Abstract

We demonstrate broadband infrared pulse shaping by difference-frequency mixing of two visible phase-locked linearly chirped pulses in GaAs. Control of the temporal profile of the emitted field is achieved through this direct tailoring of the exciting visible intensity. The results are in agreement with a simulation with no adjustable parameter.

© 2001 Optical Society of America

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  1. S. Chelbowski, A. D. Bandrauk, and P. B. Corkum, Phys. Rev. Lett. 65, 2355 (1990).
    [CrossRef]
  2. A. M. Weiner, D. E. Leaird, J. S. Patel, and J. R. Wullert, IEEE J. Quantum Electro. 28, 908 (1992).
    [CrossRef]
  3. Ch. Dorrer, F. Salin, F. Verluise, and J.-P. Huignard, Opt. Lett. 23, 709 (1998).
    [CrossRef]
  4. F. Verluise, V. Laude, Z. Cheng, Ch. Spielmann, and P. Tournois, Opt. Lett. 25, 575 (2000).
    [CrossRef]
  5. A. S. Weling, B. B. Hu, N. M. Froberg, and D. H. Auston, Appl. Phys. Lett. 64, 137 (1994).
    [CrossRef]
  6. G. Veitas and R. Danielus, J. Opt. Soc. Am. B 16, 1561 (1999).
    [CrossRef]
  7. A. S. Weling and T. F. Heinz, J. Opt. Soc. Am. B 16, 1455 (1999).
    [CrossRef]
  8. Y. Liu, S. G. Park, and A. M. Weiner, Opt. Lett. 21, 1762 (1996).
    [CrossRef] [PubMed]
  9. F. Eickemeyer, R. A. Kaindl, M. Woerner, and A. M. Weiner, Opt. Lett. 25, 1472 (2000).
    [CrossRef]
  10. A. Bonvalet and M. Joffre, Femtosecond Laser Pulses (Springer-Verlag, Berlin, 1998), Chap.  X.
  11. A. Bonvalet, M. Joffre, J.-L. Martin, and A. Migus, Appl. Phys. Lett. 67, 2907 (1995).
    [CrossRef]
  12. For more-accurate shaping or increasing thickness and absorption of the nonlinear material, the iω term in Eq.  (1) should be replaced with the exact frequency dependence of the transfer function (measured experimetally or calculated with a theory including propagation effects).
  13. C. Iaconis and I. A. Walmsley, IEEE J. Quant. Electron. 35, 501 (1999).
    [CrossRef]
  14. C. Dorrer, N. Belabas, J.-P. Likforman, and M. Joffre, J. Opt. Soc. Am. B 17, 1795 (2000).
    [CrossRef]
  15. L. Canioni, M. Martin, B. Bousquet, and L. Sarger, Opt. Commun. 151, 241 (1998).
    [CrossRef]
  16. A. Bonvalet, J. Nagle, V. Berger, A. Migus, J.-L. Martin, and M. Joffre, Phys. Rev. Lett. 76, 4392 (1996).
    [CrossRef] [PubMed]

2000 (3)

1999 (3)

1998 (2)

Ch. Dorrer, F. Salin, F. Verluise, and J.-P. Huignard, Opt. Lett. 23, 709 (1998).
[CrossRef]

L. Canioni, M. Martin, B. Bousquet, and L. Sarger, Opt. Commun. 151, 241 (1998).
[CrossRef]

1996 (2)

A. Bonvalet, J. Nagle, V. Berger, A. Migus, J.-L. Martin, and M. Joffre, Phys. Rev. Lett. 76, 4392 (1996).
[CrossRef] [PubMed]

Y. Liu, S. G. Park, and A. M. Weiner, Opt. Lett. 21, 1762 (1996).
[CrossRef] [PubMed]

1995 (1)

A. Bonvalet, M. Joffre, J.-L. Martin, and A. Migus, Appl. Phys. Lett. 67, 2907 (1995).
[CrossRef]

1994 (1)

A. S. Weling, B. B. Hu, N. M. Froberg, and D. H. Auston, Appl. Phys. Lett. 64, 137 (1994).
[CrossRef]

1992 (1)

A. M. Weiner, D. E. Leaird, J. S. Patel, and J. R. Wullert, IEEE J. Quantum Electro. 28, 908 (1992).
[CrossRef]

1990 (1)

S. Chelbowski, A. D. Bandrauk, and P. B. Corkum, Phys. Rev. Lett. 65, 2355 (1990).
[CrossRef]

Auston, D. H.

