Abstract

We propose an experimental technique that allows for a complete characterization of the amplitude and phase of optical pulses in space and time. By the combination of a spatially resolved spectral measurement in the near and far fields and a frequency-resolved optical gating measurement, the electric field of the pulse is obtained through a fast, error-reduction algorithm.

© 2008 Optical Society of America

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References

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  1. D. J. Kane and R. Trebino, IEEE J. Quantum Electron. 29, 571 (1993).
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    [CrossRef]

2007 (2)

2006 (2)

P. Gabolde and R. Trebino, Opt. Express 14, 11460 (2006).
[CrossRef] [PubMed]

D. Faccio, M. A. Porras, A. Dubietis, F. Bragheri, A. Couairon, and P. Di Trapani, Phys. Rev. Lett. 96, 193901 (2006).
[CrossRef] [PubMed]

2004 (1)

2002 (3)

1999 (1)

C. Iaconis and I. A. Walmsley, IEEE J. Quantum Electron. 35, 501 (1999).
[CrossRef]

1996 (1)

M. M. Wefers and K. A. Nelson, IEEE J. Quantum Electron. 32, 161 (1996).
[CrossRef]

1994 (1)

C. Fiorini, S. Sauteret, C. Rouyer, N. Blanchot, S. Seznec, and A. Migus, IEEE J. Quantum Electron. 30, 1662 (1994).
[CrossRef]

1993 (1)

D. J. Kane and R. Trebino, IEEE J. Quantum Electron. 29, 571 (1993).
[CrossRef]

1989 (1)

1986 (1)

O. E. Martinez, Opt. Commun. 59, 229 (1986).
[CrossRef]

1982 (1)

Akhmanov, S. A.

S. A. Akhmanov, V. A. Vysloukh, and A. S. Chirkin, Optics of Femtosecond Laser Pulses (American Institute of Physics, 1992).

Blanchot, N.

C. Fiorini, S. Sauteret, C. Rouyer, N. Blanchot, S. Seznec, and A. Migus, IEEE J. Quantum Electron. 30, 1662 (1994).
[CrossRef]

Bor, Z.

Bowlan, P.

Bragheri, F.

D. Faccio, M. A. Porras, A. Dubietis, F. Bragheri, A. Couairon, and P. Di Trapani, Phys. Rev. Lett. 96, 193901 (2006).
[CrossRef] [PubMed]

Chirkin, A. S.

S. A. Akhmanov, V. A. Vysloukh, and A. S. Chirkin, Optics of Femtosecond Laser Pulses (American Institute of Physics, 1992).

Couairon, A.

A. Couairon and A. Mysyrowicz, Phys. Rep. 441, 47 (2007).
[CrossRef]

D. Faccio, M. A. Porras, A. Dubietis, F. Bragheri, A. Couairon, and P. Di Trapani, Phys. Rev. Lett. 96, 193901 (2006).
[CrossRef] [PubMed]

Di Trapani, P.

D. Faccio, M. A. Porras, A. Dubietis, F. Bragheri, A. Couairon, and P. Di Trapani, Phys. Rev. Lett. 96, 193901 (2006).
[CrossRef] [PubMed]

Dorrer, C.

Dubietis, A.

D. Faccio, M. A. Porras, A. Dubietis, F. Bragheri, A. Couairon, and P. Di Trapani, Phys. Rev. Lett. 96, 193901 (2006).
[CrossRef] [PubMed]

Faccio, D.

D. Faccio, M. A. Porras, A. Dubietis, F. Bragheri, A. Couairon, and P. Di Trapani, Phys. Rev. Lett. 96, 193901 (2006).
[CrossRef] [PubMed]

Fienup, J. R.

Fiorini, C.

C. Fiorini, S. Sauteret, C. Rouyer, N. Blanchot, S. Seznec, and A. Migus, IEEE J. Quantum Electron. 30, 1662 (1994).
[CrossRef]

Gabolde, P.

Iaconis, C.

C. Iaconis and I. A. Walmsley, IEEE J. Quantum Electron. 35, 501 (1999).
[CrossRef]

Kane, D. J.

D. J. Kane and R. Trebino, IEEE J. Quantum Electron. 29, 571 (1993).
[CrossRef]

Kosik, E. M.

C. Dorrer, E. M. Kosik, and I. A. Walmsley, Opt. Lett. 27, 548 (2002).
[CrossRef]

C. Dorrer, E. M. Kosik, and I. A. Walmsley, Appl. Phys. B 74, S209 (2002).
[CrossRef]

Martinez, O. E.

O. E. Martinez, Opt. Commun. 59, 229 (1986).
[CrossRef]

Migus, A.

