Abstract

The temporal shape (rise time, fall time, skewness) of 50–200-fs Ti:sapphire laser pulses has been controlled by appropriate adjustment of a grating-pair compressor. It was found that the skewness of the laser pulse envelope is particularly sensitive to the third-order component of the spectral phase. Introducing such a third-order phase offset by detuning the grating pair relative to the optimum pulse compression settings allowed the generation of skewed pulses. As an example of an application, these skewed pulses were used to optimize a laser-plasma electron accelerator.

© 2003 Optical Society of America

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  1. W. P. Leemans, C. W. Siders, E. Esarey, N. E. Andreev, G. Shvets, and W. B. Mori, IEEE Trans. Plasma Sci. 24, 331 (1996).
    [CrossRef]
  2. A. M. Weiner, D. E. Leaird, J. S. Patel, and J. R. Wullert, IEEE J. Quantum Electron. 28, 908 (1992).
    [CrossRef]
  3. F. Verluise, V. Laude, Z. Cheng, C. Spielmann, and P. Tournois, Opt. Lett. 25, 575 (2000).
    [CrossRef]
  4. D. N. Fittinghoff, B. C. Walker, J. A. Squier, C. Tóth, C. Rose-Petruck, and C. P. J. Barty, IEEE J. Sel. Top. Quantum Electron. 4, 430 (1998).
    [CrossRef]
  5. S. Backus, C. G. Durfee III, M. M. Murnane, and H. C. Kapteyn, Rev. Sci. Instrum. 69, 1207 (1998).
    [CrossRef]
  6. A. Sullivan and W. E. White, Opt. Lett. 20, 192 (1995).
    [CrossRef] [PubMed]
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    [CrossRef]
  8. R. Trebino, Frequency-Resolved Optical Gating: The Measurement of Ultrashort Laser Pulses (Kluwer Academic, Dordrecht, The Netherlands, 2002), p. 101.
  9. W. P. Leemans, D. Rodgers, P. E. Catravas, C. G. R. Geddes, G. Fubiani, E. Esarey, B. A. Shadwick, R. Donahue, and A. Smith, Phys. Plasmas 8, 2510 (2001).
    [CrossRef]
  10. W. P. Leemans, P. Catravas, E. Esarey, C. G. R. Geddes, C. Tóth, R. Trines, C. B. Schroeder, B. A. Shadwick, J. van Tilborg, and J. Faure, Phys. Rev. Lett. 89, 174802 (2002).
    [CrossRef]
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    [CrossRef]
  12. E. Esarey, P. Sprangle, J. Krall, and A. Ting, IEEE Trans. Plasma Sci. 24, 252 (1996).
    [CrossRef]
  13. V. V. Goloviznin, P. W. van Amersfoort, N. E. Andreev, and V. I. Kirshanov, Phys. Rev. E 52, 5327 (1995).
    [CrossRef]
  14. J. Krall, E. Esarey, P. Sprangle, and G. Joyce, Phys. Plasmas 1, 1738 (1994).
    [CrossRef]
  15. A. Spitkovsky and P. Chen, Phys. Lett. A 296, 125 (2002).
    [CrossRef]
  16. K. Ohno, T. Tanabe, and F. Kannari, J. Opt. Soc. Am. B 19, 2781 (2002).
    [CrossRef]

2003 (1)

C. B. Schroeder, E. Esarey, B. A. Shadwick, and W. P. Leemans, Phys. Plasmas 10, 285 (2003).
[CrossRef]

2002 (4)

A. Spitkovsky and P. Chen, Phys. Lett. A 296, 125 (2002).
[CrossRef]

K. Ohno, T. Tanabe, and F. Kannari, J. Opt. Soc. Am. B 19, 2781 (2002).
[CrossRef]

R. Trebino, Frequency-Resolved Optical Gating: The Measurement of Ultrashort Laser Pulses (Kluwer Academic, Dordrecht, The Netherlands, 2002), p. 101.