A. S. Weling, B. B. Hu, N. M. Froberg, and D. H. Auston, Appl. Phys. Lett. 64, 137 (1994).
[CrossRef]

Bandrauk, A. D.

S. Chelbowski, A. D. Bandrauk, and P. B. Corkum, Phys. Rev. Lett. 65, 2355 (1990).
[CrossRef]

Belabas, N.

Berger, V.

A. Bonvalet, J. Nagle, V. Berger, A. Migus, J.-L. Martin, and M. Joffre, Phys. Rev. Lett. 76, 4392 (1996).
[CrossRef] [PubMed]

Bonvalet, A.

A. Bonvalet, J. Nagle, V. Berger, A. Migus, J.-L. Martin, and M. Joffre, Phys. Rev. Lett. 76, 4392 (1996).
[CrossRef] [PubMed]

A. Bonvalet, M. Joffre, J.-L. Martin, and A. Migus, Appl. Phys. Lett. 67, 2907 (1995).
[CrossRef]

A. Bonvalet and M. Joffre, Femtosecond Laser Pulses (Springer-Verlag, Berlin, 1998), Chap.  X.

Bousquet, B.

L. Canioni, M. Martin, B. Bousquet, and L. Sarger, Opt. Commun. 151, 241 (1998).
[CrossRef]

Canioni, L.

L. Canioni, M. Martin, B. Bousquet, and L. Sarger, Opt. Commun. 151, 241 (1998).
[CrossRef]

Chelbowski, S.

S. Chelbowski, A. D. Bandrauk, and P. B. Corkum, Phys. Rev. Lett. 65, 2355 (1990).
[CrossRef]

Cheng, Z.

Corkum, P. B.

S. Chelbowski, A. D. Bandrauk, and P. B. Corkum, Phys. Rev. Lett. 65, 2355 (1990).
[CrossRef]

Danielus, R.

Dorrer, C.

Dorrer, Ch.

Eickemeyer, F.

Froberg, N. M.

A. S. Weling, B. B. Hu, N. M. Froberg, and D. H. Auston, Appl. Phys. Lett. 64, 137 (1994).
[CrossRef]

Heinz, T. F.

Hu, B. B.

A. S. Weling, B. B. Hu, N. M. Froberg, and D. H. Auston, Appl. Phys. Lett. 64, 137 (1994).
[CrossRef]

Huignard, J.-P.

Iaconis, C.

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

Joffre, M.

C. Dorrer, N. Belabas, J.-P. Likforman, and M. Joffre, J. Opt. Soc. Am. B 17, 1795 (2000).
[CrossRef]

A. Bonvalet, J. Nagle, V. Berger, A. Migus, J.-L. Martin, and M. Joffre, Phys. Rev. Lett. 76, 4392 (1996).
[CrossRef] [PubMed]

A. Bonvalet, M. Joffre, J.-L. Martin, and A. Migus, Appl. Phys. Lett. 67, 2907 (1995).
[CrossRef]

A. Bonvalet and M. Joffre, Femtosecond Laser Pulses (Springer-Verlag, Berlin, 1998), Chap.  X.

Kaindl, R. A.

Laude, V.

Leaird, D. E.

A. M. Weiner, D. E. Leaird, J. S. Patel, and J. R. Wullert, IEEE J. Quantum Electro. 28, 908 (1992).
[CrossRef]

Likforman, J.-P.

Liu, Y.

Martin, J.-L.

A. Bonvalet, J. Nagle, V. Berger, A. Migus, J.-L. Martin, and M. Joffre, Phys. Rev. Lett. 76, 4392 (1996).
[CrossRef] [PubMed]

A. Bonvalet, M. Joffre, J.-L. Martin, and A. Migus, Appl. Phys. Lett. 67, 2907 (1995).
[CrossRef]

Martin, M.

L. Canioni, M. Martin, B. Bousquet, and L. Sarger, Opt. Commun. 151, 241 (1998).
[CrossRef]

Migus, A.

A. Bonvalet, J. Nagle, V. Berger, A. Migus, J.-L. Martin, and M. Joffre, Phys. Rev. Lett. 76, 4392 (1996).
[CrossRef] [PubMed]

A. Bonvalet, M. Joffre, J.-L. Martin, and A. Migus, Appl. Phys. Lett. 67, 2907 (1995).
[CrossRef]

Nagle, J.

A. Bonvalet, J. Nagle, V. Berger, A. Migus, J.-L. Martin, and M. Joffre, Phys. Rev. Lett. 76, 4392 (1996).
[CrossRef] [PubMed]

Park, S. G.