C. Fiorini, S. Sauteret, C. Rouyer, N. Blanchot, S. Seznec, and A. Migus, IEEE J. Quantum Electron. 30, 1662 (1994).
[CrossRef]

Mysyrowicz, A.

A. Couairon and A. Mysyrowicz, Phys. Rep. 441, 47 (2007).
[CrossRef]

Nelson, K. A.

M. M. Wefers and K. A. Nelson, IEEE J. Quantum Electron. 32, 161 (1996).
[CrossRef]

Porras, M. A.

D. Faccio, M. A. Porras, A. Dubietis, F. Bragheri, A. Couairon, and P. Di Trapani, Phys. Rev. Lett. 96, 193901 (2006).
[CrossRef] [PubMed]

Rouyer, C.

C. Fiorini, S. Sauteret, C. Rouyer, N. Blanchot, S. Seznec, and A. Migus, IEEE J. Quantum Electron. 30, 1662 (1994).
[CrossRef]

Sauteret, S.

C. Fiorini, S. Sauteret, C. Rouyer, N. Blanchot, S. Seznec, and A. Migus, IEEE J. Quantum Electron. 30, 1662 (1994).
[CrossRef]

Seznec, S.

C. Fiorini, S. Sauteret, C. Rouyer, N. Blanchot, S. Seznec, and A. Migus, IEEE J. Quantum Electron. 30, 1662 (1994).
[CrossRef]

Trebino, R.

Vysloukh, V. A.

S. A. Akhmanov, V. A. Vysloukh, and A. S. Chirkin, Optics of Femtosecond Laser Pulses (American Institute of Physics, 1992).

Walmsley, I. A.

C. Dorrer, E. M. Kosik, and I. A. Walmsley, Opt. Lett. 27, 548 (2002).
[CrossRef]

C. Dorrer, E. M. Kosik, and I. A. Walmsley, Appl. Phys. B 74, S209 (2002).
[CrossRef]

C. Dorrer and I. A. Walmsley, Opt. Lett. 27, 1947 (2002).
[CrossRef]

C. Iaconis and I. A. Walmsley, IEEE J. Quantum Electron. 35, 501 (1999).
[CrossRef]

Wefers, M. M.

M. M. Wefers and K. A. Nelson, IEEE J. Quantum Electron. 32, 161 (1996).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. B (1)

C. Dorrer, E. M. Kosik, and I. A. Walmsley, Appl. Phys. B 74, S209 (2002).
[CrossRef]

IEEE J. Quantum Electron. (4)

D. J. Kane and R. Trebino, IEEE J. Quantum Electron. 29, 571 (1993).
[CrossRef]

C. Iaconis and I. A. Walmsley, IEEE J. Quantum Electron. 35, 501 (1999).
[CrossRef]

M. M. Wefers and K. A. Nelson, IEEE J. Quantum Electron. 32, 161 (1996).
[CrossRef]

C. Fiorini, S. Sauteret, C. Rouyer, N. Blanchot, S. Seznec, and A. Migus, IEEE J. Quantum Electron. 30, 1662 (1994).
[CrossRef]

Opt. Commun. (1)

O. E. Martinez, Opt. Commun. 59, 229 (1986).
[CrossRef]

Opt. Express (3)

Opt. Lett. (3)

Phys. Rep. (1)

A. Couairon and A. Mysyrowicz, Phys. Rep. 441, 47 (2007).
[CrossRef]

Phys. Rev. Lett. (1)

D. Faccio, M. A. Porras, A. Dubietis, F. Bragheri, A. Couairon, and P. Di Trapani, Phys. Rev. Lett. 96, 193901 (2006).
[CrossRef] [PubMed]

Other (1)

S. A. Akhmanov, V. A. Vysloukh, and A. S. Chirkin, Optics of Femtosecond Laser Pulses (American Institute of Physics, 1992).

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Figures (3)

Fig. 1
Fig. 1

Experimental layout of the setup used in the three steps of the technique. Lenses L form a telescope that images the object to be measured onto the nonlinear KDP crystal. Lens L F is moved so as to image the output facet of KDP or to give the object’s far field at the entrance of the spectrometer. M, mirror.

Fig. 2
Fig. 2

(a) Tilted pulse produced by the grating. Experimental data: (b) measured spectrogram, (c) far-field spectrum, (d) near-field spectrum.

Fig. 3
Fig. 3

(a) Retrieved amplitude and (b) phase of the TP in function of time and space. The energy of the pulse lies on a straight line r = cost t and the phase shows a quadratic chirp.

Equations (1)

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E ( r , ω ) = E ( r , ω ) e i [ φ ( r , ω ) + φ 0 ( ω ) ] .

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