W. P. Leemans, P. Catravas, E. Esarey, C. G. R. Geddes, C. Tóth, R. Trines, C. B. Schroeder, B. A. Shadwick, J. van Tilborg, and J. Faure, Phys. Rev. Lett. 89, 174802 (2002).
[CrossRef]

2001 (1)

W. P. Leemans, D. Rodgers, P. E. Catravas, C. G. R. Geddes, G. Fubiani, E. Esarey, B. A. Shadwick, R. Donahue, and A. Smith, Phys. Plasmas 8, 2510 (2001).
[CrossRef]

2000 (1)

1998 (3)

J. Squier, C. P. J. Barty, F. Salin, C. Le Blanc, and S. Kane, Appl. Opt. 37, 1638 (1998).
[CrossRef]

D. N. Fittinghoff, B. C. Walker, J. A. Squier, C. Tóth, C. Rose-Petruck, and C. P. J. Barty, IEEE J. Sel. Top. Quantum Electron. 4, 430 (1998).
[CrossRef]

S. Backus, C. G. Durfee III, M. M. Murnane, and H. C. Kapteyn, Rev. Sci. Instrum. 69, 1207 (1998).
[CrossRef]

1996 (2)

W. P. Leemans, C. W. Siders, E. Esarey, N. E. Andreev, G. Shvets, and W. B. Mori, IEEE Trans. Plasma Sci. 24, 331 (1996).
[CrossRef]

E. Esarey, P. Sprangle, J. Krall, and A. Ting, IEEE Trans. Plasma Sci. 24, 252 (1996).
[CrossRef]

1995 (2)

V. V. Goloviznin, P. W. van Amersfoort, N. E. Andreev, and V. I. Kirshanov, Phys. Rev. E 52, 5327 (1995).
[CrossRef]

A. Sullivan and W. E. White, Opt. Lett. 20, 192 (1995).
[CrossRef] [PubMed]

1994 (1)

J. Krall, E. Esarey, P. Sprangle, and G. Joyce, Phys. Plasmas 1, 1738 (1994).
[CrossRef]

1992 (1)

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

Andreev, N. E.

W. P. Leemans, C. W. Siders, E. Esarey, N. E. Andreev, G. Shvets, and W. B. Mori, IEEE Trans. Plasma Sci. 24, 331 (1996).
[CrossRef]

V. V. Goloviznin, P. W. van Amersfoort, N. E. Andreev, and V. I. Kirshanov, Phys. Rev. E 52, 5327 (1995).
[CrossRef]

Backus, S.

S. Backus, C. G. Durfee III, M. M. Murnane, and H. C. Kapteyn, Rev. Sci. Instrum. 69, 1207 (1998).
[CrossRef]

Barty, C. P. J.

J. Squier, C. P. J. Barty, F. Salin, C. Le Blanc, and S. Kane, Appl. Opt. 37, 1638 (1998).
[CrossRef]

D. N. Fittinghoff, B. C. Walker, J. A. Squier, C. Tóth, C. Rose-Petruck, and C. P. J. Barty, IEEE J. Sel. Top. Quantum Electron. 4, 430 (1998).
[CrossRef]

Catravas, P.

W. P. Leemans, P. Catravas, E. Esarey, C. G. R. Geddes, C. Tóth, R. Trines, C. B. Schroeder, B. A. Shadwick, J. van Tilborg, and J. Faure, Phys. Rev. Lett. 89, 174802 (2002).
[CrossRef]

Catravas, P. E.

W. P. Leemans, D. Rodgers, P. E. Catravas, C. G. R. Geddes, G. Fubiani, E. Esarey, B. A. Shadwick, R. Donahue, and A. Smith, Phys. Plasmas 8, 2510 (2001).
[CrossRef]

Chen, P.

A. Spitkovsky and P. Chen, Phys. Lett. A 296, 125 (2002).
[CrossRef]

Cheng, Z.

Donahue, R.

