Abstract

We experimentally demonstrate the generation of 5.0-fs optical pulses (2.5 µJ, 1-kHz repetition rate), using only a spatial light modulator for phase compensation. Pulse compression of the broadband pulse (500–1000 nm) from an argon-filled capillary fiber is achieved with a liquid-crystal spatial light modulator without any prechirp compensation. The output pulse width is found to be 4.1 fs by a fringe-resolved autocorrelator fitted with a transform-limited pulse and to be 5.0 fs by second-harmonic generation frequency-resolved optical gating with marginal correction. It is to our knowledge the shortest pulse ever generated by use of only a spatial light modulator for phase compensation.

© 2001 Optical Society of America

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  6. M. Nisoli, S. Stagira, S. De Silvestri, O. Svelto, S. Sartania, Z. Cheng, M. Lenzner, Ch. Spielmann, and F. Krausz, “A novel high-energy pulse compression system: generation of multigigawatt sub-5-fs pulses,” Appl. Phys. B 65, 189–196 (1997).
    [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]
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    [CrossRef]
  20. G. Taft, A. Rundquist, M. M. Murnane, I. P. Christov, H. C. Kapteyn, K. W. DeLong, D. N. Fittinghoff, M. A. Krumbügel, J. N. Sweetser, and R. Trebino, “Measurement of 10-fs laser pulses,” IEEE J. Sel. Top. Quantum Electron. 2, 575–585 (1996).
    [CrossRef]

2000 (4)

L. Xu, N. Nakagawa, R. Morita, H. Shigekawa, and M. Yamashita, “Programmable chirp compensation for 6-fs pulse generation with a prism-pair-formed pulse shaper,” IEEE J. Quantum Electron. 36, 893–899 (2000).
[CrossRef]

L. Xu, L. Li, N. Nakagawa, R. Morita, and M. Yamashita, “Application of a spatial light modulator for programmable optical pulse compression to the sub-6-fs regime,” IEEE Photonics Technol. Lett. 12, 1540–1542 (2000).
[CrossRef]

L. Gallmann, D. H. Sutter, N. Matuschek, G. Steinmeyer, and U. Keller, “Techniques for the characterization of sub-10-fs optical pulses: a comparison,” Appl. Phys. B 70, S67–S75 (2000).
[CrossRef]

N. Karasawa, R. Morita, H. Shigekawa, and M. Yamashita, “Generation of intense ultrabroadband optical pulses by induced phase modulation in an argon-filled single-mode hollow waveguide,” Opt. Lett. 25, 183–185 (2000).
[CrossRef]

1999 (6)

1998 (1)

1997 (3)

A. Baltuška, Z. Wei, M. S. Pshenichnikov, D. A. Wiersma, and R. Szipöcs, “All-solid-state cavity-dumped sub-5-fs laser,” Appl. Phys. B 65, 175–188 (1997).
[CrossRef]

D. Yelin, D. Meshulach, and Y. Silberberg, “Adaptive femtosecond pulse compression,” Opt. Lett. 22, 1793–1795 (1997).
[CrossRef]

M. Nisoli, S. Stagira, S. De Silvestri, O. Svelto, S. Sartania, Z. Cheng, M. Lenzner, Ch. Spielmann, and F. Krausz, “A novel high-energy pulse compression system: generation of multigigawatt sub-5-fs pulses,” Appl. Phys. B 65, 189–196 (1997).
[CrossRef]

1996 (1)

G. Taft, A. Rundquist, M. M. Murnane, I. P. Christov, H. C. Kapteyn, K. W. DeLong, D. N. Fittinghoff, M. A. Krumbügel, J. N. Sweetser, and R. Trebino, “Measurement of 10-fs laser pulses,” IEEE J. Sel. Top. Quantum Electron. 2, 575–585 (1996).
[CrossRef]

1992 (1)

A. M. Weiner, D. E. Leaird, J. S. Patel, and J. R. Wullert II, “Programmable shaping of femtosecond optical pulses by use of 128-element liquid crystal phase modulator,” IEEE J. Quantum Electron. 28, 908–919 (1992).
[CrossRef]

1965 (1)

1962 (1)

Angelow, G.

Backus, S.

Baltuška, A.

