Abstract

A new technique of “self-referenced spectral interferometry” is demonstrated based on a self-diffraction effect and applied to the measurement of femtosecond pulses. The reference pulse is the first-order self-diffraction pulse that is generated in a thin bulk medium by the self-diffraction process from the incident pulses. A proof-of-principle experiment succeeded in characterizing a 55fs pulse at 800nm and a sub-10fs pulse at 400nm. The system can be simultaneously used to measure ultrashort pulses by the self-diffraction based on frequency-resolved optical gating.

© 2011 Optical Society of America

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    [CrossRef]
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    [CrossRef]
  3. R. Trebino, P. Bowlan, P. Gabolde, X. Gu, S. Akturk, and M. Kimmel, “Simple devices for measuring complex ultrashort pulses,” Laser Photon. Rev. 3, 314–342 (2009).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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2010

2009

I. A. Walmsley and C. Dorrer, “Characterization of ultrashort electromagnetic pulses,” Adv. Opt. Photon. 1, 308–437 (2009).
[CrossRef]

R. Trebino, P. Bowlan, P. Gabolde, X. Gu, S. Akturk, and M. Kimmel, “Simple devices for measuring complex ultrashort pulses,” Laser Photon. Rev. 3, 314–342 (2009).
[CrossRef]

2008

2007

A. Jullien, L. Canova, O. Albert, D. Boschetto, L. Antonucci, Y. H. Cha, J. P. Rousseau, P. Chaudet, G. Cheriaux, J. Etchepare, S. Kourtev, N. Minkovski, and S. M. Saltiel, “Spectral broadening and pulse duration reduction during cross-polarized wave generation: influence of the quadratic spectral phase,” Appl. Phys. B 87, 595–601 (2007).
[CrossRef]

2005

2001

C. Dorrer and M. Joffre, “Characterization of the spectral phase of ultrashort light pulses,” C. R. Acad. Sci. Ser. IV Phys. Astrophys. 2, 1415–1426 (2001).

1998

1997

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbugel, B. A. Richman, and D. J. Kane, “Measuring ultrashort laser pulses in the time-frequency domain using frequency-resolved optical gating,” Rev. Sci. Instrum. 68, 3277–3295 (1997).
[CrossRef]

1995

Akturk, S.

R. Trebino, P. Bowlan, P. Gabolde, X. Gu, S. Akturk, and M. Kimmel, “Simple devices for measuring complex ultrashort pulses,” Laser Photon. Rev. 3, 314–342 (2009).
[CrossRef]

Albert, O.

A. Jullien, L. Canova, O. Albert, D. Boschetto, L. Antonucci, Y. H. Cha, J. P. Rousseau, P. Chaudet, G. Cheriaux, J. Etchepare, S. Kourtev, N. Minkovski, and S. M. Saltiel, “Spectral broadening and pulse duration reduction during cross-polarized wave generation: influence of the quadratic spectral phase,” Appl. Phys. B 87, 595–601 (2007).
[CrossRef]

Antonucci, L.

A. Jullien, L. Canova, O. Albert, D. Boschetto, L. Antonucci, Y. H. Cha, J. P. Rousseau, P. Chaudet, G. Cheriaux, J. Etchepare, S. Kourtev, N. Minkovski, and S. M. Saltiel, “Spectral broadening and pulse duration reduction during cross-polarized wave generation: influence of the quadratic spectral phase,” Appl. Phys. B 87, 595–601 (2007).
[CrossRef]

Baum, P.

Boschetto, D.

A. Jullien, L. Canova, O. Albert, D. Boschetto, L. Antonucci, Y. H. Cha, J. P. Rousseau, P. Chaudet, G. Cheriaux, J. Etchepare, S. Kourtev, N. Minkovski, and S. M. Saltiel, “Spectral broadening and pulse duration reduction during cross-polarized wave generation: influence of the quadratic spectral phase,” Appl. Phys. B 87, 595–601 (2007).
[CrossRef]

Bowlan, P.

R. Trebino, P. Bowlan, P. Gabolde, X. Gu, S. Akturk, and M. Kimmel, “Simple devices for measuring complex ultrashort pulses,” Laser Photon. Rev. 3, 314–342 (2009).
[CrossRef]

Canova, L.

