Abstract

An extension of the well-known technique for spectral phase interferometry for direct electric-field reconstruction (SPIDER) has been developed that permits the reconstruction of the spectral amplitude and the spectral phase of ultrashort laser pulses from the acquisition of only one spectrum. Temporal intensity and temporal phase can therefore easily be retrieved. The characterization of pulses from a Ti:sapphire oscillator by use of an extended SPIDER is discussed. Advantages and drawbacks of the modified technique are also discussed.

© 2001 Optical Society of America

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References

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  1. R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbügel, and B. A. Richman, Rev. Sci. Instrum. 68, 3277–3295 (1997).
    [CrossRef]
  2. C. Iaconis and I. A. Walmsley, Opt. Lett. 23, 792–794 (1998).
    [CrossRef]
  3. C. Iaconis and I. A. Walmsley, IEEE J. Quantum Electron. 35, 501–509 (1999).
    [CrossRef]
  4. I. A. Walmsley and V. Wong, J. Opt. Soc. Am. B 13, 2453–2463 (1996).
    [CrossRef]
  5. C. Iaconis, V. Wong, and I. A. Walmsley, IEEE J. Sel. Top. Quantum Electron. 4, 285–294 (1998).
    [CrossRef]
  6. T. M. Shuman, M. E. Anderson, J. Bromage, C. Iaconis, L. Waxer, and I. A. Walmsley, Opt. Express 5, 134–143 (1999); http://www.opticsexpress.org .
    [CrossRef] [PubMed]
  7. L. Gallmann, D. H. Sutter, N. Matuschek, G. Steinmeyer, and U. Keller, Appl. Phys. B Suppl. 70, 67–75 (2000).
    [CrossRef]
  8. C. Dorrer, S. Ranc, J.-P. Rousseau, C. Le Blanc, and J.-P. Chambaret, in Conference on Lasers and Electro-Optics, 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), pp. 533–534.
  9. L. Gallmann, G. Steinmeyer, D. H. Sutter, T. Rupp, C. Iaconis, I. A. Walmsley, and U. Keller, Opt. Lett. 26, 96–98 (2001).
    [CrossRef]
  10. C. Dorrer, Opt. Lett. 24, 1532–1534 (1999).
    [CrossRef]
  11. C. Dorrer, B. de Beauvoir, C. Le Blanc, J.-P. Rousseau, S. Ranc, P. Rousseau, J.-P. Chambaret, and F. Salin, Appl. Phys. B Suppl. 70, 77–84 (2000).
    [CrossRef]
  12. A. Baltuska, M. S. Pshenichnikov, and D. A. Wiersma, IEEE J. Quantum Electron. 35, 459–478 (1999).
    [CrossRef]

2001

2000

C. Dorrer, B. de Beauvoir, C. Le Blanc, J.-P. Rousseau, S. Ranc, P. Rousseau, J.-P. Chambaret, and F. Salin, Appl. Phys. B Suppl. 70, 77–84 (2000).
[CrossRef]

L. Gallmann, D. H. Sutter, N. Matuschek, G. Steinmeyer, and U. Keller, Appl. Phys. B Suppl. 70, 67–75 (2000).
[CrossRef]

1999

A. Baltuska, M. S. Pshenichnikov, and D. A. Wiersma, IEEE J. Quantum Electron. 35, 459–478 (1999).
[CrossRef]

C. Dorrer, Opt. Lett. 24, 1532–1534 (1999).
[CrossRef]

T. M. Shuman, M. E. Anderson, J. Bromage, C. Iaconis, L. Waxer, and I. A. Walmsley, Opt. Express 5, 134–143 (1999); http://www.opticsexpress.org .
[CrossRef] [PubMed]

C. Iaconis and I. A. Walmsley, IEEE J. Quantum Electron. 35, 501–509 (1999).
[CrossRef]

1998

C. Iaconis and I. A. Walmsley, Opt. Lett. 23, 792–794 (1998).
[CrossRef]

C. Iaconis, V. Wong, and I. A. Walmsley, IEEE J. Sel. Top. Quantum Electron. 4, 285–294 (1998).
[CrossRef]

1997

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbügel, and B. A. Richman, Rev. Sci. Instrum. 68, 3277–3295 (1997).
[CrossRef]

1996

Anderson, M. E.

Baltuska, A.

A. Baltuska, M. S. Pshenichnikov, and D. A. Wiersma, IEEE J. Quantum Electron. 35, 459–478 (1999).
[CrossRef]

Bromage, J.

Chambaret, J.-P.

C. Dorrer, B. de Beauvoir, C. Le Blanc, J.-P. Rousseau, S. Ranc, P. Rousseau, J.-P. Chambaret, and F. Salin, Appl. Phys. B Suppl. 70, 77–84 (2000).
[CrossRef]

C. Dorrer, S. Ranc, J.-P. Rousseau, C. Le Blanc, and J.-P. Chambaret, in Conference on Lasers and Electro-Optics, 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), pp. 533–534.

de Beauvoir, B.

