Abstract

A new technique for determining the complex electric field of an ultrashort light pulse is analyzed and experimentally demonstrated. It is based on the measurement of the spectrally resolved intensity autocorrelation and an iterative procedure of data deconvolution. This method is shown to be convenient and reliable.

© 1993 Optical Society of America

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References

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  1. K. Naganuma, K. Mogi, H. Yamada, IEEE J. Quantum Electron. 25, 1225 (1989).
    [CrossRef]
  2. C. Yan, J.-C. Diels, J. Opt. Soc. Am. B 8, 1259 (1991).
    [CrossRef]
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    [CrossRef]
  4. J. L. A. Chilla, O. E. Martinez, Opt. Lett. 16, 39 (1992).
    [CrossRef]
  5. X. M. Zhao, S. Diddams, J.-C. Diels, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), paper CFB2.
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
  11. Y. Ishida, K. Naganuma, T. Yajima, IEEE J. Quantum Electron. QE-21, 69 (1985).
    [CrossRef]
  12. A. M. Wiener, IEEE J. Quantum Electron. QE-19, 1276 (1983).
    [CrossRef]
  13. J. Paye, “How to measure the amplitude and phase of an ultrashort light pulse with an autocorrelator and a spectrometer,” submitted to IEEE J. Quantum Electron.
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    [CrossRef] [PubMed]
  15. J. Paye, IEEE J. Quantum Electron. 28, 2262 (1992).
    [CrossRef]
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    [CrossRef]

1993 (1)

1992 (4)

J.-P. Foing, J.-P. Likforman, M. Joffre, A. Migus, IEEE J. Quantum Electron. 28, 2285 (1992).
[CrossRef]

M. Lai, J.-C. Diels, Opt. Commun. 88, 319 (1992).
[CrossRef]

J. L. A. Chilla, O. E. Martinez, Opt. Lett. 16, 39 (1992).
[CrossRef]

J. Paye, IEEE J. Quantum Electron. 28, 2262 (1992).
[CrossRef]

1991 (1)

1989 (1)

K. Naganuma, K. Mogi, H. Yamada, IEEE J. Quantum Electron. 25, 1225 (1989).
[CrossRef]

1987 (1)

1985 (1)

Y. Ishida, K. Naganuma, T. Yajima, IEEE J. Quantum Electron. QE-21, 69 (1985).
[CrossRef]

1983 (2)

1979 (1)

R. N. Gyuzalian, S. B. Sogomian, Z. Gy. Horvath, Opt. Commun. 29, 239 (1979).
[CrossRef]

1978 (1)

1975 (1)

E. P. Ippen, C. V. Shank, Appl. Phys. Lett. 27, 488 (1975).
[CrossRef]

Becker, P. C.

Brito Cruz, C. H.

Chilla, J. L. A.

Diddams, S.

X. M. Zhao, S. Diddams, J.-C. Diels, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), paper CFB2.

Diels, J.-C.

M. Lai, J.-C. Diels, Opt. Commun. 88, 319 (1992).
[CrossRef]

C. Yan, J.-C. Diels, J. Opt. Soc. Am. B 8, 1259 (1991).
[CrossRef]

X. M. Zhao, S. Diddams, J.-C. Diels, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), paper CFB2.

Fienup, J. R.

Foing, J.-P.

J.-P. Foing, J.-P. Likforman, M. Joffre, A. Migus, IEEE J. Quantum Electron. 28, 2285 (1992).
[CrossRef]

Fork, R. L.

Gyuzalian, R. N.

R. N. Gyuzalian, S. B. Sogomian, Z. Gy. Horvath, Opt. Commun. 29, 239 (1979).
[CrossRef]

Hirlimann, C.

Horvath, Z. Gy.

R. N. Gyuzalian, S. B. Sogomian, Z. Gy. Horvath, Opt. Commun. 29, 239 (1979).
[CrossRef]

Ippen, E. P.

E. P. Ippen, C. V. Shank, Appl. Phys. Lett. 27, 488 (1975).
[CrossRef]

Ishida, Y.

Y. Ishida, K. Naganuma, T. Yajima, IEEE J. Quantum Electron. QE-21, 69 (1985).
[CrossRef]

Joffre, M.

J.-P. Foing, J.-P. Likforman, M. Joffre, A. Migus, IEEE J. Quantum Electron. 28, 2285 (1992).
[CrossRef]

Kane, D. J.

Lai, M.

M. Lai, J.-C. Diels, Opt. Commun. 88, 319 (1992).
[CrossRef]

Likforman, J.-P.

J.-P. Foing, J.-P. Likforman, M. Joffre, A. Migus, IEEE J. Quantum Electron. 28, 2285 (1992).
[CrossRef]

Martinez, O. E.

Migus, A.

