahashi, "Measurements of carrier-envelope phase changes of 100-Hz amplified laser pulses," Appl. Phys. B 74, S43-S50 (2002).
[Crossref]

Tempea, G.

Thomann, I.

Torizuka, K.

M. Kakehata, Y. Fujihira, H. Takada, Y. Kobayashi, K. Torizuka, T. Homma, and H. Takahashi, "Measurements of carrier-envelope phase changes of 100-Hz amplified laser pulses," Appl. Phys. B 74, S43-S50 (2002).
[Crossref]

Treacy, E.

E. Treacy, "Optical pulse compression with diffraction gratings," IEEE J. Quantum Electron. 5, 454-458 (1969).
[Crossref]

Udem, T.

T. Fuji, J. Rauschenberger, A. Apolonski, V. S. Yakovlev, G. Tempea, T. Udem, C. Gohle, T. W. Hansch, W. Lehnert, M. Scherer, and F. Krausz, "Monolithic carrier-envelope phase-stabilization scheme," Opt. Lett. 30, 332-334 (2005).
[Crossref] [PubMed]

A. Baltuska, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovler, T. Udem, T. W. Hansch, and F. Krausz, "Phase-controlled amplification of few-cycle laser pulse," IEEE J. Sel. Top. Quantum Electron. 9, 972-989 (2003).
[Crossref]

Uiberacker, M.

M. F. Kling, C. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, T. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, "Control of electron localization in molecular dissociation," Science 312, 246-248 (2006).
[Crossref] [PubMed]

A. Baltuska, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovler, T. Udem, T. W. Hansch, and F. Krausz, "Phase-controlled amplification of few-cycle laser pulse," IEEE J. Sel. Top. Quantum Electron. 9, 972-989 (2003).
[Crossref]

Uphues, T.

M. F. Kling, C. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, T. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, "Control of electron localization in molecular dissociation," Science 312, 246-248 (2006).
[Crossref] [PubMed]

Verhoef, A. J.

M. F. Kling, C. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, T. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, "Control of electron localization in molecular dissociation," Science 312, 246-248 (2006).
[Crossref] [PubMed]

Villoresi, P.

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. De Silvestri, "Absolute-phase phenomena in photoionization with few-cycle laser pulses," Nature 414, 182-184 (2001).
[Crossref] [PubMed]

Vrakking, M. J. J.

M. F. Kling, C. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, T. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, "Control of electron localization in molecular dissociation," Science 312, 246-248 (2006).
[Crossref] [PubMed]

Walther, H.

F. Lindner, M. G. Schatzel, H. Walther, A. Baltuska, E. Goulielmakis, F. Krausz, D. B. Milosevic, D. Bauer, W. Becker, and G. G. Paulus, "Attosecond double-slit experiment," Phys. Rev. Lett. 95, 040401 (2005).
[Crossref] [PubMed]

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. De Silvestri, "Absolute-phase phenomena in photoionization with few-cycle laser pulses," Nature 414, 182-184 (2001).
[Crossref] [PubMed]

Wang, C.

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

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," Science 288, 635-639 (2000).
[Crossref] [PubMed]

Yakovler, V. S.

A. Baltuska, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovler, T. Udem, T. W. Hansch, and F. Krausz, "Phase-controlled amplification of few-cycle laser pulse," IEEE J. Sel. Top. Quantum Electron. 9, 972-989 (2003).
[Crossref]

Yakovlev, V. S.

Ye, J.

Appl. Phys. B (1)

M. Kakehata, Y. Fujihira, H. Takada, Y. Kobayashi, K. Torizuka, T. Homma, and H. Takahashi, "Measurements of carrier-envelope phase changes of 100-Hz amplified laser pulses," Appl. Phys. B 74, S43-S50 (2002).
[Crossref]

IEEE J. Quantum Electron. (2)

E. Treacy, "Optical pulse compression with diffraction gratings," IEEE J. Quantum Electron. 5, 454-458 (1969).
[Crossref]

O. Martinez, "3000 times grating compressor with positive group velocity dispersion: application to fiber compensation in 1.3-1.6 μm region," IEEE J. Quantum Electron. 23, 59-64 (1987).
[Crossref]

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

A. Baltuska, M. Uiberacker, E. Goulielmakis, R. Kienberger, V. S. Yakovler, T. Udem, T. W. Hansch, and F. Krausz, "Phase-controlled amplification of few-cycle laser pulse," IEEE J. Sel. Top. Quantum Electron. 9, 972-989 (2003).
[Crossref]