A. Baltuška, M. S. Pshenichinikov, and D. A. Wiersma, “Second-harmonic generation frequency-resolved optical gating in the single-cycle regime,” IEEE J. Quantum Electron. 35, 459–478 (1999).
[CrossRef]

A. Baltuška, M. S. Pshenichinikov, and D. A. Wiersma, “Amplitude and phase characterization of 4.5-fs pulses by frequency-resolved optical gating,” Opt. Lett. 23, 1474–1476 (1998).
[CrossRef]

A. Baltuška, Z. Wei, M. S. Pshenichnikov, D. A. Wiersma, and R. Szipöcs, “All-solid-state cavity-dumped sub-5-fs laser,” Appl. Phys. B 65, 175–188 (1997).
[CrossRef]

Chen, Y.

Cheng, Z.

Z. Cheng, A. Fürbach, S. Sartania, M. Lenzner, Ch. Spielmann, and F. Krausz, “Amplitude and chirp characterization of high-power laser pulses in the 5-fs regime,” Opt. Lett. 24, 247–249 (1999).
[CrossRef]

M. Nisoli, S. Stagira, S. De Silvestri, O. Svelto, S. Sartania, Z. Cheng, M. Lenzner, Ch. Spielmann, and F. Krausz, “A novel high-energy pulse compression system: generation of multigigawatt sub-5-fs pulses,” Appl. Phys. B 65, 189–196 (1997).
[CrossRef]

Cho, S. H.

Christov, I. P.

G. Taft, A. Rundquist, M. M. Murnane, I. P. Christov, H. C. Kapteyn, K. W. DeLong, D. N. Fittinghoff, M. A. Krumbügel, J. N. Sweetser, and R. Trebino, “Measurement of 10-fs laser pulses,” IEEE J. Sel. Top. Quantum Electron. 2, 575–585 (1996).
[CrossRef]

De Silvestri, S.

M. Nisoli, S. Stagira, S. De Silvestri, O. Svelto, S. Sartania, Z. Cheng, M. Lenzner, Ch. Spielmann, and F. Krausz, “A novel high-energy pulse compression system: generation of multigigawatt sub-5-fs pulses,” Appl. Phys. B 65, 189–196 (1997).
[CrossRef]

DeLong, K. W.

G. Taft, A. Rundquist, M. M. Murnane, I. P. Christov, H. C. Kapteyn, K. W. DeLong, D. N. Fittinghoff, M. A. Krumbügel, J. N. Sweetser, and R. Trebino, “Measurement of 10-fs laser pulses,” IEEE J. Sel. Top. Quantum Electron. 2, 575–585 (1996).
[CrossRef]

Fittinghoff, D. N.

G. Taft, A. Rundquist, M. M. Murnane, I. P. Christov, H. C. Kapteyn, K. W. DeLong, D. N. Fittinghoff, M. A. Krumbügel, J. N. Sweetser, and R. Trebino, “Measurement of 10-fs laser pulses,” IEEE J. Sel. Top. Quantum Electron. 2, 575–585 (1996).
[CrossRef]

Fujimoto, J. G.

Fürbach, A.

Gallmann, L.

Haus, H. A.

Ippen, E. P.

Kapteyn, H.

Kapteyn, H. C.

G. Taft, A. Rundquist, M. M. Murnane, I. P. Christov, H. C. Kapteyn, K. W. DeLong, D. N. Fittinghoff, M. A. Krumbügel, J. N. Sweetser, and R. Trebino, “Measurement of 10-fs laser pulses,” IEEE J. Sel. Top. Quantum Electron. 2, 575–585 (1996).
[CrossRef]

Karasawa, N.

Kärtner, F. X.

Keller, U.

Kobayashi, T.

A. Shirakawa, I. Sakane, M. Takasaka, and T. Kobayashi, “Sub-5-fs visible pulse generation by pulse-front-matched noncollinear optical parametric amplification,” Appl. Phys. Lett. 74, 2268–2270 (1999).
[CrossRef]

Krausz, F.

Z. Cheng, A. Fürbach, S. Sartania, M. Lenzner, Ch. Spielmann, and F. Krausz, “Amplitude and chirp characterization of high-power laser pulses in the 5-fs regime,” Opt. Lett. 24, 247–249 (1999).
[CrossRef]

M. Nisoli, S. Stagira, S. De Silvestri, O. Svelto, S. Sartania, Z. Cheng, M. Lenzner, Ch. Spielmann, and F. Krausz, “A novel high-energy pulse compression system: generation of multigigawatt sub-5-fs pulses,” Appl. Phys. B 65, 189–196 (1997).
[CrossRef]

Krumbügel, M. A.

