Abstract

We report what is to our knowledge the first demonstration of programmable femtosecond pulse shaping that manipulates both temporal amplitude and phase. With two commercially available liquid-crystal spatial light modulators, our setup generates arbitrary temporal waveforms within a 2.9-ps window with features of less than 100 fs. We demonstrate this by producing square pulses as well as pulse sequences with a variety of specified amplitude and phase temporal profiles. We have also developed and demonstrated numerical algorithms that are used to generate the waveforms, so that the user need only specify the desired waveform and not the detailed mask patterns.

© 1993 Optical Society of America

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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
  4. W. S. Warren, H. Rabitz, M. Dahleh, Science 259, 1581 (1993).
    [CrossRef] [PubMed]
  5. A. M. Weiner, J. P. Heritage, J. A. Salehi, Opt. Lett. 13, 300 (1988).
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    [CrossRef] [PubMed]
  7. J. P. Heritage, A. M. Weiner, R. N. Thurston, Opt. Lett. 10, 609 (1985).
    [CrossRef] [PubMed]
  8. A. M. Weiner, J. P. Heritage, E. M. Kirschner, J. Opt. Soc. Am. B 5, 1563 (1988).
    [CrossRef]
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    [CrossRef] [PubMed]
  10. A. M. Weiner, D. E. Leaird, J. S. Patel, J. R. Wullert, IEEE J. Quantum Electron. 28, 908 (1992).
    [CrossRef]
  11. O. E. Martinez, IEEE J. Quantum Electron. QE-23, 59 (1987).
    [CrossRef]
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    [CrossRef] [PubMed]
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1993 (2)

W. S. Warren, H. Rabitz, M. Dahleh, Science 259, 1581 (1993).
[CrossRef] [PubMed]

D. J. Kane, R. Trebino, Opt. Lett. 18, 823 (1993).
[CrossRef] [PubMed]

1992 (1)

A. M. Weiner, D. E. Leaird, J. S. Patel, J. R. Wullert, IEEE J. Quantum Electron. 28, 908 (1992).
[CrossRef]

1991 (1)

N. F. Scherer, R. J. Carlson, A. Mato, M. Du, A. J. Ruggiero, V. Romero-Rochin, J. A. Cina, G. R. Fleming, S. A. Rice, J. Chem. Phys. 95, 1487 (1991).
[CrossRef]

1990 (3)

1988 (2)

1987 (1)

O. E. Martinez, IEEE J. Quantum Electron. QE-23, 59 (1987).
[CrossRef]

1986 (1)

R. N. Thurston, J. P. Heritage, A. M. Weiner, W. J. Tomlinson, IEEE J. Quantum Electron. QE-22, 682 (1986).
[CrossRef]

1985 (1)

1983 (1)

W. S. Warren, A. H. Zewail, J. Chem. Phys. 78, 2279 (1983).
[CrossRef]

Alfano, R. R.

Carlson, R. J.

N. F. Scherer, R. J. Carlson, A. Mato, M. Du, A. J. Ruggiero, V. Romero-Rochin, J. A. Cina, G. R. Fleming, S. A. Rice, J. Chem. Phys. 95, 1487 (1991).
[CrossRef]

Cina, J. A.

N. F. Scherer, R. J. Carlson, A. Mato, M. Du, A. J. Ruggiero, V. Romero-Rochin, J. A. Cina, G. R. Fleming, S. A. Rice, J. Chem. Phys. 95, 1487 (1991).
[CrossRef]

Dahleh, M.

W. S. Warren, H. Rabitz, M. Dahleh, Science 259, 1581 (1993).
[CrossRef] [PubMed]

Du, M.

N. F. Scherer, R. J. Carlson, A. Mato, M. Du, A. J. Ruggiero, V. Romero-Rochin, J. A. Cina, G. R. Fleming, S. A. Rice, J. Chem. Phys. 95, 1487 (1991).
[CrossRef]

Fleming, G. R.

N. F. Scherer, R. J. Carlson, A. Mato, M. Du, A. J. Ruggiero, V. Romero-Rochin, J. A. Cina, G. R. Fleming, S. A. Rice, J. Chem. Phys. 95, 1487 (1991).
[CrossRef]

Heritage, J. P.

Kane, D. J.

Kirschner, E. M.

Leaird, D. E.

A. M. Weiner, D. E. Leaird, J. S. Patel, J. R. Wullert, IEEE J. Quantum Electron. 28, 908 (1992).
[CrossRef]

A. M. Weiner, D. E. Leaird, J. S. Patel, J. R. Wullert, Opt. Lett. 15, 326 (1990).
[CrossRef] [PubMed]

A. M. Weiner, D. E. Leaird, Opt. Lett. 15, 51 (1990).
[CrossRef] [PubMed]

A. M. Weiner, D. E. Leaird, G. P. Wiederrecht, K. A. Nelson, Science247, 1317 (1990).
[CrossRef] [PubMed]

Martinez, O. E.

O. E. Martinez, IEEE J. Quantum Electron. QE-23, 59 (1987).
[CrossRef]

Mato, A.

N. F. Scherer, R. J. Carlson, A. Mato, M. Du, A. J. Ruggiero, V. Romero-Rochin, J. A. Cina, G. R. Fleming, S. A. Rice, J. Chem. Phys. 95, 1487 (1991).
[CrossRef]

Nelson, K. A.

A. M. Weiner, D. E. Leaird, G. P. Wiederrecht, K. A. Nelson, Science247, 1317 (1990).
[CrossRef] [PubMed]

Patel, J. S.