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

Jpn. J. Appl. Phys. (1)

A. Ishizawa and H. Nakano, "Fluctuation of the carrier-envelope phase of a few-cycle laser pulse from a chirped-pulse amplification system with the gas pressure in a hollow fiber," Jpn. J. Appl. Phys. 44, 6039-6041 (2005).
[Crossref]

Nature (1)

G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. De Silvestri, "Absolute-phase phenomena in photoionization with few-cycle laser pulses," Nature 414, 182-184 (2001).
[Crossref] [PubMed]

Opt. Commun. (1)

Z. Cheng, F. Krausz, and C. Spielmann, "Compression of 2 mJ kilohertz laser pulses to 17.5 fs by pairing double-prism compressor: analysis and performance," Opt. Commun. 201, 145-155 (2002).
[Crossref]

Opt. Express (1)

Opt. Lett. (6)

Phys. Rev. A (1)

Z. Chang, "Single attosecond pulse and xuv supercontinuum in the high-order harmonic plateau," Phys. Rev. A 70, 043802 (2004).
[Crossref]

Phys. Rev. Lett. (1)

F. Lindner, M. G. Schatzel, H. Walther, A. Baltuska, E. Goulielmakis, F. Krausz, D. B. Milosevic, D. Bauer, W. Becker, and G. G. Paulus, "Attosecond double-slit experiment," Phys. Rev. Lett. 95, 040401 (2005).
[Crossref] [PubMed]

Science (2)

M. F. Kling, C. Siedschlag, A. J. Verhoef, J. I. Khan, M. Schultze, T. Uphues, Y. Ni, M. Uiberacker, M. Drescher, F. Krausz, and M. J. J. Vrakking, "Control of electron localization in molecular dissociation," Science 312, 246-248 (2006).
[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," Science 288, 635-639 (2000).
[Crossref] [PubMed]

Other (1)

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

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Figures (2)

Fig. 1
Fig. 1

(a) Grating compressor with a stabilization scheme, and (b) the grating stretcher. G1 and G2 are gratings. G is the perpendicular distance between the gratings and G s is the effective perpendicular distance between the gratings. γ and γ s are the incident angles of the femtosecond (fs) beam on the first grating. θ and θ s are the angles between the diffracted beam and the incident beam (only one frequency component is shown). In (a), a single-frequency cw laser beam and a feedback loop are added to stabilize the distance between the gratings. BS, beam splitter; L, lens; PD, photodiode; PZT, piezoelectric transducer; PID, proportional, integral, and derivative. The dashed lines and solid lines represent the femtosecond beam and single-frequency beam, respectively. The dashed–dotted line is the electric wire. In (b), L1 and L2 are lenses for a telescope. G1′ is the image of the G1 formed by the telescope. l eff is the effective distance.

Fig. 2
Fig. 2

Prism compressor. l is the distance between the apexes of the prisms. The reference ray propagates from the apex of the first prism to that of the second prism. β is the angle between the ray with frequency ω to the reference ray.

Equations (11)

Equations on this page are rendered with MathJax. Learn more.

ε ( t ) = ε 0 ( t ) exp [ i ( ω 0 t + φ CE + Φ ( t ) ) ] ,
E ( ω ) = E 0 ( ω ) exp [ i ( φ CE + ϕ ( ω ) ) ] ,
ϕ ( ω ) = ωτ ( ω ) 4 π G d tan [ γ θ ( ω ) ] ,
φ CE φ CE = ω 0 τ ( ω 0 ) ϕ ( ω 0 ) = 4 π G d tan [ γ θ ( ω 0 ) ] .
Δ φ CE = 4 π Δ G d tan [ γ θ ( ω 0 ) ] .
Δ φ CE 4 π tan ( γ ) Δ G d .
l eff = [ l 2 ( f 1 + f 2 ) ] ( f 1 f 2 ) 2 ,
Δ l eff ( l eff 2 f + 1 ) Δ s ,
ϕ ( ω ) = 2 ω c l cos β ( ω ) .
φ CE φ CE = ω 0 | ϕ ω | ω 0 ϕ ( ω 0 ) = 2 l ω 0 2 c | d β d n | ω 0 | d n | ω 0 sin [ β ( ω 0 ) ] ,
Δ φ CE = 8 π sin ( β ) Δ l | d n | λ 0 .

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