Abstract

We present a practical and accurate technique for retrieving the amplitude and the phase of ultrashort pulses from a nonlinear (second-order) intensity cross correlation and the spectrum that overcomes shortcomings of previous attempts. We apply the algorithm to theoretical and experimental data and compare it with frequency-resolved optical gating.

© 1999 Optical Society of America

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  15. Catalog (CVI Laser Corporation, Albuquerque, New Mexico, 1997).

1999 (4)

1998 (2)

1997 (3)

W. Rudolph, M. Sheik-Bahae, A. Bernstein, and L. F. Lester, Opt. Lett. 22, 313 (1997).
[CrossRef] [PubMed]

A. Baltuska, Z. Wei, M. S. Pshenichnikov, D. A. Wiersma, and R. Szipocs, Appl. Phys. B 65, 175 (1997).
[CrossRef]

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbugel, and B. A. Richman, Rev. Sci. Instrum. 68, 3277 (1997).
[CrossRef]

1989 (1)

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

1985 (1)

Angelow, G.

Backus, S.

Baltuska, A.

A. Baltuska, Z. Wei, M. S. Pshenichnikov, D. A. Wiersma, and R. Szipocs, Appl. Phys. B 65, 175 (1997).
[CrossRef]

A. Baltuska, A. Pugzlys, M. Pshenichnikov, and D. A. Wiersma, in Digest of Conference on Lasers and Electro-Optics (CLEO/US) (Optical Society of America, Washington, D.C., 1999), pp. 264–265.

Bernstein, A.

Cheng, Z.

DeLong, K. W.

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbugel, and B. A. Richman, Rev. Sci. Instrum. 68, 3277 (1997).
[CrossRef]

Diels, J.-C.

Durfee, C. G.

Fittinghoff, D. N.

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbugel, and B. A. Richman, Rev. Sci. Instrum. 68, 3277 (1997).
[CrossRef]

Flannery, B. P.

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C, 2nd ed. (Cambridge U. Press, Cambridge, 1995).

Fontaine, J. J.

Funk, D. J.

Furbach, A.

Gallmann, L.

Iaconis, C.

Jau, Y.

T. Yau, Y. Jau, C. Lee, and J. Wang, in Digest of Conference on Lasers and Electro-Optics (CLEO/US) (Optical Society of America, Washington, D.C., 1999), pp. 263–264.

Kapteyn, H. C.

Keller, U.

Krausz, F.

Krumbugel, M. A.

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbugel, and B. A. Richman, Rev. Sci. Instrum. 68, 3277 (1997).
[CrossRef]

Lee, C.

T. Yau, Y. Jau, C. Lee, and J. Wang, in Digest of Conference on Lasers and Electro-Optics (CLEO/US) (Optical Society of America, Washington, D.C., 1999), pp. 263–264.

Lenzner, M.

Lester, L. F.

Matuschek, N.

McMichael, I. C.

Mogi, K.

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

Morier-Genoud, F.

Murnane, M. M.

Naganuma, K.

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

Nicholson, J. W.

Omenetto, F. G.

Peatross, J.

Press, W. H.

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C, 2nd ed. (Cambridge U. Press, Cambridge, 1995).

Pshenichnikov, M.

A. Baltuska, A. Pugzlys, M. Pshenichnikov, and D. A. Wiersma, in Digest of Conference on Lasers and Electro-Optics (CLEO/US) (Optical Society of America, Washington, D.C., 1999), pp. 264–265.

Pshenichnikov, M. S.

A. Baltuska, Z. Wei, M. S. Pshenichnikov, D. A. Wiersma, and R. Szipocs, Appl. Phys. B 65, 175 (1997).
[CrossRef]

Pugzlys, A.

A. Baltuska, A. Pugzlys, M. Pshenichnikov, and D. A. Wiersma, in Digest of Conference on Lasers and Electro-Optics (CLEO/US) (Optical Society of America, Washington, D.C., 1999), pp. 264–265.

Richman, B. A.

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbugel, and B. A. Richman, Rev. Sci. Instrum. 68, 3277 (1997).
[CrossRef]

Rudolph, W.

Rundquist, A.

Sartania, S.

Scheuer, V.

Sheik-Bahae, M.

Simoni, F.

