Abstract

We demonstrate a simple sensitive linear technique that quantifies the spatiotemporal coupling in the electric field of an ultrashort optical pulse. The space–time uniformity of the field can be determined with only time-stationary filters and square-law integrating detectors, even if it is impossible to measure the temporal electric field in this way. A degree of spatiotemporal uniformity is defined and can be used with the demonstrated diagnostic to quantify space-time coupling. Experimental measurements of space–time coupling due to linear and nonlinear focusing, refraction, and diffraction are presented.

© 2002 Optical Society of America

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References

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    [CrossRef]
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    [CrossRef]
  15. M. Françon and S. Mallick, Polarization Interferometers—Applications in Microscopy and Macroscopy (Wiley Interscience, New York, 1971).

2002 (1)

2001 (1)

I. Walmsley, L. Waxer, and C. Dorrer, Rev. Sci. Instrum. 72, 1 (2001).
[CrossRef]

2000 (3)

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

J. C. Chanteloup, E. Salmon, C. Sauteret, A. Migus, P. Zeitoun, A. Klisnick, A. Carillon, S. Hubert, D. Ros, P. Nickles, and M. Kalachnikov, J. Opt. Soc. Am. B 17, 151 (2000).
[CrossRef]

R. Netz, T. Feurer, R. Wolleschensky, and R. Sauerbrey, Appl. Phys. B 70, 833 (2000).
[CrossRef]

1999 (3)

1996 (1)

C. Radzewicz, M. J. La Grone, and J. S. Krasinski, Opt. Commun. 126, 185 (1996).
[CrossRef]

1989 (2)

Bisson, S. E.

Bor, Z.

Carillon, A.

Chanteloup, J. C.

Clement, T. S.

S. A. Diddams, H. K. Eaton, A. A. Zozulya, and T. S. Clement, in Conference on Lasers and Electro-Optics, Vol. 6 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), paper CFF3.

Diddams, S. A.

S. A. Diddams, H. K. Eaton, A. A. Zozulya, and T. S. Clement, in Conference on Lasers and Electro-Optics, Vol. 6 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), paper CFF3.

Dorrer, C.

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

I. Walmsley, L. Waxer, and C. Dorrer, Rev. Sci. Instrum. 72, 1 (2001).
[CrossRef]

Eaton, H. K.

S. A. Diddams, H. K. Eaton, A. A. Zozulya, and T. S. Clement, in Conference on Lasers and Electro-Optics, Vol. 6 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), paper CFF3.

Feurer, T.

R. Netz, T. Feurer, R. Wolleschensky, and R. Sauerbrey, Appl. Phys. B 70, 833 (2000).
[CrossRef]

Françon, M.

M. Françon and S. Mallick, Polarization Interferometers—Applications in Microscopy and Macroscopy (Wiley Interscience, New York, 1971).

Gallmann, L.

Gogolak, Z.

Greibner, U.

R. Grunwald, V. Kebbel, U. Greibner, E. T. J. Niberring, A. Kummrov, and M. Rini, in Conference on Lasers and Electro-Optics (CLEO), Vol. 73 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), pp. 84–85.

R. Grunwald, V. Kebbel, U. Greibner, E. T. J. Niberring, A. Kummrov, and M. Rini, in Conference on Lasers and Electro-Optics (CLEO), Vol. 73 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), pp. 84–85.

Grunwald, R.

R. Grunwald, V. Kebbel, U. Greibner, E. T. J. Niberring, A. Kummrov, and M. Rini, in Conference on Lasers and Electro-Optics (CLEO), Vol. 73 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), pp. 84–85.

R. Grunwald, V. Kebbel, U. Greibner, E. T. J. Niberring, A. Kummrov, and M. Rini, in Conference on Lasers and Electro-Optics (CLEO), Vol. 73 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), pp. 84–85.

Hubert, S.

Iaconis, C.

Jacobson, A.

Jasapara, J.

Kalachnikov, M.

Kebbel, V.

R. Grunwald, V. Kebbel, U. Greibner, E. T. J. Niberring, A. Kummrov, and M. Rini, in Conference on Lasers and Electro-Optics (CLEO), Vol. 73 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), pp. 84–85.

R. Grunwald, V. Kebbel, U. Greibner, E. T. J. Niberring, A. Kummrov, and M. Rini, in Conference on Lasers and Electro-Optics (CLEO), Vol. 73 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), pp. 84–85.

Keller, U.

Klisnick, A.

Kosik, E.

Krasinski, J. S.

C. Radzewicz, M. J. La Grone, and J. S. Krasinski, Opt. Commun. 126, 185 (1996).
[CrossRef]

Kummrov, A.

R. Grunwald, V. Kebbel, U. Greibner, E. T. J. Niberring, A. Kummrov, and M. Rini, in Conference on Lasers and Electro-Optics (CLEO), Vol. 73 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), pp. 84–85.