C. Dorrer, B. de Beauvoir, C. Le Blanc, J.-P. Rousseau, S. Ranc, P. Rousseau, J.-P. Chambaret, and F. Salin, Appl. Phys. B Suppl. 70, 77–84 (2000).
[CrossRef]

DeLong, K. W.

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbügel, and B. A. Richman, Rev. Sci. Instrum. 68, 3277–3295 (1997).
[CrossRef]

Dorrer, C.

C. Dorrer, B. de Beauvoir, C. Le Blanc, J.-P. Rousseau, S. Ranc, P. Rousseau, J.-P. Chambaret, and F. Salin, Appl. Phys. B Suppl. 70, 77–84 (2000).
[CrossRef]

C. Dorrer, Opt. Lett. 24, 1532–1534 (1999).
[CrossRef]

C. Dorrer, S. Ranc, J.-P. Rousseau, C. Le Blanc, and J.-P. Chambaret, in Conference on Lasers and Electro-Optics, 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), pp. 533–534.

Fittinghoff, D. N.

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbügel, and B. A. Richman, Rev. Sci. Instrum. 68, 3277–3295 (1997).
[CrossRef]

Gallmann, L.

L. Gallmann, G. Steinmeyer, D. H. Sutter, T. Rupp, C. Iaconis, I. A. Walmsley, and U. Keller, Opt. Lett. 26, 96–98 (2001).
[CrossRef]

L. Gallmann, D. H. Sutter, N. Matuschek, G. Steinmeyer, and U. Keller, Appl. Phys. B Suppl. 70, 67–75 (2000).
[CrossRef]

Iaconis, C.

Keller, U.

L. Gallmann, G. Steinmeyer, D. H. Sutter, T. Rupp, C. Iaconis, I. A. Walmsley, and U. Keller, Opt. Lett. 26, 96–98 (2001).
[CrossRef]

L. Gallmann, D. H. Sutter, N. Matuschek, G. Steinmeyer, and U. Keller, Appl. Phys. B Suppl. 70, 67–75 (2000).
[CrossRef]

Krumbügel, M. A.

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbügel, and B. A. Richman, Rev. Sci. Instrum. 68, 3277–3295 (1997).
[CrossRef]

Le Blanc, C.

C. Dorrer, B. de Beauvoir, C. Le Blanc, J.-P. Rousseau, S. Ranc, P. Rousseau, J.-P. Chambaret, and F. Salin, Appl. Phys. B Suppl. 70, 77–84 (2000).
[CrossRef]

C. Dorrer, S. Ranc, J.-P. Rousseau, C. Le Blanc, and J.-P. Chambaret, in Conference on Lasers and Electro-Optics, 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), pp. 533–534.

Matuschek, N.

L. Gallmann, D. H. Sutter, N. Matuschek, G. Steinmeyer, and U. Keller, Appl. Phys. B Suppl. 70, 67–75 (2000).
[CrossRef]

Pshenichnikov, M. S.

A. Baltuska, M. S. Pshenichnikov, and D. A. Wiersma, IEEE J. Quantum Electron. 35, 459–478 (1999).
[CrossRef]

Ranc, S.

C. Dorrer, B. de Beauvoir, C. Le Blanc, J.-P. Rousseau, S. Ranc, P. Rousseau, J.-P. Chambaret, and F. Salin, Appl. Phys. B Suppl. 70, 77–84 (2000).
[CrossRef]

C. Dorrer, S. Ranc, J.-P. Rousseau, C. Le Blanc, and J.-P. Chambaret, in Conference on Lasers and Electro-Optics, 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), pp. 533–534.

Richman, B. A.

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbügel, and B. A. Richman, Rev. Sci. Instrum. 68, 3277–3295 (1997).
[CrossRef]

Rousseau, J.-P.

C. Dorrer, B. de Beauvoir, C. Le Blanc, J.-P. Rousseau, S. Ranc, P. Rousseau, J.-P. Chambaret, and F. Salin, Appl. Phys. B Suppl. 70, 77–84 (2000).
[CrossRef]

C. Dorrer, S. Ranc, J.-P. Rousseau, C. Le Blanc, and J.-P. Chambaret, in Conference on Lasers and Electro-Optics, 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), pp. 533–534.

Rousseau, P.

C. Dorrer, B. de Beauvoir, C. Le Blanc, J.-P. Rousseau, S. Ranc, P. Rousseau, J.-P. Chambaret, and F. Salin, Appl. Phys. B Suppl. 70, 77–84 (2000).
[CrossRef]

Rupp, T.

Salin, F.

C. Dorrer, B. de Beauvoir, C. Le Blanc, J.-P. Rousseau, S. Ranc, P. Rousseau, J.-P. Chambaret, and F. Salin, Appl. Phys. B Suppl. 70, 77–84 (2000).
[CrossRef]

Shuman, T. M.

