Abstract

We introduce a self-referenced method for determining the complete polarization state of an ultrafast pulse field. The algorithm is based on any well-established technique that measures both the intensity and phase of a single polarization, such as frequency-resolved optical gating (FROG). We demonstrate the retrieval of nontrivial fields generated using a polarization-amplitude-phase ultrafast pulse shaper using four standard FROG measurements.

© 2008 Optical Society of America

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References

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2007 (2)

2006 (2)

2004 (3)

T. Brixner, G. Krampert, T. Pfeifer, R. Selle, G. Gerber, M. Wollenhaupt, O. Graefe, C. Horn, D. Liese, and T. Baumert, Phys. Rev. Lett. 92, 208301 (2004).
[CrossRef] [PubMed]

T. Suzuki, S. Minemoto, T. Kanai, and H. Sakai, Phys. Rev. Lett. 92, 133005 (2004).
[CrossRef] [PubMed]

V. V. Lozovoy, I. Pastirk, and M. Dantus, Opt. Lett. 29, 775 (2004).
[CrossRef] [PubMed]

2003 (1)

D. Oron, N. Dudovich, and Y. Silberberg, Phys. Rev. Lett. 90, 213902 (2003).
[CrossRef] [PubMed]

2001 (1)

2000 (2)

M. Kakehata, R. Ueda, H. Takada, K. Torizuka, and M. Obara, Appl. Phys. B 70, S207 (2000).
[CrossRef]

A. M. Weiner, Rev. Sci. Instrum. 71, 1929 (2000).
[CrossRef]

1999 (3)

J. Reichert, R. Holzwarth, T. Udem, and T. W. Hänsch, Opt. Commun. 172, 59 (1999).
[CrossRef]

H. R. Telle, G. Steinmeyer, A. E. Dunlop, J. Stenger, D. H. Sutter, and U. Keller, Appl. Phys. B 69, 327 (1999).
[CrossRef]

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

1998 (2)

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

D. Kane, IEEE J. Sel. Top. Quantum Electron. 4, 278 (1998).
[CrossRef]

1997 (1)

1993 (1)

Appl. Opt. (3)

Appl. Phys. B (2)

H. R. Telle, G. Steinmeyer, A. E. Dunlop, J. Stenger, D. H. Sutter, and U. Keller, Appl. Phys. B 69, 327 (1999).
[CrossRef]

M. Kakehata, R. Ueda, H. Takada, K. Torizuka, and M. Obara, Appl. Phys. B 70, S207 (2000).
[CrossRef]

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

D. Kane, IEEE J. Sel. Top. Quantum Electron. 4, 278 (1998).
[CrossRef]

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

Opt. Commun. (1)

J. Reichert, R. Holzwarth, T. Udem, and T. W. Hänsch, Opt. Commun. 172, 59 (1999).
[CrossRef]

Opt. Express (1)

Opt. Lett. (5)

Phys. Rev. Lett. (3)

D. Oron, N. Dudovich, and Y. Silberberg, Phys. Rev. Lett. 90, 213902 (2003).
[CrossRef] [PubMed]

T. Brixner, G. Krampert, T. Pfeifer, R. Selle, G. Gerber, M. Wollenhaupt, O. Graefe, C. Horn, D. Liese, and T. Baumert, Phys. Rev. Lett. 92, 208301 (2004).
[CrossRef] [PubMed]

T. Suzuki, S. Minemoto, T. Kanai, and H. Sakai, Phys. Rev. Lett. 92, 133005 (2004).
[CrossRef] [PubMed]

Rev. Sci. Instrum. (1)

A. M. Weiner, Rev. Sci. Instrum. 71, 1929 (2000).
[CrossRef]

Other (2)

M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, 1999).

R. Trebino, Frequency-Resolved Optical Gating: The Measurement of Ultrashort Laser Pulses (Kluwer, 2000).

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Figures (3)

Fig. 1
Fig. 1

Reconstruction of a pulse obtained by applying a 50 fs relative delay between the polarizations using a pulse shaper.

Fig. 2
Fig. 2

Retrieved delays versus delays imposed using a pulse shaper. Inset, error surface as function of trial θ and τ values; light shades represent better fits. The black lines show the programmed delay in this case, and the circle the lowest point on the error surface.

Fig. 3
Fig. 3

Simulated field reconstructions without supplied amplitude coefficients r. See text for details.

Equations (2)

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i ( Ω τ + θ ) = ln [ r η E ̃ η ( Ω ) e i ( Ω τ η + θ η ) cos η E ̃ x ( Ω ) r sin η E ̃ y ( Ω ) ] .
Γ ( Ω ) = r η 2 E ̃ η ( Ω ) 2 + cos 2 η E ̃ x ( Ω ) 2 r 2 sin 2 η E ̃ y ( Ω ) 2 2 r η cos η E ̃ η ( Ω ) 2 E ̃ x ( Ω ) 2 .

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