Patel, J. S.

A. M. Weiner, D. E. Leaird, J. S. Patel, and J. R. Wullert, IEEE J. Quantum Electro. 28, 908 (1992).
[CrossRef]

Salin, F.

Sarger, L.

L. Canioni, M. Martin, B. Bousquet, and L. Sarger, Opt. Commun. 151, 241 (1998).
[CrossRef]

Spielmann, Ch.

Tournois, P.

Veitas, G.

Verluise, F.

Walmsley, I. A.

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

Weiner, A. M.

Weling, A. S.

A. S. Weling and T. F. Heinz, J. Opt. Soc. Am. B 16, 1455 (1999).
[CrossRef]

A. S. Weling, B. B. Hu, N. M. Froberg, and D. H. Auston, Appl. Phys. Lett. 64, 137 (1994).
[CrossRef]

Woerner, M.

Wullert, J. R.

A. M. Weiner, D. E. Leaird, J. S. Patel, and J. R. Wullert, IEEE J. Quantum Electro. 28, 908 (1992).
[CrossRef]

Appl. Phys. Lett. (2)

A. S. Weling, B. B. Hu, N. M. Froberg, and D. H. Auston, Appl. Phys. Lett. 64, 137 (1994).
[CrossRef]

A. Bonvalet, M. Joffre, J.-L. Martin, and A. Migus, Appl. Phys. Lett. 67, 2907 (1995).
[CrossRef]

IEEE J. Quant. Electron. (1)

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

IEEE J. Quantum Electro. (1)

A. M. Weiner, D. E. Leaird, J. S. Patel, and J. R. Wullert, IEEE J. Quantum Electro. 28, 908 (1992).
[CrossRef]

J. Opt. Soc. Am. B (3)

Opt. Commun. (1)

L. Canioni, M. Martin, B. Bousquet, and L. Sarger, Opt. Commun. 151, 241 (1998).
[CrossRef]

Opt. Lett. (4)

Phys. Rev. Lett. (2)

A. Bonvalet, J. Nagle, V. Berger, A. Migus, J.-L. Martin, and M. Joffre, Phys. Rev. Lett. 76, 4392 (1996).
[CrossRef] [PubMed]

S. Chelbowski, A. D. Bandrauk, and P. B. Corkum, Phys. Rev. Lett. 65, 2355 (1990).
[CrossRef]

Other (2)

A. Bonvalet and M. Joffre, Femtosecond Laser Pulses (Springer-Verlag, Berlin, 1998), Chap.  X.

For more-accurate shaping or increasing thickness and absorption of the nonlinear material, the iω term in Eq.  (1) should be replaced with the exact frequency dependence of the transfer function (measured experimetally or calculated with a theory including propagation effects).

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Figures (3)

Fig. 1
Fig. 1

Experimental layout of pulse-shaped mid-infrared generation. The open rectangles are identical 100μm-thick 11¯0 GaAs sampled. DL’s delay lines; BS’s, beam splitters; PZT, piezoelectric transducer, C, chopper; F, focalizing optics; MCT, mercury cadmium telluride infrared detector; G, grating; S, slit; PD, photodiode; GPa, GPb glass piece at positions (a) and (b), respectively; Ti:Sa, Ti:sapphire oscillator.

Fig. 2
Fig. 2

Wigner functions of (a), (b) the experimental cross-correlation interferograms and (c), (d) the corresponding fast-oscillating term in the calculated visible intensity, Iexct. φ1=2φ2=9220 fs2 at (a), (c) τ=-1 ps and (b), (d) τ=+1. The discrepancies between experiment and theory (cutoff and broadening) result from the low-frequency cutoff of the detector.

Fig. 3
Fig. 3

Experimental and calculated (left) amplitude and (right) phase of the emitted mid-infrared pulse. The squares indicate the experimental points, and the curves are simulations derived from the calculated value of Iexct (see text). Top, φ1=φ2=4610 fs2 and τ=687 fs; middle, φ1=2φ2=9220 fs2 and τ=+1 ps; bottom, φ1=2φ2=9220 fs2 and τ=-1 ps. The additional dotted curve in the top-left-hand plot shows the field amplitude emitted by optical rectification of a single Fourier-limited visible pulse.

Equations (3)

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EIRωiω×FTIexct.
Iexct=E1t+E2t-τ2=E12+E2|2+E1*tE2t-τ+c.c..
1φIR=sgnτΔφ1φ1-1φ2.

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