W. P. Leemans, D. Rodgers, P. E. Catravas, C. G. R. Geddes, G. Fubiani, E. Esarey, B. A. Shadwick, R. Donahue, and A. Smith, Phys. Plasmas 8, 2510 (2001).
[CrossRef]

Durfee III, C. G.

S. Backus, C. G. Durfee III, M. M. Murnane, and H. C. Kapteyn, Rev. Sci. Instrum. 69, 1207 (1998).
[CrossRef]

Esarey, E.

C. B. Schroeder, E. Esarey, B. A. Shadwick, and W. P. Leemans, Phys. Plasmas 10, 285 (2003).
[CrossRef]

W. P. Leemans, P. Catravas, E. Esarey, C. G. R. Geddes, C. Tóth, R. Trines, C. B. Schroeder, B. A. Shadwick, J. van Tilborg, and J. Faure, Phys. Rev. Lett. 89, 174802 (2002).
[CrossRef]

W. P. Leemans, D. Rodgers, P. E. Catravas, C. G. R. Geddes, G. Fubiani, E. Esarey, B. A. Shadwick, R. Donahue, and A. Smith, Phys. Plasmas 8, 2510 (2001).
[CrossRef]

E. Esarey, P. Sprangle, J. Krall, and A. Ting, IEEE Trans. Plasma Sci. 24, 252 (1996).
[CrossRef]

W. P. Leemans, C. W. Siders, E. Esarey, N. E. Andreev, G. Shvets, and W. B. Mori, IEEE Trans. Plasma Sci. 24, 331 (1996).
[CrossRef]

J. Krall, E. Esarey, P. Sprangle, and G. Joyce, Phys. Plasmas 1, 1738 (1994).
[CrossRef]

Faure, J.

W. P. Leemans, P. Catravas, E. Esarey, C. G. R. Geddes, C. Tóth, R. Trines, C. B. Schroeder, B. A. Shadwick, J. van Tilborg, and J. Faure, Phys. Rev. Lett. 89, 174802 (2002).
[CrossRef]

Fittinghoff, D. N.

D. N. Fittinghoff, B. C. Walker, J. A. Squier, C. Tóth, C. Rose-Petruck, and C. P. J. Barty, IEEE J. Sel. Top. Quantum Electron. 4, 430 (1998).
[CrossRef]

Fubiani, G.

W. P. Leemans, D. Rodgers, P. E. Catravas, C. G. R. Geddes, G. Fubiani, E. Esarey, B. A. Shadwick, R. Donahue, and A. Smith, Phys. Plasmas 8, 2510 (2001).
[CrossRef]

Geddes, C. G. R.

W. P. Leemans, P. Catravas, E. Esarey, C. G. R. Geddes, C. Tóth, R. Trines, C. B. Schroeder, B. A. Shadwick, J. van Tilborg, and J. Faure, Phys. Rev. Lett. 89, 174802 (2002).
[CrossRef]

W. P. Leemans, D. Rodgers, P. E. Catravas, C. G. R. Geddes, G. Fubiani, E. Esarey, B. A. Shadwick, R. Donahue, and A. Smith, Phys. Plasmas 8, 2510 (2001).
[CrossRef]

Goloviznin, V. V.

V. V. Goloviznin, P. W. van Amersfoort, N. E. Andreev, and V. I. Kirshanov, Phys. Rev. E 52, 5327 (1995).
[CrossRef]

Joyce, G.

J. Krall, E. Esarey, P. Sprangle, and G. Joyce, Phys. Plasmas 1, 1738 (1994).
[CrossRef]

Kane, S.

Kannari, F.

K. Ohno, T. Tanabe, and F. Kannari, J. Opt. Soc. Am. B 19, 2781 (2002).
[CrossRef]

Kapteyn, H. C.

S. Backus, C. G. Durfee III, M. M. Murnane, and H. C. Kapteyn, Rev. Sci. Instrum. 69, 1207 (1998).
[CrossRef]

Kirshanov, V. I.

V. V. Goloviznin, P. W. van Amersfoort, N. E. Andreev, and V. I. Kirshanov, Phys. Rev. E 52, 5327 (1995).
[CrossRef]

Krall, J.