A. Jullien, L. Canova, O. Albert, D. Boschetto, L. Antonucci, Y. H. Cha, J. P. Rousseau, P. Chaudet, G. Cheriaux, J. Etchepare, S. Kourtev, N. Minkovski, and S. M. Saltiel, “Spectral broadening and pulse duration reduction during cross-polarized wave generation: influence of the quadratic spectral phase,” Appl. Phys. B 87, 595–601 (2007).
[CrossRef]

Cha, Y. H.

A. Jullien, L. Canova, O. Albert, D. Boschetto, L. Antonucci, Y. H. Cha, J. P. Rousseau, P. Chaudet, G. Cheriaux, J. Etchepare, S. Kourtev, N. Minkovski, and S. M. Saltiel, “Spectral broadening and pulse duration reduction during cross-polarized wave generation: influence of the quadratic spectral phase,” Appl. Phys. B 87, 595–601 (2007).
[CrossRef]

Chaudet, P.

A. Jullien, L. Canova, O. Albert, D. Boschetto, L. Antonucci, Y. H. Cha, J. P. Rousseau, P. Chaudet, G. Cheriaux, J. Etchepare, S. Kourtev, N. Minkovski, and S. M. Saltiel, “Spectral broadening and pulse duration reduction during cross-polarized wave generation: influence of the quadratic spectral phase,” Appl. Phys. B 87, 595–601 (2007).
[CrossRef]

Cheriaux, G.

A. Jullien, L. Canova, O. Albert, D. Boschetto, L. Antonucci, Y. H. Cha, J. P. Rousseau, P. Chaudet, G. Cheriaux, J. Etchepare, S. Kourtev, N. Minkovski, and S. M. Saltiel, “Spectral broadening and pulse duration reduction during cross-polarized wave generation: influence of the quadratic spectral phase,” Appl. Phys. B 87, 595–601 (2007).
[CrossRef]

Chériaux, G.

Cornaggia, C.

Coudreau, S.

T. Oksenhendler, S. Coudreau, N. Forget, V. Crozatier, S. Grabielle, R. Herzog, O. Gobert, and D. Kaplan, “Self-referenced spectral interferometry,” Appl. Phys. B 99, 7–12 (2010).
[CrossRef]

Crozatier, V.

T. Oksenhendler, S. Coudreau, N. Forget, V. Crozatier, S. Grabielle, R. Herzog, O. Gobert, and D. Kaplan, “Self-referenced spectral interferometry,” Appl. Phys. B 99, 7–12 (2010).
[CrossRef]

DeLong, K. W.

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbugel, B. A. Richman, and D. J. Kane, “Measuring ultrashort laser pulses in the time-frequency domain using frequency-resolved optical gating,” Rev. Sci. Instrum. 68, 3277–3295 (1997).
[CrossRef]

Dorrer, C.

Etchepare, J.

A. Jullien, L. Canova, O. Albert, D. Boschetto, L. Antonucci, Y. H. Cha, J. P. Rousseau, P. Chaudet, G. Cheriaux, J. Etchepare, S. Kourtev, N. Minkovski, and S. M. Saltiel, “Spectral broadening and pulse duration reduction during cross-polarized wave generation: influence of the quadratic spectral phase,” Appl. Phys. B 87, 595–601 (2007).
[CrossRef]

Fittinghoff, D. N.

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbugel, B. A. Richman, and D. J. Kane, “Measuring ultrashort laser pulses in the time-frequency domain using frequency-resolved optical gating,” Rev. Sci. Instrum. 68, 3277–3295 (1997).
[CrossRef]

Forget, N.

T. Oksenhendler, S. Coudreau, N. Forget, V. Crozatier, S. Grabielle, R. Herzog, O. Gobert, and D. Kaplan, “Self-referenced spectral interferometry,” Appl. Phys. B 99, 7–12 (2010).
[CrossRef]

A. Moulet, S. Grabielle, C. Cornaggia, N. Forget, and T. Oksenhendler, “Single-shot, high-dynamic-range measurement of sub-15 fs pulses by self-referenced spectral interferometry,” Opt. Lett. 35, 3856–3858 (2010).
[CrossRef] [PubMed]

Gabolde, P.

