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

2006

2004

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

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

2001

2000

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

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

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

1993

Appl. Opt.

Appl. Phys. B

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.

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

J. Opt. Soc. Am. A

Opt. Commun.

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

Opt. Express

Opt. Lett.

Phys. Rev. Lett.

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.

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

Other

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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