E. Esarey, P. Sprangle, J. Krall, and A. Ting, IEEE Trans. Plasma Sci. 24, 252 (1996).
[CrossRef]

J. Krall, E. Esarey, P. Sprangle, and G. Joyce, Phys. Plasmas 1, 1738 (1994).
[CrossRef]

Laude, V.

Le Blanc, C.

Leaird, D. E.

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

Leemans, W. P.

C. B. Schroeder, E. Esarey, B. A. Shadwick, and W. P. Leemans, Phys. Plasmas 10, 285 (2003).
[CrossRef]

W. P. Leemans, P. Catravas, E. Esarey, C. G. R. Geddes, C. Tóth, R. Trines, C. B. Schroeder, B. A. Shadwick, J. van Tilborg, and J. Faure, Phys. Rev. Lett. 89, 174802 (2002).
[CrossRef]

W. P. Leemans, D. Rodgers, P. E. Catravas, C. G. R. Geddes, G. Fubiani, E. Esarey, B. A. Shadwick, R. Donahue, and A. Smith, Phys. Plasmas 8, 2510 (2001).
[CrossRef]

W. P. Leemans, C. W. Siders, E. Esarey, N. E. Andreev, G. Shvets, and W. B. Mori, IEEE Trans. Plasma Sci. 24, 331 (1996).
[CrossRef]

Mori, W. B.

W. P. Leemans, C. W. Siders, E. Esarey, N. E. Andreev, G. Shvets, and W. B. Mori, IEEE Trans. Plasma Sci. 24, 331 (1996).
[CrossRef]

Murnane, M. M.

S. Backus, C. G. Durfee III, M. M. Murnane, and H. C. Kapteyn, Rev. Sci. Instrum. 69, 1207 (1998).
[CrossRef]

Ohno, K.

K. Ohno, T. Tanabe, and F. Kannari, J. Opt. Soc. Am. B 19, 2781 (2002).
[CrossRef]

Patel, J. S.

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

Rodgers, D.

W. P. Leemans, D. Rodgers, P. E. Catravas, C. G. R. Geddes, G. Fubiani, E. Esarey, B. A. Shadwick, R. Donahue, and A. Smith, Phys. Plasmas 8, 2510 (2001).
[CrossRef]

Rose-Petruck, C.

D. N. Fittinghoff, B. C. Walker, J. A. Squier, C. Tóth, C. Rose-Petruck, and C. P. J. Barty, IEEE J. Sel. Top. Quantum Electron. 4, 430 (1998).
[CrossRef]

Salin, F.

Schroeder, C. B.

C. B. Schroeder, E. Esarey, B. A. Shadwick, and W. P. Leemans, Phys. Plasmas 10, 285 (2003).
[CrossRef]

W. P. Leemans, P. Catravas, E. Esarey, C. G. R. Geddes, C. Tóth, R. Trines, C. B. Schroeder, B. A. Shadwick, J. van Tilborg, and J. Faure, Phys. Rev. Lett. 89, 174802 (2002).
[CrossRef]

Shadwick, B. A.

C. B. Schroeder, E. Esarey, B. A. Shadwick, and W. P. Leemans, Phys. Plasmas 10, 285 (2003).
[CrossRef]

W. P. Leemans, P. Catravas, E. Esarey, C. G. R. Geddes, C. Tóth, R. Trines, C. B. Schroeder, B. A. Shadwick, J. van Tilborg, and J. Faure, Phys. Rev. Lett. 89, 174802 (2002).
[CrossRef]

W. P. Leemans, D. Rodgers, P. E. Catravas, C. G. R. Geddes, G. Fubiani, E. Esarey, B. A. Shadwick, R. Donahue, and A. Smith, Phys. Plasmas 8, 2510 (2001).
[CrossRef]

Shvets, G.