G. Taft, A. Rundquist, M. M. Murnane, I. P. Christov, H. C. Kapteyn, K. W. DeLong, D. N. Fittinghoff, M. A. Krumbügel, J. N. Sweetser, and R. Trebino, “Measurement of 10-fs laser pulses,” IEEE J. Sel. Top. Quantum Electron. 2, 575–585 (1996).
[CrossRef]

Leaird, D. E.

A. M. Weiner, D. E. Leaird, J. S. Patel, and J. R. Wullert II, “Programmable shaping of femtosecond optical pulses by use of 128-element liquid crystal phase modulator,” IEEE J. Quantum Electron. 28, 908–919 (1992).
[CrossRef]

Lenzner, M.

Z. Cheng, A. Fürbach, S. Sartania, M. Lenzner, Ch. Spielmann, and F. Krausz, “Amplitude and chirp characterization of high-power laser pulses in the 5-fs regime,” Opt. Lett. 24, 247–249 (1999).
[CrossRef]

M. Nisoli, S. Stagira, S. De Silvestri, O. Svelto, S. Sartania, Z. Cheng, M. Lenzner, Ch. Spielmann, and F. Krausz, “A novel high-energy pulse compression system: generation of multigigawatt sub-5-fs pulses,” Appl. Phys. B 65, 189–196 (1997).
[CrossRef]

Li, L.

L. Xu, L. Li, N. Nakagawa, R. Morita, and M. Yamashita, “Application of a spatial light modulator for programmable optical pulse compression to the sub-6-fs regime,” IEEE Photonics Technol. Lett. 12, 1540–1542 (2000).
[CrossRef]

Maginnis, K.

Malitson, I. H.

Matuschek, N.

Meshulach, D.

Morgner, U.

Morier-Genoud, F.

Morita, R.

L. Xu, L. Li, N. Nakagawa, R. Morita, and M. Yamashita, “Application of a spatial light modulator for programmable optical pulse compression to the sub-6-fs regime,” IEEE Photonics Technol. Lett. 12, 1540–1542 (2000).
[CrossRef]

N. Karasawa, R. Morita, H. Shigekawa, and M. Yamashita, “Generation of intense ultrabroadband optical pulses by induced phase modulation in an argon-filled single-mode hollow waveguide,” Opt. Lett. 25, 183–185 (2000).
[CrossRef]

L. Xu, N. Nakagawa, R. Morita, H. Shigekawa, and M. Yamashita, “Programmable chirp compensation for 6-fs pulse generation with a prism-pair-formed pulse shaper,” IEEE J. Quantum Electron. 36, 893–899 (2000).
[CrossRef]

Mourou, G.

Murnane, M.

Murnane, M. M.

G. Taft, A. Rundquist, M. M. Murnane, I. P. Christov, H. C. Kapteyn, K. W. DeLong, D. N. Fittinghoff, M. A. Krumbügel, J. N. Sweetser, and R. Trebino, “Measurement of 10-fs laser pulses,” IEEE J. Sel. Top. Quantum Electron. 2, 575–585 (1996).
[CrossRef]

Nakagawa, N.

L. Xu, L. Li, N. Nakagawa, R. Morita, and M. Yamashita, “Application of a spatial light modulator for programmable optical pulse compression to the sub-6-fs regime,” IEEE Photonics Technol. Lett. 12, 1540–1542 (2000).
[CrossRef]

L. Xu, N. Nakagawa, R. Morita, H. Shigekawa, and M. Yamashita, “Programmable chirp compensation for 6-fs pulse generation with a prism-pair-formed pulse shaper,” IEEE J. Quantum Electron. 36, 893–899 (2000).
[CrossRef]

Nisoli, M.

M. Nisoli, S. Stagira, S. De Silvestri, O. Svelto, S. Sartania, Z. Cheng, M. Lenzner, Ch. Spielmann, and F. Krausz, “A novel high-energy pulse compression system: generation of multigigawatt sub-5-fs pulses,” Appl. Phys. B 65, 189–196 (1997).
[CrossRef]

Patel, J. S.