R. Grunwald, V. Kebbel, U. Greibner, E. T. J. Niberring, A. Kummrov, and M. Rini, in Conference on Lasers and Electro-Optics (CLEO), Vol. 73 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), pp. 84–85.

La Grone, M. J.

C. Radzewicz, M. J. La Grone, and J. S. Krasinski, Opt. Commun. 126, 185 (1996).
[CrossRef]

Mallick, S.

M. Françon and S. Mallick, Polarization Interferometers—Applications in Microscopy and Macroscopy (Wiley Interscience, New York, 1971).

Matuschek, N.

Migus, A.

Netz, R.

R. Netz, T. Feurer, R. Wolleschensky, and R. Sauerbrey, Appl. Phys. B 70, 833 (2000).
[CrossRef]

Niberring, E. T. J.

R. Grunwald, V. Kebbel, U. Greibner, E. T. J. Niberring, A. Kummrov, and M. Rini, in Conference on Lasers and Electro-Optics (CLEO), Vol. 73 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), pp. 84–85.

R. Grunwald, V. Kebbel, U. Greibner, E. T. J. Niberring, A. Kummrov, and M. Rini, in Conference on Lasers and Electro-Optics (CLEO), Vol. 73 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), pp. 84–85.

Nickles, P.

Radzewicz, C.

C. Radzewicz, M. J. La Grone, and J. S. Krasinski, Opt. Commun. 126, 185 (1996).
[CrossRef]

Richman, B. A.

Rini, M.

R. Grunwald, V. Kebbel, U. Greibner, E. T. J. Niberring, A. Kummrov, and M. Rini, in Conference on Lasers and Electro-Optics (CLEO), Vol. 73 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), pp. 84–85.

R. Grunwald, V. Kebbel, U. Greibner, E. T. J. Niberring, A. Kummrov, and M. Rini, in Conference on Lasers and Electro-Optics (CLEO), Vol. 73 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), pp. 84–85.

Ros, D.

Rudolph, W.

Salmon, E.

Sauerbrey, R.

R. Netz, T. Feurer, R. Wolleschensky, and R. Sauerbrey, Appl. Phys. B 70, 833 (2000).
[CrossRef]

Sauteret, C.

Sidick, E.

Steinmeyer, G.

Sutter, D. H.

Szabo, G.

Trebino, R.

Walmsley, I.

I. Walmsley, L. Waxer, and C. Dorrer, Rev. Sci. Instrum. 72, 1 (2001).
[CrossRef]

Walmsley, I. A.

Waxer, L.

I. Walmsley, L. Waxer, and C. Dorrer, Rev. Sci. Instrum. 72, 1 (2001).
[CrossRef]

Weiner, A. M.

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

Wolleschensky, R.

R. Netz, T. Feurer, R. Wolleschensky, and R. Sauerbrey, Appl. Phys. B 70, 833 (2000).
[CrossRef]

Zeitoun, P.

Zozulya, A. A.

S. A. Diddams, H. K. Eaton, A. A. Zozulya, and T. S. Clement, in Conference on Lasers and Electro-Optics, Vol. 6 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), paper CFF3.

Appl. Opt. (1)

Appl. Phys. B (1)

R. Netz, T. Feurer, R. Wolleschensky, and R. Sauerbrey, Appl. Phys. B 70, 833 (2000).
[CrossRef]

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

Opt. Commun. (1)

C. Radzewicz, M. J. La Grone, and J. S. Krasinski, Opt. Commun. 126, 185 (1996).
[CrossRef]

Opt. Lett. (5)

Rev. Sci. Instrum. (2)

I. Walmsley, L. Waxer, and C. Dorrer, Rev. Sci. Instrum. 72, 1 (2001).
[CrossRef]

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

Other (4)

S. A. Diddams, H. K. Eaton, A. A. Zozulya, and T. S. Clement, in Conference on Lasers and Electro-Optics, Vol. 6 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), paper CFF3.

R. Grunwald, V. Kebbel, U. Greibner, E. T. J. Niberring, A. Kummrov, and M. Rini, in Conference on Lasers and Electro-Optics (CLEO), Vol. 73 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), pp. 84–85.

R. Grunwald, V. Kebbel, U. Greibner, E. T. J. Niberring, A. Kummrov, and M. Rini, in Conference on Lasers and Electro-Optics (CLEO), Vol. 73 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), pp. 84–85.

M. Françon and S. Mallick, Polarization Interferometers—Applications in Microscopy and Macroscopy (Wiley Interscience, New York, 1971).

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Figures (3)

Fig. 1
Fig. 1

Spatial shearing interferometer based on (a) a Michelson interferometer and (b) a birefringent plane.

Fig. 2
Fig. 2

Contour plot of the measured phase after (a) linear focusing and (b) nonlinear propagation. The interval between each line is 0.2 rad.

Fig. 3
Fig. 3

Contour plot of the intensity in the k,ω space after a LaK21 prism. The energy lies along a line k=γω, which allows the measurement of γ.

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