R. Trebino, P. Bowlan, P. Gabolde, X. Gu, S. Akturk, and M. Kimmel, “Simple devices for measuring complex ultrashort pulses,” Laser Photon. Rev. 3, 314–342 (2009).
[CrossRef]

Gobert, O.

T. Oksenhendler, S. Coudreau, N. Forget, V. Crozatier, S. Grabielle, R. Herzog, O. Gobert, and D. Kaplan, “Self-referenced spectral interferometry,” Appl. Phys. B 99, 7–12 (2010).
[CrossRef]

Grabielle, S.

T. Oksenhendler, S. Coudreau, N. Forget, V. Crozatier, S. Grabielle, R. Herzog, O. Gobert, and D. Kaplan, “Self-referenced spectral interferometry,” Appl. Phys. B 99, 7–12 (2010).
[CrossRef]

A. Moulet, S. Grabielle, C. Cornaggia, N. Forget, and T. Oksenhendler, “Single-shot, high-dynamic-range measurement of sub-15 fs pulses by self-referenced spectral interferometry,” Opt. Lett. 35, 3856–3858 (2010).
[CrossRef] [PubMed]

Gu, X.

R. Trebino, P. Bowlan, P. Gabolde, X. Gu, S. Akturk, and M. Kimmel, “Simple devices for measuring complex ultrashort pulses,” Laser Photon. Rev. 3, 314–342 (2009).
[CrossRef]

Herzog, R.

T. Oksenhendler, S. Coudreau, N. Forget, V. Crozatier, S. Grabielle, R. Herzog, O. Gobert, and D. Kaplan, “Self-referenced spectral interferometry,” Appl. Phys. B 99, 7–12 (2010).
[CrossRef]

Iaconis, C.

Joffre, M.

C. Dorrer and M. Joffre, “Characterization of the spectral phase of ultrashort light pulses,” C. R. Acad. Sci. Ser. IV Phys. Astrophys. 2, 1415–1426 (2001).

L. Lepetit, G. Chériaux, and M. Joffre, “Linear techniques of phase measurement by femtosecond spectral interferometry for applications in spectroscopy,” J. Opt. Soc. Am. B 12, 2467–2474 (1995).
[CrossRef]

Jullien, A.

A. Jullien, L. Canova, O. Albert, D. Boschetto, L. Antonucci, Y. H. Cha, J. P. Rousseau, P. Chaudet, G. Cheriaux, J. Etchepare, S. Kourtev, N. Minkovski, and S. M. Saltiel, “Spectral broadening and pulse duration reduction during cross-polarized wave generation: influence of the quadratic spectral phase,” Appl. Phys. B 87, 595–601 (2007).
[CrossRef]

Kane, D. J.

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbugel, B. A. Richman, and D. J. Kane, “Measuring ultrashort laser pulses in the time-frequency domain using frequency-resolved optical gating,” Rev. Sci. Instrum. 68, 3277–3295 (1997).
[CrossRef]

Kang, I.

Kaplan, D.

T. Oksenhendler, S. Coudreau, N. Forget, V. Crozatier, S. Grabielle, R. Herzog, O. Gobert, and D. Kaplan, “Self-referenced spectral interferometry,” Appl. Phys. B 99, 7–12 (2010).
[CrossRef]

Kida, Y.

Kimmel, M.

R. Trebino, P. Bowlan, P. Gabolde, X. Gu, S. Akturk, and M. Kimmel, “Simple devices for measuring complex ultrashort pulses,” Laser Photon. Rev. 3, 314–342 (2009).
[CrossRef]

Kobayashi, T.

Kourtev, S.

A. Jullien, L. Canova, O. Albert, D. Boschetto, L. Antonucci, Y. H. Cha, J. P. Rousseau, P. Chaudet, G. Cheriaux, J. Etchepare, S. Kourtev, N. Minkovski, and S. M. Saltiel, “Spectral broadening and pulse duration reduction during cross-polarized wave generation: influence of the quadratic spectral phase,” Appl. Phys. B 87, 595–601 (2007).
[CrossRef]

Krumbugel, M. A.

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbugel, B. A. Richman, and D. J. Kane, “Measuring ultrashort laser pulses in the time-frequency domain using frequency-resolved optical gating,” Rev. Sci. Instrum. 68, 3277–3295 (1997).
[CrossRef]

Lepetit, L.

Liu, J.

Minkovski, N.