J.-P. Foing, J.-P. Likforman, M. Joffre, A. Migus, IEEE J. Quantum Electron. 28, 2285 (1992).
[CrossRef]

Mogi, K.

K. Naganuma, K. Mogi, H. Yamada, IEEE J. Quantum Electron. 25, 1225 (1989).
[CrossRef]

Naganuma, K.

K. Naganuma, K. Mogi, H. Yamada, IEEE J. Quantum Electron. 25, 1225 (1989).
[CrossRef]

Y. Ishida, K. Naganuma, T. Yajima, IEEE J. Quantum Electron. QE-21, 69 (1985).
[CrossRef]

Paye, J.

J. Paye, IEEE J. Quantum Electron. 28, 2262 (1992).
[CrossRef]

J. Paye, “How to measure the amplitude and phase of an ultrashort light pulse with an autocorrelator and a spectrometer,” submitted to IEEE J. Quantum Electron.

Shank, C. V.

Sogomian, S. B.

R. N. Gyuzalian, S. B. Sogomian, Z. Gy. Horvath, Opt. Commun. 29, 239 (1979).
[CrossRef]

Tomlinson, W. J.

Trebino, R.

Wiener, A. M.

A. M. Wiener, IEEE J. Quantum Electron. QE-19, 1276 (1983).
[CrossRef]

Yajima, T.

Y. Ishida, K. Naganuma, T. Yajima, IEEE J. Quantum Electron. QE-21, 69 (1985).
[CrossRef]

Yamada, H.

K. Naganuma, K. Mogi, H. Yamada, IEEE J. Quantum Electron. 25, 1225 (1989).
[CrossRef]

Yan, C.

Yen, R.

Zhao, X. M.

X. M. Zhao, S. Diddams, J.-C. Diels, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), paper CFB2.

Appl. Phys. Lett. (1)

E. P. Ippen, C. V. Shank, Appl. Phys. Lett. 27, 488 (1975).
[CrossRef]

IEEE J. Quantum Electron. (5)

Y. Ishida, K. Naganuma, T. Yajima, IEEE J. Quantum Electron. QE-21, 69 (1985).
[CrossRef]

A. M. Wiener, IEEE J. Quantum Electron. QE-19, 1276 (1983).
[CrossRef]

J. Paye, IEEE J. Quantum Electron. 28, 2262 (1992).
[CrossRef]

K. Naganuma, K. Mogi, H. Yamada, IEEE J. Quantum Electron. 25, 1225 (1989).
[CrossRef]

J.-P. Foing, J.-P. Likforman, M. Joffre, A. Migus, IEEE J. Quantum Electron. 28, 2285 (1992).
[CrossRef]

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

Opt. Commun. (2)

M. Lai, J.-C. Diels, Opt. Commun. 88, 319 (1992).
[CrossRef]

R. N. Gyuzalian, S. B. Sogomian, Z. Gy. Horvath, Opt. Commun. 29, 239 (1979).
[CrossRef]

Opt. Lett. (5)

Other (2)

X. M. Zhao, S. Diddams, J.-C. Diels, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), paper CFB2.

J. Paye, “How to measure the amplitude and phase of an ultrashort light pulse with an autocorrelator and a spectrometer,” submitted to IEEE J. Quantum Electron.

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Figures (3)

Fig. 1
Fig. 1

Iterative procedure to retrieve the amplitude and phase of an ultrashort light pulse from the SRA.

Fig. 2
Fig. 2

Spectral amplitude and phase of the femtosecond pulse calculated from the measured SRA. The spectral amplitude is deduced from an independent measurement of the spectrum (dotted curve). Inset: Square root of the measured SRA.

Fig. 3
Fig. 3

Chronocyclic representation of the femtosecond pulse calculated from the spectral amplitude and phase in Fig. 2. Left end of the perspective: spectral intensity. Far end of the perspective: temporal intensity (solid curve), intensity autocorrelation deduced from the calculated amplitude (dashed curve), and intensity autocorrelation obtained by spectral integration of the SRA (dotted curve).

Equations (5)

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S ( ω , τ ) = | + A ( t ) A ( t + τ ) exp ( i ω 0 τ ) × exp [ i ( ω 2 ω 0 ) t ] d t | 2 .
ξ ( ω , τ ) = + A ( t ) A ( t + τ ) exp ( i ω t ) d t .
S ( ω , τ ) = | ξ ( ω 2 ω 0 , τ ) | 2 .
A ( τ ) = [ 1 2 π + ξ ( ω , τ ) d ω ] [ 1 2 π + ξ ( ω , 0 ) d ω ] 1 / 2 .
| A ˜ ( ω ω 0 ) | 2 = + { 1 2 π + [ + S ( ω , τ ) d τ ] × exp ( i ω t ) d ω } 1 / 2 exp ( i ω t ) d t .

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