Abstract

We investigate the reflection near the reststrahlen band of the optical phonon in bulk GaAs in the time domain, using time-resolved terahertz spectroscopy. We find that the dynamics of the reflection measured for GaAs differs strongly from the reflection dynamics that would be expected for a TO phonon with a frequency-independent dephasing time.

© 2000 Optical Society of America

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  1. M. van Exter, Ch. Fattinger, and D. Grischkowsky, Opt. Lett. 14, 1128 (1989).
    [CrossRef]
  2. H. Harde, S. Keiding, and D. Grischkowsky, Phys. Rev. Lett. 66, 1834 (1991).
    [CrossRef] [PubMed]
  3. C. Rønne, P. O. Åstrand, and S. R. Keiding, Phys. Rev. Lett. 82, 2888 (1999).
    [CrossRef]
  4. D. Grischkowsky, S. Keiding, M. van Exter, and Ch. Fattinger, J. Opt. Soc. Am. B 7, 2006 (1990); D. M. Mittleman, J. Cunningham, M. C. Nuss, and M. Geva, Appl. Phys. Lett. 71, 16 (1997).
    [CrossRef]
  5. B. B. Hu, E. A. de Souza, W. H. Knox, J. E. Cunningham, M. C. Nuss, A. V. Kuznetsov, and S. L. Chuang, Phys. Rev. Lett. 74, 1689 (1995); A. Leitenstorfer, S. Hunsche, J. Shah, M. C. Nuss, and W. H. Knox, Phys. Rev. Lett. 82, 5140 (1999)..
    [CrossRef] [PubMed]
  6. A. B. Ruffin, J. F. Whitaker, S. Feng, H. G. Winful, and J. V. Rudd, in Conference on Lasers and Electro-Optics, OSA Technical Digest (Optical Society of America, Washington, D.C., 1999), p. 398.
  7. R. A. Cheville, R. W. McGowan, and D. Grischkowsky, Phys. Rev. Lett. 80, 269 (1998).
    [CrossRef]
  8. Q. Wu and X.-C. Zhang, Appl. Phys. Lett. 68, 1604 (1996); A. Nahata, A. S. Weling, and T. F. Heinz, Appl. Phys. Lett. 69, 2321 (1996); P. U. Jepsen, C. Winnewisser, M. Schall, V. Schyja, S. R. Keiding, and H. Helm, Phys. Rev. E 53, R3053 (1996).
    [CrossRef]
  9. F. Ganikhanov and F. Vallée, Phys. Rev. B 15, 15614 (1997).
    [CrossRef]
  10. M. Haas, in Semiconductors and Semimetals (Academic, New York, 1967), p. 3.
    [CrossRef]
  11. A. S. Barker, Phys. Rev. 165, 917 (1968); S. Ushioda, J. D. McMuller, and M. J. Delaney, Phys. Rev. B 8, 4634 (1973).
    [CrossRef]

1999 (1)

C. Rønne, P. O. Åstrand, and S. R. Keiding, Phys. Rev. Lett. 82, 2888 (1999).
[CrossRef]

1998 (1)

R. A. Cheville, R. W. McGowan, and D. Grischkowsky, Phys. Rev. Lett. 80, 269 (1998).
[CrossRef]

1997 (1)

F. Ganikhanov and F. Vallée, Phys. Rev. B 15, 15614 (1997).
[CrossRef]

1996 (1)

Q. Wu and X.-C. Zhang, Appl. Phys. Lett. 68, 1604 (1996); A. Nahata, A. S. Weling, and T. F. Heinz, Appl. Phys. Lett. 69, 2321 (1996); P. U. Jepsen, C. Winnewisser, M. Schall, V. Schyja, S. R. Keiding, and H. Helm, Phys. Rev. E 53, R3053 (1996).
[CrossRef]

1995 (1)

B. B. Hu, E. A. de Souza, W. H. Knox, J. E. Cunningham, M. C. Nuss, A. V. Kuznetsov, and S. L. Chuang, Phys. Rev. Lett. 74, 1689 (1995); A. Leitenstorfer, S. Hunsche, J. Shah, M. C. Nuss, and W. H. Knox, Phys. Rev. Lett. 82, 5140 (1999)..
[CrossRef] [PubMed]

1991 (1)

H. Harde, S. Keiding, and D. Grischkowsky, Phys. Rev. Lett. 66, 1834 (1991).
[CrossRef] [PubMed]

1990 (1)

1989 (1)

1968 (1)

A. S. Barker, Phys. Rev. 165, 917 (1968); S. Ushioda, J. D. McMuller, and M. J. Delaney, Phys. Rev. B 8, 4634 (1973).
[CrossRef]

Åstrand, P. O.

C. Rønne, P. O. Åstrand, and S. R. Keiding, Phys. Rev. Lett. 82, 2888 (1999).
[CrossRef]

Barker, A. S.

A. S. Barker, Phys. Rev. 165, 917 (1968); S. Ushioda, J. D. McMuller, and M. J. Delaney, Phys. Rev. B 8, 4634 (1973).
[CrossRef]

Cheville, R. A.

R. A. Cheville, R. W. McGowan, and D. Grischkowsky, Phys. Rev. Lett. 80, 269 (1998).
[CrossRef]

Chuang, S. L.

B. B. Hu, E. A. de Souza, W. H. Knox, J. E. Cunningham, M. C. Nuss, A. V. Kuznetsov, and S. L. Chuang, Phys. Rev. Lett. 74, 1689 (1995); A. Leitenstorfer, S. Hunsche, J. Shah, M. C. Nuss, and W. H. Knox, Phys. Rev. Lett. 82, 5140 (1999)..
[CrossRef] [PubMed]

Cunningham, J. E.