Spielmann, Ch.

Steinmeyer, G.

Sutter, D. H.

Sweetser, J. N.

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbugel, and B. A. Richman, Rev. Sci. Instrum. 68, 3277 (1997).
[CrossRef]

Szipocs, R.

A. Baltuska, Z. Wei, M. S. Pshenichnikov, D. A. Wiersma, and R. Szipocs, Appl. Phys. B 65, 175 (1997).
[CrossRef]

Taylor, A. J.

Teukolsky, S. A.

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C, 2nd ed. (Cambridge U. Press, Cambridge, 1995).

Trebino, R.

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbugel, and B. A. Richman, Rev. Sci. Instrum. 68, 3277 (1997).
[CrossRef]

Tschudi, T.

Vetterling, W. T.

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C, 2nd ed. (Cambridge U. Press, Cambridge, 1995).

Walmsley, I. A.

Wang, J.

T. Yau, Y. Jau, C. Lee, and J. Wang, in Digest of Conference on Lasers and Electro-Optics (CLEO/US) (Optical Society of America, Washington, D.C., 1999), pp. 263–264.

Wei, Z.

A. Baltuska, Z. Wei, M. S. Pshenichnikov, D. A. Wiersma, and R. Szipocs, Appl. Phys. B 65, 175 (1997).
[CrossRef]

Wiersma, D. A.

A. Baltuska, Z. Wei, M. S. Pshenichnikov, D. A. Wiersma, and R. Szipocs, Appl. Phys. B 65, 175 (1997).
[CrossRef]

A. Baltuska, A. Pugzlys, M. Pshenichnikov, and D. A. Wiersma, in Digest of Conference on Lasers and Electro-Optics (CLEO/US) (Optical Society of America, Washington, D.C., 1999), pp. 264–265.

Yamada, H.

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

Yau, T.

T. Yau, Y. Jau, C. Lee, and J. Wang, in Digest of Conference on Lasers and Electro-Optics (CLEO/US) (Optical Society of America, Washington, D.C., 1999), pp. 263–264.

Appl. Opt. (1)

Appl. Phys. B (1)

A. Baltuska, Z. Wei, M. S. Pshenichnikov, D. A. Wiersma, and R. Szipocs, Appl. Phys. B 65, 175 (1997).
[CrossRef]

IEEE J. Quantum Electron. (1)

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

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

Opt. Lett. (6)

Rev. Sci. Instrum. (1)

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbugel, and B. A. Richman, Rev. Sci. Instrum. 68, 3277 (1997).
[CrossRef]

Other (4)

A. Baltuska, A. Pugzlys, M. Pshenichnikov, and D. A. Wiersma, in Digest of Conference on Lasers and Electro-Optics (CLEO/US) (Optical Society of America, Washington, D.C., 1999), pp. 264–265.

T. Yau, Y. Jau, C. Lee, and J. Wang, in Digest of Conference on Lasers and Electro-Optics (CLEO/US) (Optical Society of America, Washington, D.C., 1999), pp. 263–264.

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C, 2nd ed. (Cambridge U. Press, Cambridge, 1995).

Catalog (CVI Laser Corporation, Albuquerque, New Mexico, 1997).

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Figures (4)

Fig. 1
Fig. 1

Intensity (log plot) and phase of a synthetic target pulse and the pulse retrieved with PICASO. Δ=2.1×10-5.

Fig. 2
Fig. 2

Experimentally measured and retrieved cross correlation (log plot) of pulses from a Ti:sapphire oscillator. Δ=1.0×10-3. Inset, the measured pulse spectrum on a linear scale.

Fig. 3
Fig. 3

Intensity and phase of a pulse retrieved from the cross correlation in Fig. 2. Inset, this pulse after the SQ1 retrieved from the cross correlation (solid curves) compared with independent retrieval with the SQ1 in front of the (balanced) autocorrelator (dashed curves).

Fig. 4
Fig. 4

Intensity and phase from a FROG measurement compared with a PICASO retrieval of a 300-fs pulse at 1.5 µm.

Equations (3)

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A˜1t=F-1SωexpiΦiniω,
A˜2t=F-1SωexpiΦiniωexp-iΨω.
Δ=1Ni=1NImτi-Irτi21/2.

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