A. M. Weiner, D. E. Leaird, J. S. Patel, J. R. Wullert, IEEE J. Quantum Electron. 28, 908 (1992).
[CrossRef]

A. M. Weiner, D. E. Leaird, J. S. Patel, J. R. Wullert, Opt. Lett. 15, 326 (1990).
[CrossRef] [PubMed]

Rabitz, H.

W. S. Warren, H. Rabitz, M. Dahleh, Science 259, 1581 (1993).
[CrossRef] [PubMed]

Rice, S. A.

N. F. Scherer, R. J. Carlson, A. Mato, M. Du, A. J. Ruggiero, V. Romero-Rochin, J. A. Cina, G. R. Fleming, S. A. Rice, J. Chem. Phys. 95, 1487 (1991).
[CrossRef]

Romero-Rochin, V.

N. F. Scherer, R. J. Carlson, A. Mato, M. Du, A. J. Ruggiero, V. Romero-Rochin, J. A. Cina, G. R. Fleming, S. A. Rice, J. Chem. Phys. 95, 1487 (1991).
[CrossRef]

Ruggiero, A. J.

N. F. Scherer, R. J. Carlson, A. Mato, M. Du, A. J. Ruggiero, V. Romero-Rochin, J. A. Cina, G. R. Fleming, S. A. Rice, J. Chem. Phys. 95, 1487 (1991).
[CrossRef]

Salehi, J. A.

Scherer, N. F.

N. F. Scherer, R. J. Carlson, A. Mato, M. Du, A. J. Ruggiero, V. Romero-Rochin, J. A. Cina, G. R. Fleming, S. A. Rice, J. Chem. Phys. 95, 1487 (1991).
[CrossRef]

Thurston, R. N.

R. N. Thurston, J. P. Heritage, A. M. Weiner, W. J. Tomlinson, IEEE J. Quantum Electron. QE-22, 682 (1986).
[CrossRef]

J. P. Heritage, A. M. Weiner, R. N. Thurston, Opt. Lett. 10, 609 (1985).
[CrossRef] [PubMed]

Tomlinson, W. J.

R. N. Thurston, J. P. Heritage, A. M. Weiner, W. J. Tomlinson, IEEE J. Quantum Electron. QE-22, 682 (1986).
[CrossRef]

Trebino, R.

Warren, W. S.

W. S. Warren, H. Rabitz, M. Dahleh, Science 259, 1581 (1993).
[CrossRef] [PubMed]

W. S. Warren, A. H. Zewail, J. Chem. Phys. 78, 2279 (1983).
[CrossRef]

Weiner, A. M.

Wiederrecht, G. P.

A. M. Weiner, D. E. Leaird, G. P. Wiederrecht, K. A. Nelson, Science247, 1317 (1990).
[CrossRef] [PubMed]

Wullert, J. R.

A. M. Weiner, D. E. Leaird, J. S. Patel, J. R. Wullert, IEEE J. Quantum Electron. 28, 908 (1992).
[CrossRef]

A. M. Weiner, D. E. Leaird, J. S. Patel, J. R. Wullert, Opt. Lett. 15, 326 (1990).
[CrossRef] [PubMed]

Yoo, K. M.

Zewail, A. H.

W. S. Warren, A. H. Zewail, J. Chem. Phys. 78, 2279 (1983).
[CrossRef]

IEEE J. Quantum Electron. (3)

A. M. Weiner, D. E. Leaird, J. S. Patel, J. R. Wullert, IEEE J. Quantum Electron. 28, 908 (1992).
[CrossRef]

O. E. Martinez, IEEE J. Quantum Electron. QE-23, 59 (1987).
[CrossRef]

R. N. Thurston, J. P. Heritage, A. M. Weiner, W. J. Tomlinson, IEEE J. Quantum Electron. QE-22, 682 (1986).
[CrossRef]

J. Chem. Phys. (2)

N. F. Scherer, R. J. Carlson, A. Mato, M. Du, A. J. Ruggiero, V. Romero-Rochin, J. A. Cina, G. R. Fleming, S. A. Rice, J. Chem. Phys. 95, 1487 (1991).
[CrossRef]

W. S. Warren, A. H. Zewail, J. Chem. Phys. 78, 2279 (1983).
[CrossRef]

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

Opt. Lett. (6)

Science (1)

W. S. Warren, H. Rabitz, M. Dahleh, Science 259, 1581 (1993).
[CrossRef] [PubMed]

Other (1)

A. M. Weiner, D. E. Leaird, G. P. Wiederrecht, K. A. Nelson, Science247, 1317 (1990).
[CrossRef] [PubMed]

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Figures (3)

Fig. 1
Fig. 1

Schematic illustration of the pulse-shaping apparatus with two masks. Two 1:1 telescopes are placed between the gratings so that the spatially dispersed frequency profile is cylindrically focused and filtered twice. A combination of polarizers (Pol.’s) and wave plates is used so that the first LC SLM attenuates the frequency profile and the second LC SLM manipulates the relative phases of the frequency profile.

Fig. 2
Fig. 2

Shaped waveforms produced by a single LC SLM as a phase mask. (a) 3.07-THz pulse train produced with a gray-scaled filtering array. Pulse trains with repetition rates from 1.10 to 4.39 THz were also generated. (b), (c) Shaped waveforms with specified intensity profiles along with theoretical fit (dashed curves): (b) flat-topped pulse train, (c) staggered pulse train.

Fig. 3
Fig. 3

Shaped waveforms produced by two LC SLM’s for manipulation of both spectral phase and amplitude profiles. The theoretical fit (dashed curves), which assumes exact calibration and alignment, is also shown. (a) 550-fs optical square pulse, (b) 350-fs optical square pulse displaced in time, (c) Waveform involving three pulses with varied asymmetric timing. The waveform is designed so that the three pulses are all in phase with one another.

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