A. M. Weiner, D. E. Leaird, J. S. Patel, and J. R. Wullert II, “Programmable shaping of femtosecond optical pulses by use of 128-element liquid crystal phase modulator,” IEEE J. Quantum Electron. 28, 908–919 (1992).
[CrossRef]

Pshenichinikov, M. S.

A. Baltuška, M. S. Pshenichinikov, and D. A. Wiersma, “Second-harmonic generation frequency-resolved optical gating in the single-cycle regime,” IEEE J. Quantum Electron. 35, 459–478 (1999).
[CrossRef]

A. Baltuška, M. S. Pshenichinikov, and D. A. Wiersma, “Amplitude and phase characterization of 4.5-fs pulses by frequency-resolved optical gating,” Opt. Lett. 23, 1474–1476 (1998).
[CrossRef]

Pshenichnikov, M. S.

A. Baltuška, Z. Wei, M. S. Pshenichnikov, D. A. Wiersma, and R. Szipöcs, “All-solid-state cavity-dumped sub-5-fs laser,” Appl. Phys. B 65, 175–188 (1997).
[CrossRef]

Rundquist, A.

G. Taft, A. Rundquist, M. M. Murnane, I. P. Christov, H. C. Kapteyn, K. W. DeLong, D. N. Fittinghoff, M. A. Krumbügel, J. N. Sweetser, and R. Trebino, “Measurement of 10-fs laser pulses,” IEEE J. Sel. Top. Quantum Electron. 2, 575–585 (1996).
[CrossRef]

Russek, U.

Sakane, I.

A. Shirakawa, I. Sakane, M. Takasaka, and T. Kobayashi, “Sub-5-fs visible pulse generation by pulse-front-matched noncollinear optical parametric amplification,” Appl. Phys. Lett. 74, 2268–2270 (1999).
[CrossRef]

Sartania, S.

Z. Cheng, A. Fürbach, S. Sartania, M. Lenzner, Ch. Spielmann, and F. Krausz, “Amplitude and chirp characterization of high-power laser pulses in the 5-fs regime,” Opt. Lett. 24, 247–249 (1999).
[CrossRef]

M. Nisoli, S. Stagira, S. De Silvestri, O. Svelto, S. Sartania, Z. Cheng, M. Lenzner, Ch. Spielmann, and F. Krausz, “A novel high-energy pulse compression system: generation of multigigawatt sub-5-fs pulses,” Appl. Phys. B 65, 189–196 (1997).
[CrossRef]

Scheuer, V.

Shigekawa, H.

L. Xu, N. Nakagawa, R. Morita, H. Shigekawa, and M. Yamashita, “Programmable chirp compensation for 6-fs pulse generation with a prism-pair-formed pulse shaper,” IEEE J. Quantum Electron. 36, 893–899 (2000).
[CrossRef]

N. Karasawa, R. Morita, H. Shigekawa, and M. Yamashita, “Generation of intense ultrabroadband optical pulses by induced phase modulation in an argon-filled single-mode hollow waveguide,” Opt. Lett. 25, 183–185 (2000).
[CrossRef]

Shirakawa, A.

A. Shirakawa, I. Sakane, M. Takasaka, and T. Kobayashi, “Sub-5-fs visible pulse generation by pulse-front-matched noncollinear optical parametric amplification,” Appl. Phys. Lett. 74, 2268–2270 (1999).
[CrossRef]

Silberberg, Y.

Spielmann, Ch.

Z. Cheng, A. Fürbach, S. Sartania, M. Lenzner, Ch. Spielmann, and F. Krausz, “Amplitude and chirp characterization of high-power laser pulses in the 5-fs regime,” Opt. Lett. 24, 247–249 (1999).
[CrossRef]

M. Nisoli, S. Stagira, S. De Silvestri, O. Svelto, S. Sartania, Z. Cheng, M. Lenzner, Ch. Spielmann, and F. Krausz, “A novel high-energy pulse compression system: generation of multigigawatt sub-5-fs pulses,” Appl. Phys. B 65, 189–196 (1997).
[CrossRef]

Stagira, S.

M. Nisoli, S. Stagira, S. De Silvestri, O. Svelto, S. Sartania, Z. Cheng, M. Lenzner, Ch. Spielmann, and F. Krausz, “A novel high-energy pulse compression system: generation of multigigawatt sub-5-fs pulses,” Appl. Phys. B 65, 189–196 (1997).
[CrossRef]

Steinmeyer, G.

Sutter, D. H.