Steinmeyer, G.

L. Gallmann, G. Steinmeyer, D. H. Sutter, T. Rupp, C. Iaconis, I. A. Walmsley, and U. Keller, Opt. Lett. 26, 96–98 (2001).
[CrossRef]

L. Gallmann, D. H. Sutter, N. Matuschek, G. Steinmeyer, and U. Keller, Appl. Phys. B Suppl. 70, 67–75 (2000).
[CrossRef]

Sutter, D. H.

L. Gallmann, G. Steinmeyer, D. H. Sutter, T. Rupp, C. Iaconis, I. A. Walmsley, and U. Keller, Opt. Lett. 26, 96–98 (2001).
[CrossRef]

L. Gallmann, D. H. Sutter, N. Matuschek, G. Steinmeyer, and U. Keller, Appl. Phys. B Suppl. 70, 67–75 (2000).
[CrossRef]

Sweetser, J. N.

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbügel, and B. A. Richman, Rev. Sci. Instrum. 68, 3277–3295 (1997).
[CrossRef]

Trebino, R.

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbügel, and B. A. Richman, Rev. Sci. Instrum. 68, 3277–3295 (1997).
[CrossRef]

Walmsley, I. A.

Waxer, L.

Wiersma, D. A.

A. Baltuska, M. S. Pshenichnikov, and D. A. Wiersma, IEEE J. Quantum Electron. 35, 459–478 (1999).
[CrossRef]

Wong, V.

C. Iaconis, V. Wong, and I. A. Walmsley, IEEE J. Sel. Top. Quantum Electron. 4, 285–294 (1998).
[CrossRef]

I. A. Walmsley and V. Wong, J. Opt. Soc. Am. B 13, 2453–2463 (1996).
[CrossRef]

Appl. Phys. B Suppl.

L. Gallmann, D. H. Sutter, N. Matuschek, G. Steinmeyer, and U. Keller, Appl. Phys. B Suppl. 70, 67–75 (2000).
[CrossRef]

C. Dorrer, B. de Beauvoir, C. Le Blanc, J.-P. Rousseau, S. Ranc, P. Rousseau, J.-P. Chambaret, and F. Salin, Appl. Phys. B Suppl. 70, 77–84 (2000).
[CrossRef]

IEEE J. Quantum Electron.

A. Baltuska, M. S. Pshenichnikov, and D. A. Wiersma, IEEE J. Quantum Electron. 35, 459–478 (1999).
[CrossRef]

C. Iaconis and I. A. Walmsley, IEEE J. Quantum Electron. 35, 501–509 (1999).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron.

C. Iaconis, V. Wong, and I. A. Walmsley, IEEE J. Sel. Top. Quantum Electron. 4, 285–294 (1998).
[CrossRef]

J. Opt. Soc. Am. B

Opt. Express

Opt. Lett.

Rev. Sci. Instrum.

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbügel, and B. A. Richman, Rev. Sci. Instrum. 68, 3277–3295 (1997).
[CrossRef]

Other

C. Dorrer, S. Ranc, J.-P. Rousseau, C. Le Blanc, and J.-P. Chambaret, in Conference on Lasers and Electro-Optics, 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), pp. 533–534.

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Figures (4)

Fig. 1
Fig. 1

Mathematical model for the hardware setup. A thin line denotes real data; a thick line represents complex data.

Fig. 2
Fig. 2

Block diagram of the software implementation. A thin line denotes real data; a thick line represents complex data.

Fig. 3
Fig. 3

Spectral amplitude reconstructed with the extended SPIDER without correction curve Gω (dashed curve) amplitude and calculated from the spectral intensity, which was measured with a grating spectrometer (solid curve).

Fig. 4
Fig. 4

Top, reconstructed spectral phase and intensity; bottom, inverse Fourier transformation.

Equations (7)

Equations on this page are rendered with MathJax. Learn more.

Dω=Ejω2+Ejω-Ω2+2EjωEjω-Ωcosφω-φω-Ω+ωτ.
Ddcω=Ejω2+Ejω-Ω2,D+acjω=EjωEjω-Ω×exp+jφω-φω-Ω+ωτ.
φω¯Ω=1Ω-ωφω-φω-Ωdω=1Ωω-Ωωφωdω.
Ddcω+2D+acjω1/2=Ejω2+2EjωEjω-Ω+Ejω-Ω21/2=Ejω+Ejω-Ω.
Ejω+Ejω-Ω-Ejω-Ω+Ejω-2Ω=Ejω-Ejω-2Ω.
Ejω¯2Ω=12Ω-ωEjω-Ejω-2Ωdω=12Ωω-2ΩωEjωdω.
et=2 Re(F-1Ejω¯2Ωexpjφω¯Ωexpjω0t),

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