W. P. Leemans, C. W. Siders, E. Esarey, N. E. Andreev, G. Shvets, and W. B. Mori, IEEE Trans. Plasma Sci. 24, 331 (1996).
[CrossRef]

Siders, C. W.

W. P. Leemans, C. W. Siders, E. Esarey, N. E. Andreev, G. Shvets, and W. B. Mori, IEEE Trans. Plasma Sci. 24, 331 (1996).
[CrossRef]

Smith, A.

W. P. Leemans, D. Rodgers, P. E. Catravas, C. G. R. Geddes, G. Fubiani, E. Esarey, B. A. Shadwick, R. Donahue, and A. Smith, Phys. Plasmas 8, 2510 (2001).
[CrossRef]

Spielmann, C.

Spitkovsky, A.

A. Spitkovsky and P. Chen, Phys. Lett. A 296, 125 (2002).
[CrossRef]

Sprangle, P.

E. Esarey, P. Sprangle, J. Krall, and A. Ting, IEEE Trans. Plasma Sci. 24, 252 (1996).
[CrossRef]

J. Krall, E. Esarey, P. Sprangle, and G. Joyce, Phys. Plasmas 1, 1738 (1994).
[CrossRef]

Squier, J.

Squier, J. A.

D. N. Fittinghoff, B. C. Walker, J. A. Squier, C. Tóth, C. Rose-Petruck, and C. P. J. Barty, IEEE J. Sel. Top. Quantum Electron. 4, 430 (1998).
[CrossRef]

Sullivan, A.

Tanabe, T.

K. Ohno, T. Tanabe, and F. Kannari, J. Opt. Soc. Am. B 19, 2781 (2002).
[CrossRef]

Ting, A.

E. Esarey, P. Sprangle, J. Krall, and A. Ting, IEEE Trans. Plasma Sci. 24, 252 (1996).
[CrossRef]

Tóth, C.

W. P. Leemans, P. Catravas, E. Esarey, C. G. R. Geddes, C. Tóth, R. Trines, C. B. Schroeder, B. A. Shadwick, J. van Tilborg, and J. Faure, Phys. Rev. Lett. 89, 174802 (2002).
[CrossRef]

D. N. Fittinghoff, B. C. Walker, J. A. Squier, C. Tóth, C. Rose-Petruck, and C. P. J. Barty, IEEE J. Sel. Top. Quantum Electron. 4, 430 (1998).
[CrossRef]

Tournois, P.

Trebino, R.

R. Trebino, Frequency-Resolved Optical Gating: The Measurement of Ultrashort Laser Pulses (Kluwer Academic, Dordrecht, The Netherlands, 2002), p. 101.

Trines, R.

W. P. Leemans, P. Catravas, E. Esarey, C. G. R. Geddes, C. Tóth, R. Trines, C. B. Schroeder, B. A. Shadwick, J. van Tilborg, and J. Faure, Phys. Rev. Lett. 89, 174802 (2002).
[CrossRef]

van Amersfoort, P. W.

V. V. Goloviznin, P. W. van Amersfoort, N. E. Andreev, and V. I. Kirshanov, Phys. Rev. E 52, 5327 (1995).
[CrossRef]

van Tilborg, J.

W. P. Leemans, P. Catravas, E. Esarey, C. G. R. Geddes, C. Tóth, R. Trines, C. B. Schroeder, B. A. Shadwick, J. van Tilborg, and J. Faure, Phys. Rev. Lett. 89, 174802 (2002).
[CrossRef]

Verluise, F.

Walker, B. C.

D. N. Fittinghoff, B. C. Walker, J. A. Squier, C. Tóth, C. Rose-Petruck, and C. P. J. Barty, IEEE J. Sel. Top. Quantum Electron. 4, 430 (1998).
[CrossRef]

Weiner, A. M.

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

White, W. E.

Wullert, J. R.