A. Jullien, L. Canova, O. Albert, D. Boschetto, L. Antonucci, Y. H. Cha, J. P. Rousseau, P. Chaudet, G. Cheriaux, J. Etchepare, S. Kourtev, N. Minkovski, and S. M. Saltiel, “Spectral broadening and pulse duration reduction during cross-polarized wave generation: influence of the quadratic spectral phase,” Appl. Phys. B 87, 595–601 (2007).
[CrossRef]

Moulet, A.

Okamura, K.

Oksenhendler, T.

A. Moulet, S. Grabielle, C. Cornaggia, N. Forget, and T. Oksenhendler, “Single-shot, high-dynamic-range measurement of sub-15 fs pulses by self-referenced spectral interferometry,” Opt. Lett. 35, 3856–3858 (2010).
[CrossRef] [PubMed]

T. Oksenhendler, S. Coudreau, N. Forget, V. Crozatier, S. Grabielle, R. Herzog, O. Gobert, and D. Kaplan, “Self-referenced spectral interferometry,” Appl. Phys. B 99, 7–12 (2010).
[CrossRef]

Richman, B. A.

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbugel, B. A. Richman, and D. J. Kane, “Measuring ultrashort laser pulses in the time-frequency domain using frequency-resolved optical gating,” Rev. Sci. Instrum. 68, 3277–3295 (1997).
[CrossRef]

Riedle, E.

Rousseau, J. P.

A. Jullien, L. Canova, O. Albert, D. Boschetto, L. Antonucci, Y. H. Cha, J. P. Rousseau, P. Chaudet, G. Cheriaux, J. Etchepare, S. Kourtev, N. Minkovski, and S. M. Saltiel, “Spectral broadening and pulse duration reduction during cross-polarized wave generation: influence of the quadratic spectral phase,” Appl. Phys. B 87, 595–601 (2007).
[CrossRef]

Saltiel, S. M.

A. Jullien, L. Canova, O. Albert, D. Boschetto, L. Antonucci, Y. H. Cha, J. P. Rousseau, P. Chaudet, G. Cheriaux, J. Etchepare, S. Kourtev, N. Minkovski, and S. M. Saltiel, “Spectral broadening and pulse duration reduction during cross-polarized wave generation: influence of the quadratic spectral phase,” Appl. Phys. B 87, 595–601 (2007).
[CrossRef]

Sweetser, J. N.

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbugel, B. A. Richman, and D. J. Kane, “Measuring ultrashort laser pulses in the time-frequency domain using frequency-resolved optical gating,” Rev. Sci. Instrum. 68, 3277–3295 (1997).
[CrossRef]

Teramoto, T.

Trebino, R.

R. Trebino, P. Bowlan, P. Gabolde, X. Gu, S. Akturk, and M. Kimmel, “Simple devices for measuring complex ultrashort pulses,” Laser Photon. Rev. 3, 314–342 (2009).
[CrossRef]

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbugel, B. A. Richman, and D. J. Kane, “Measuring ultrashort laser pulses in the time-frequency domain using frequency-resolved optical gating,” Rev. Sci. Instrum. 68, 3277–3295 (1997).
[CrossRef]

Walmsley, I. A.

Adv. Opt. Photon.

Appl. Phys. B

T. Oksenhendler, S. Coudreau, N. Forget, V. Crozatier, S. Grabielle, R. Herzog, O. Gobert, and D. Kaplan, “Self-referenced spectral interferometry,” Appl. Phys. B 99, 7–12 (2010).
[CrossRef]

A. Jullien, L. Canova, O. Albert, D. Boschetto, L. Antonucci, Y. H. Cha, J. P. Rousseau, P. Chaudet, G. Cheriaux, J. Etchepare, S. Kourtev, N. Minkovski, and S. M. Saltiel, “Spectral broadening and pulse duration reduction during cross-polarized wave generation: influence of the quadratic spectral phase,” Appl. Phys. B 87, 595–601 (2007).
[CrossRef]

C. R. Acad. Sci. Ser. IV Phys. Astrophys.

C. Dorrer and M. Joffre, “Characterization of the spectral phase of ultrashort light pulses,” C. R. Acad. Sci. Ser. IV Phys. Astrophys. 2, 1415–1426 (2001).

J. Opt. Soc. Am. B

Laser Photon. Rev.

