Abstract

We propose a technique for time resolution of the polarization state of ultrashort light pulses that also provides the overall time-varying phase of the pulse. This method is based on a spectral polarimetric analysis of the pulse after propagation through a Kerr medium. The feasibility of this method is demonstrated both numerically and experimentally.

© 2001 Optical Society of America

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References

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  1. See, for example, the special issue on ultrafast optics, IEEE J. Quantum Electron. 35(4) (1999). See also Ref.  2.
  2. Special issue on ultrafast optics, IEEE J. Sel. Topics Quantum Electron. 4(2) (1998), and references therein.
  3. D. J. Kane and R. Trebino, IEEE J. Quantum Electron. 29, 571 (1993).
    [Crossref]
  4. C. Iaconis and I. A. Walmsley, Opt. Lett. 23, 792 (1998).
    [Crossref]
  5. W. J. Walecky, D. N. Fittinghoff, A. L. Smirl, and R. Trebino, Opt. Lett. 22, 81 (1997).
    [Crossref]
  6. B. Haase, Opt. Lett. 24, 543 (1999).
    [Crossref]
  7. B. S. Prade, J. M. Schins, E. T. J. Nibbering, M. A. Franco, and A. Mysyrowicz, Opt. Commun. 113, 79 (1994).
    [Crossref]
  8. G. P. Agrawal, ed., Nonlinear Fiber Optics (Academic, San Diego, Calif., 1989).
  9. M. D. Thomson, J. M. Dudley, L. P. Barry, and J. D. Harvey, Opt. Lett. 23, 1582 (1998).
    [Crossref]
  10. M. A. Franco, H. R. Lange, J. F. Ripoche, B. S. Prade, and A. Mysyrowicz, Opt. Commun. 140, 331 (1997).
    [Crossref]
  11. L. Davis, ed., Handbook of Genetic Algorithms (Van Nostrand Reinhold, New York, 1991).
  12. J. W. Nicholson, P. G. Omenetto, D. J. Funk, and A. J. Taylor, Opt. Lett. 24, 790 (1999).
  13. R. W. Collins, Rev. Sci. Instrum. 61, 2029 (1990).
    [Crossref]
  14. K. Oka and T. Kato, Opt. Lett. 24, 1475 (1999).
    [Crossref]

1999 (4)

See, for example, the special issue on ultrafast optics, IEEE J. Quantum Electron. 35(4) (1999). See also Ref.  2.

B. Haase, Opt. Lett. 24, 543 (1999).
[Crossref]

J. W. Nicholson, P. G. Omenetto, D. J. Funk, and A. J. Taylor, Opt. Lett. 24, 790 (1999).

K. Oka and T. Kato, Opt. Lett. 24, 1475 (1999).
[Crossref]

1998 (3)

M. D. Thomson, J. M. Dudley, L. P. Barry, and J. D. Harvey, Opt. Lett. 23, 1582 (1998).
[Crossref]

Special issue on ultrafast optics, IEEE J. Sel. Topics Quantum Electron. 4(2) (1998), and references therein.

C. Iaconis and I. A. Walmsley, Opt. Lett. 23, 792 (1998).
[Crossref]

1997 (2)

W. J. Walecky, D. N. Fittinghoff, A. L. Smirl, and R. Trebino, Opt. Lett. 22, 81 (1997).
[Crossref]

M. A. Franco, H. R. Lange, J. F. Ripoche, B. S. Prade, and A. Mysyrowicz, Opt. Commun. 140, 331 (1997).
[Crossref]

1994 (1)

B. S. Prade, J. M. Schins, E. T. J. Nibbering, M. A. Franco, and A. Mysyrowicz, Opt. Commun. 113, 79 (1994).
[Crossref]

1993 (1)

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

1990 (1)

R. W. Collins, Rev. Sci. Instrum. 61, 2029 (1990).
[Crossref]

Barry, L. P.

Collins, R. W.

R. W. Collins, Rev. Sci. Instrum. 61, 2029 (1990).
[Crossref]

Dudley, J. M.

Fittinghoff, D. N.

Franco, M. A.

M. A. Franco, H. R. Lange, J. F. Ripoche, B. S. Prade, and A. Mysyrowicz, Opt. Commun. 140, 331 (1997).
[Crossref]

B. S. Prade, J. M. Schins, E. T. J. Nibbering, M. A. Franco, and A. Mysyrowicz, Opt. Commun. 113, 79 (1994).
[Crossref]

Funk, D. J.