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

Appl. Opt. (1)

IEEE J. Quantum Electron. (1)

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

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

D. N. Fittinghoff, B. C. Walker, J. A. Squier, C. Tóth, C. Rose-Petruck, and C. P. J. Barty, IEEE J. Sel. Top. Quantum Electron. 4, 430 (1998).
[CrossRef]

IEEE Trans. Plasma Sci. (2)

W. P. Leemans, C. W. Siders, E. Esarey, N. E. Andreev, G. Shvets, and W. B. Mori, IEEE Trans. Plasma Sci. 24, 331 (1996).
[CrossRef]

E. Esarey, P. Sprangle, J. Krall, and A. Ting, IEEE Trans. Plasma Sci. 24, 252 (1996).
[CrossRef]

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

K. Ohno, T. Tanabe, and F. Kannari, J. Opt. Soc. Am. B 19, 2781 (2002).
[CrossRef]

Opt. Lett. (2)

Phys. Lett. A (1)

A. Spitkovsky and P. Chen, Phys. Lett. A 296, 125 (2002).
[CrossRef]

Phys. Plasmas (3)

C. B. Schroeder, E. Esarey, B. A. Shadwick, and W. P. Leemans, Phys. Plasmas 10, 285 (2003).
[CrossRef]

J. Krall, E. Esarey, P. Sprangle, and G. Joyce, Phys. Plasmas 1, 1738 (1994).
[CrossRef]

W. P. Leemans, D. Rodgers, P. E. Catravas, C. G. R. Geddes, G. Fubiani, E. Esarey, B. A. Shadwick, R. Donahue, and A. Smith, Phys. Plasmas 8, 2510 (2001).
[CrossRef]

Phys. Rev. E (1)

V. V. Goloviznin, P. W. van Amersfoort, N. E. Andreev, and V. I. Kirshanov, Phys. Rev. E 52, 5327 (1995).
[CrossRef]

Phys. Rev. Lett. (1)

W. P. Leemans, P. Catravas, E. Esarey, C. G. R. Geddes, C. Tóth, R. Trines, C. B. Schroeder, B. A. Shadwick, J. van Tilborg, and J. Faure, Phys. Rev. Lett. 89, 174802 (2002).
[CrossRef]

Rev. Sci. Instrum. (1)

S. Backus, C. G. Durfee III, M. M. Murnane, and H. C. Kapteyn, Rev. Sci. Instrum. 69, 1207 (1998).
[CrossRef]

Other (1)

R. Trebino, Frequency-Resolved Optical Gating: The Measurement of Ultrashort Laser Pulses (Kluwer Academic, Dordrecht, The Netherlands, 2002), p. 101.

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Figures (4)

Fig. 1
Fig. 1

Typical skewed pulse shapes characterized by the skewness parameter, S.

Fig. 2
Fig. 2

FWHM (dashed curve) and skew S (solid curve) of ultrashort pulses in a CPA system versus grating separation, simulated for three different third-order bias phase components: (a) ϕ3=+30,000 fs3, (b) ϕ3=0 fs3, (c) ϕ3=-30,000 fs3.

Fig. 3
Fig. 3

Simulated (solid curve) and measured (squares) skew of pulses in a CPA system plotted versus grating separation. The insets show retrieved amplitude and phase functions in the time domain at the marked relative grating separations: (a) -420 µm and (b) +410 µm.

Fig. 4
Fig. 4

(a) Measured yield of accelerated electrons (solid curve) and FWHM of the exciting laser pulses (dashed curve) deconvolved from single-shot autocorrelation measurement. (b) Figure of merit M (solid curve and squares), defined by combination of pulse skewness and FWHM, versus compressor position in SM-LWFA experiments. Pulse widths retrieved and averaged from frequency-resolved optical gating measurements (dashed curve and circles) are also plotted in (b). In (a) and (b) the vertical dotted–dashed line represents the shortest pulse-compression position of the gratings. FROG, frequency-resolved optical gating.

Equations (3)

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

S=m3/m23/2,mk=tatbt-t0kItdt/tatbItdt,
2ψζ2=ωp22c2γ021+ψ2-1,
M=M0τ0/τ5/2S+2/1+τ0/2τ5/4,

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