Svelto, O.

M. Nisoli, S. Stagira, S. De Silvestri, O. Svelto, S. Sartania, Z. Cheng, M. Lenzner, Ch. Spielmann, and F. Krausz, “A novel high-energy pulse compression system: generation of multigigawatt sub-5-fs pulses,” Appl. Phys. B 65, 189–196 (1997).
[CrossRef]

Sweetser, J. N.

G. Taft, A. Rundquist, M. M. Murnane, I. P. Christov, H. C. Kapteyn, K. W. DeLong, D. N. Fittinghoff, M. A. Krumbügel, J. N. Sweetser, and R. Trebino, “Measurement of 10-fs laser pulses,” IEEE J. Sel. Top. Quantum Electron. 2, 575–585 (1996).
[CrossRef]

Szipöcs, R.

A. Baltuška, Z. Wei, M. S. Pshenichnikov, D. A. Wiersma, and R. Szipöcs, “All-solid-state cavity-dumped sub-5-fs laser,” Appl. Phys. B 65, 175–188 (1997).
[CrossRef]

Taft, G.

G. Taft, A. Rundquist, M. M. Murnane, I. P. Christov, H. C. Kapteyn, K. W. DeLong, D. N. Fittinghoff, M. A. Krumbügel, J. N. Sweetser, and R. Trebino, “Measurement of 10-fs laser pulses,” IEEE J. Sel. Top. Quantum Electron. 2, 575–585 (1996).
[CrossRef]

Takasaka, M.

A. Shirakawa, I. Sakane, M. Takasaka, and T. Kobayashi, “Sub-5-fs visible pulse generation by pulse-front-matched noncollinear optical parametric amplification,” Appl. Phys. Lett. 74, 2268–2270 (1999).
[CrossRef]

Trebino, R.

G. Taft, A. Rundquist, M. M. Murnane, I. P. Christov, H. C. Kapteyn, K. W. DeLong, D. N. Fittinghoff, M. A. Krumbügel, J. N. Sweetser, and R. Trebino, “Measurement of 10-fs laser pulses,” IEEE J. Sel. Top. Quantum Electron. 2, 575–585 (1996).
[CrossRef]

Tschudi, T.

Vdovin, G.

Wei, Z.

A. Baltuška, Z. Wei, M. S. Pshenichnikov, D. A. Wiersma, and R. Szipöcs, “All-solid-state cavity-dumped sub-5-fs laser,” Appl. Phys. B 65, 175–188 (1997).
[CrossRef]

Weiner, A. M.

A. M. Weiner, D. E. Leaird, J. S. Patel, and J. R. Wullert II, “Programmable shaping of femtosecond optical pulses by use of 128-element liquid crystal phase modulator,” IEEE J. Quantum Electron. 28, 908–919 (1992).
[CrossRef]

Wiersma, D. A.

A. Baltuška, M. S. Pshenichinikov, and D. A. Wiersma, “Second-harmonic generation frequency-resolved optical gating in the single-cycle regime,” IEEE J. Quantum Electron. 35, 459–478 (1999).
[CrossRef]

A. Baltuška, M. S. Pshenichinikov, and D. A. Wiersma, “Amplitude and phase characterization of 4.5-fs pulses by frequency-resolved optical gating,” Opt. Lett. 23, 1474–1476 (1998).
[CrossRef]

A. Baltuška, Z. Wei, M. S. Pshenichnikov, D. A. Wiersma, and R. Szipöcs, “All-solid-state cavity-dumped sub-5-fs laser,” Appl. Phys. B 65, 175–188 (1997).
[CrossRef]

Wullert II, J. R.

A. M. Weiner, D. E. Leaird, J. S. Patel, and J. R. Wullert II, “Programmable shaping of femtosecond optical pulses by use of 128-element liquid crystal phase modulator,” IEEE J. Quantum Electron. 28, 908–919 (1992).
[CrossRef]

Xu, L.

L. Xu, N. Nakagawa, R. Morita, H. Shigekawa, and M. Yamashita, “Programmable chirp compensation for 6-fs pulse generation with a prism-pair-formed pulse shaper,” IEEE J. Quantum Electron. 36, 893–899 (2000).
[CrossRef]

L. Xu, L. Li, N. Nakagawa, R. Morita, and M. Yamashita, “Application of a spatial light modulator for programmable optical pulse compression to the sub-6-fs regime,” IEEE Photonics Technol. Lett. 12, 1540–1542 (2000).
[CrossRef]

Yamashita, M.