R. Trebino, P. Bowlan, P. Gabolde, X. Gu, S. Akturk, and M. Kimmel, “Simple devices for measuring complex ultrashort pulses,” Laser Photon. Rev. 3, 314–342 (2009).
[CrossRef]

Opt. Express

Opt. Lett.

Rev. Sci. Instrum.

R. Trebino, K. W. DeLong, D. N. Fittinghoff, J. N. Sweetser, M. A. Krumbugel, B. A. Richman, and D. J. Kane, “Measuring ultrashort laser pulses in the time-frequency domain using frequency-resolved optical gating,” Rev. Sci. Instrum. 68, 3277–3295 (1997).
[CrossRef]

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Figures (6)

Fig. 1
Fig. 1

Experimental setup of SRSI for pulse at 800 nm . VND, variable-neutral density filter; BS1, BS2, BS3, 50 / 50 1 mm thick beam splitters; SM1, spherical mirror with a radius of curvature R = 700 mm ; FS, 0.1 mm thick fused silica glass plate; ND, neutral density filter; SM2, spherical mirror with a radius of curvature R = 1000 mm ; EPP-2000-HR, high-resolution spectrometer ( 0.15 nm resolution).

Fig. 2
Fig. 2

Experimental setup of SRSI for pulse at 400 nm . BS1, BS2, BS3, 50 / 50 0.5 mm thick beam splitters; SM, spherical mirror with a radius of curvature R = 300 mm ; CaF2, 0.1 mm thick CaF 2 plate; USB4000, spectrometer ( 1.5 nm resolution).

Fig. 3
Fig. 3

Two-dimensional phase-mismatch pattern plotted against the crossing angle and the probe wavelength when the pump wavelength is fixed at 800 nm (top) or 400 nm (bottom). The black solid curve corresponds to zero phase mismatch.

Fig. 4
Fig. 4

Procedure for the calculation of the spectral phase, the temporal phase, the temporal shape and the spectrum of the reference pulse, and the pulse to be measured. FT Transform, Fourier transform. FT 1 Transform, inverse Fourier transform.

Fig. 5
Fig. 5

(a) Spectra of the incident pulse (red dotted curve), the SD1 signal (blue thick solid curve), and the interference between them (black thin solid curve) measured by the high-resolution spectrometer. (b) Two-dimensional SD-FROG trace of the incident pulse with time scanning range from 512 to 512 fs (not fully shown here). (c) The retrieved spectrum (blue thick solid curve) and spectral phase (blue dash-dotted curve) using SD-SRSI. The thin black solid curve and black dash-dotted curve show the retrieved spectrum and spectral phase by SD-FROG, respectively. The red dotted curve shows the spectrum of the incident pulse measured by the spectrometer. (d) The retrieved temporal intensity profile by the spectral intensity and spectral phase in (c) (SD-FROG, red solid curve) and (SD-SRSI, black dotted curve), respectively.

Fig. 6
Fig. 6

(a) The spectra of the compressed pulse at 400 nm (red dotted curve), the SD1 signal (blue thick solid curve), and the interference between them (black thin solid curve) measured by the USB4000 spectrometer. (b) The retrieved spectrum (black solid curve) and spectral phase (blue dash-dotted curve) using SD-SRSI. (c) The two-dimensional SD-FROG trace of the compressed pulse at 400 nm with time scanning range from 64 to 64 fs (not fully shown here). (d) The black solid curve and blue dotted curve show the retrieved spectrum and spectral phase, respectively by the SD-FROG.

Equations (4)

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

D ( ω , τ ) = | E ref ( ω ) + E ( ω ) e i ω τ | 2 = | E ref ( ω ) | 2 + | E ( ω ) | 2 + f ( ω ) e i ω τ + f * ( ω ) e i ω τ ,
| E ref ( ω ) | = 1 2 ( ( S 0 ( ω ) + 2 | f ( ω ) | ) + ( S 0 ( ω ) 2 | f ( ω ) | ) ) ,
| E ( ω ) | = 1 2 ( ( S 0 ( ω ) + 2 | f ( ω ) | ) ( S 0 ( ω ) 2 | f ( ω ) | ) ) ,
φ ( ω ) = φ ref ( ω ) + arg f ( ω ) + C ,

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