J. W. Nicholson, P. G. Omenetto, D. J. Funk, and A. J. Taylor, Opt. Lett. 24, 790 (1999).

Haase, B.

Harvey, J. D.

Iaconis, C.

Kane, D. J.

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

Kato, T.

Lange, H. R.

M. A. Franco, H. R. Lange, J. F. Ripoche, B. S. Prade, and A. Mysyrowicz, Opt. Commun. 140, 331 (1997).
[Crossref]

Mysyrowicz, A.

M. A. Franco, H. R. Lange, J. F. Ripoche, B. S. Prade, and A. Mysyrowicz, Opt. Commun. 140, 331 (1997).
[Crossref]

B. S. Prade, J. M. Schins, E. T. J. Nibbering, M. A. Franco, and A. Mysyrowicz, Opt. Commun. 113, 79 (1994).
[Crossref]

Nibbering, E. T. J.

B. S. Prade, J. M. Schins, E. T. J. Nibbering, M. A. Franco, and A. Mysyrowicz, Opt. Commun. 113, 79 (1994).
[Crossref]

Nicholson, J. W.

J. W. Nicholson, P. G. Omenetto, D. J. Funk, and A. J. Taylor, Opt. Lett. 24, 790 (1999).

Oka, K.

Omenetto, P. G.

J. W. Nicholson, P. G. Omenetto, D. J. Funk, and A. J. Taylor, Opt. Lett. 24, 790 (1999).

Prade, B. S.

M. A. Franco, H. R. Lange, J. F. Ripoche, B. S. Prade, and A. Mysyrowicz, Opt. Commun. 140, 331 (1997).
[Crossref]

B. S. Prade, J. M. Schins, E. T. J. Nibbering, M. A. Franco, and A. Mysyrowicz, Opt. Commun. 113, 79 (1994).
[Crossref]

Ripoche, J. F.

M. A. Franco, H. R. Lange, J. F. Ripoche, B. S. Prade, and A. Mysyrowicz, Opt. Commun. 140, 331 (1997).
[Crossref]

Schins, J. M.

B. S. Prade, J. M. Schins, E. T. J. Nibbering, M. A. Franco, and A. Mysyrowicz, Opt. Commun. 113, 79 (1994).
[Crossref]

Smirl, A. L.

Taylor, A. J.

J. W. Nicholson, P. G. Omenetto, D. J. Funk, and A. J. Taylor, Opt. Lett. 24, 790 (1999).

Thomson, M. D.

Trebino, R.

Walecky, W. J.

Walmsley, I. A.

IEEE J. Quantum Electron. (2)

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

See, for example, the special issue on ultrafast optics, IEEE J. Quantum Electron. 35(4) (1999). See also Ref.  2.

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

Special issue on ultrafast optics, IEEE J. Sel. Topics Quantum Electron. 4(2) (1998), and references therein.

Opt. Commun. (2)

B. S. Prade, J. M. Schins, E. T. J. Nibbering, M. A. Franco, and A. Mysyrowicz, Opt. Commun. 113, 79 (1994).
[Crossref]

M. A. Franco, H. R. Lange, J. F. Ripoche, B. S. Prade, and A. Mysyrowicz, Opt. Commun. 140, 331 (1997).
[Crossref]

Opt. Lett. (6)

Rev. Sci. Instrum. (1)

R. W. Collins, Rev. Sci. Instrum. 61, 2029 (1990).
[Crossref]

Other (2)

L. Davis, ed., Handbook of Genetic Algorithms (Van Nostrand Reinhold, New York, 1991).

G. P. Agrawal, ed., Nonlinear Fiber Optics (Academic, San Diego, Calif., 1989).

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Figures (3)

Fig. 1
Fig. 1

Numerical example of reconstruction of the spectral normalized amplitudes and phases of the two circular components of the input pulse. The original magnitudes are shown by the circles, and the reconstructed magnitudes are shown by the solid curves. (a) Right-handed circular component, (b) left-handed circular component.

Fig. 2
Fig. 2

Experimental setup.

Fig. 3
Fig. 3

Amplitudes and phases of the input pulse. The experimental magnitudes are shown by the circles, and the reconstructed magnitudes are shown by the solid curves. (a) Right-handed circular component in the spectral domain; (b) left-handed circular component in the spectral domain; (c) Cartesian component, Ex, in the temporal domain; (d) Cartesian component, Ey, in the temporal domain. In the inset of (b), we plot the input phase difference.

Equations (1)

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E±L,t=E±0,texpik0L+ϕNL±L,t,ϕNL±L,t=2πλ23n2LE±0,t2+2E0,t2,

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