L. Xu, L. Li, N. Nakagawa, R. Morita, and M. Yamashita, “Application of a spatial light modulator for programmable optical pulse compression to the sub-6-fs regime,” IEEE Photonics Technol. Lett. 12, 1540–1542 (2000).
[CrossRef]

L. Xu, N. Nakagawa, R. Morita, H. Shigekawa, and M. Yamashita, “Programmable chirp compensation for 6-fs pulse generation with a prism-pair-formed pulse shaper,” IEEE J. Quantum Electron. 36, 893–899 (2000).
[CrossRef]

N. Karasawa, R. Morita, H. Shigekawa, and M. Yamashita, “Generation of intense ultrabroadband optical pulses by induced phase modulation in an argon-filled single-mode hollow waveguide,” Opt. Lett. 25, 183–185 (2000).
[CrossRef]

Yelin, D.

Zeek, E.

Appl. Phys. B (3)

L. Gallmann, D. H. Sutter, N. Matuschek, G. Steinmeyer, and U. Keller, “Techniques for the characterization of sub-10-fs optical pulses: a comparison,” Appl. Phys. B 70, S67–S75 (2000).
[CrossRef]

M. Nisoli, S. Stagira, S. De Silvestri, O. Svelto, S. Sartania, Z. Cheng, M. Lenzner, Ch. Spielmann, and F. Krausz, “A novel high-energy pulse compression system: generation of multigigawatt sub-5-fs pulses,” Appl. Phys. B 65, 189–196 (1997).
[CrossRef]

A. Baltuška, Z. Wei, M. S. Pshenichnikov, D. A. Wiersma, and R. Szipöcs, “All-solid-state cavity-dumped sub-5-fs laser,” Appl. Phys. B 65, 175–188 (1997).
[CrossRef]

Appl. Phys. Lett. (1)

A. Shirakawa, I. Sakane, M. Takasaka, and T. Kobayashi, “Sub-5-fs visible pulse generation by pulse-front-matched noncollinear optical parametric amplification,” Appl. Phys. Lett. 74, 2268–2270 (1999).
[CrossRef]

IEEE J. Quantum Electron. (3)

A. M. Weiner, D. E. Leaird, J. S. Patel, and J. R. Wullert II, “Programmable shaping of femtosecond optical pulses by use of 128-element liquid crystal phase modulator,” IEEE J. Quantum Electron. 28, 908–919 (1992).
[CrossRef]

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Other (2)

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Figures (5)

Fig. 1
Fig. 1

Experimental setup for generation of 5.0-fs optical pluses. See text for definitions.

Fig. 2
Fig. 2

Calculated group delay of each optical component (solid curves) at λ0=600 nm at an argon pressure of 2.0 atm. The total group delay (thick solid curve) is compared with the negative of the experimentally optimized group delay applied by the SLM (dashed curve). Inset, experimental (solid curve) and 4.5-fs fitted transform-limited (dotted curve) FRAC traces at these parameters.

Fig. 3
Fig. 3

Experimental (circles) and fitted transform-limited (FTL, solid curve) interferometric autocorrelation traces obtained at λ0=800 nm at an argon pressure of 2.8 atm. Inset, the pulse spectrum.

Fig. 4
Fig. 4

(a) Applied phase ϕ(λ) and (b) phase change per pixel Δϕ(λ) of the SLM for λ0=600 nm (solid curves; parameters used in Fig. 2) and λ0=800 nm (dotted curves; parameters used in Fig. 3).

Fig. 5
Fig. 5

Results of the corrected frequency marginal corrected FROG measurements with SLM parameters. (a) Margin calculated from the experimental spectrum MTh(ω) (solid curve) and that obtained from the FROG trace MEx(ω) (dotted curve). (b) Spectrum intensity I(λ) and phase ϕ(λ). Dotted curves experimental spectrum. (c) Temporal intensity I(t) and phase ϕ(t).

Equations (2)

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ϕSLM(x)=α2[ω(x)-ω0]2+β6[ω(x)-ω0]3+γ24[ω(x)-ω0]4,
td,SLM(x)=ϕSLM(ω)ω=α[ω(x)-ω0]+β2[ω(x)-ω0]2+γ6[ω(x)-ω0]3.

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