B. B. Hu, E. A. de Souza, W. H. Knox, J. E. Cunningham, M. C. Nuss, A. V. Kuznetsov, and S. L. Chuang, Phys. Rev. Lett. 74, 1689 (1995); A. Leitenstorfer, S. Hunsche, J. Shah, M. C. Nuss, and W. H. Knox, Phys. Rev. Lett. 82, 5140 (1999)..
[CrossRef] [PubMed]

de Souza, E. A.

B. B. Hu, E. A. de Souza, W. H. Knox, J. E. Cunningham, M. C. Nuss, A. V. Kuznetsov, and S. L. Chuang, Phys. Rev. Lett. 74, 1689 (1995); A. Leitenstorfer, S. Hunsche, J. Shah, M. C. Nuss, and W. H. Knox, Phys. Rev. Lett. 82, 5140 (1999)..
[CrossRef] [PubMed]

Fattinger, Ch.

Feng, S.

A. B. Ruffin, J. F. Whitaker, S. Feng, H. G. Winful, and J. V. Rudd, in Conference on Lasers and Electro-Optics, OSA Technical Digest (Optical Society of America, Washington, D.C., 1999), p. 398.

Ganikhanov, F.

F. Ganikhanov and F. Vallée, Phys. Rev. B 15, 15614 (1997).
[CrossRef]

Grischkowsky, D.

Haas, M.

M. Haas, in Semiconductors and Semimetals (Academic, New York, 1967), p. 3.
[CrossRef]

Harde, H.

H. Harde, S. Keiding, and D. Grischkowsky, Phys. Rev. Lett. 66, 1834 (1991).
[CrossRef] [PubMed]

Hu, B. B.

B. B. Hu, E. A. de Souza, W. H. Knox, J. E. Cunningham, M. C. Nuss, A. V. Kuznetsov, and S. L. Chuang, Phys. Rev. Lett. 74, 1689 (1995); A. Leitenstorfer, S. Hunsche, J. Shah, M. C. Nuss, and W. H. Knox, Phys. Rev. Lett. 82, 5140 (1999)..
[CrossRef] [PubMed]

Keiding, S.

Keiding, S. R.

C. Rønne, P. O. Åstrand, and S. R. Keiding, Phys. Rev. Lett. 82, 2888 (1999).
[CrossRef]

Knox, W. H.

B. B. Hu, E. A. de Souza, W. H. Knox, J. E. Cunningham, M. C. Nuss, A. V. Kuznetsov, and S. L. Chuang, Phys. Rev. Lett. 74, 1689 (1995); A. Leitenstorfer, S. Hunsche, J. Shah, M. C. Nuss, and W. H. Knox, Phys. Rev. Lett. 82, 5140 (1999)..
[CrossRef] [PubMed]

Kuznetsov, A. V.

B. B. Hu, E. A. de Souza, W. H. Knox, J. E. Cunningham, M. C. Nuss, A. V. Kuznetsov, and S. L. Chuang, Phys. Rev. Lett. 74, 1689 (1995); A. Leitenstorfer, S. Hunsche, J. Shah, M. C. Nuss, and W. H. Knox, Phys. Rev. Lett. 82, 5140 (1999)..
[CrossRef] [PubMed]

McGowan, R. W.

R. A. Cheville, R. W. McGowan, and D. Grischkowsky, Phys. Rev. Lett. 80, 269 (1998).
[CrossRef]

Nuss, M. C.

B. B. Hu, E. A. de Souza, W. H. Knox, J. E. Cunningham, M. C. Nuss, A. V. Kuznetsov, and S. L. Chuang, Phys. Rev. Lett. 74, 1689 (1995); A. Leitenstorfer, S. Hunsche, J. Shah, M. C. Nuss, and W. H. Knox, Phys. Rev. Lett. 82, 5140 (1999)..
[CrossRef] [PubMed]

Rønne, C.

C. Rønne, P. O. Åstrand, and S. R. Keiding, Phys. Rev. Lett. 82, 2888 (1999).
[CrossRef]

Rudd, J. V.

A. B. Ruffin, J. F. Whitaker, S. Feng, H. G. Winful, and J. V. Rudd, in Conference on Lasers and Electro-Optics, OSA Technical Digest (Optical Society of America, Washington, D.C., 1999), p. 398.

Ruffin, A. B.

A. B. Ruffin, J. F. Whitaker, S. Feng, H. G. Winful, and J. V. Rudd, in Conference on Lasers and Electro-Optics, OSA Technical Digest (Optical Society of America, Washington, D.C., 1999), p. 398.

Vallée, F.

F. Ganikhanov and F. Vallée, Phys. Rev. B 15, 15614 (1997).
[CrossRef]

van Exter, M.

Whitaker, J. F.

A. B. Ruffin, J. F. Whitaker, S. Feng, H. G. Winful, and J. V. Rudd, in Conference on Lasers and Electro-Optics, OSA Technical Digest (Optical Society of America, Washington, D.C., 1999), p. 398.

Winful, H. G.

A. B. Ruffin, J. F. Whitaker, S. Feng, H. G. Winful, and J. V. Rudd, in Conference on Lasers and Electro-Optics, OSA Technical Digest (Optical Society of America, Washington, D.C., 1999), p. 398.

Wu, Q.

Q. Wu and X.-C. Zhang, Appl. Phys. Lett. 68, 1604 (1996); A. Nahata, A. S. Weling, and T. F. Heinz, Appl. Phys. Lett. 69, 2321 (1996); P. U. Jepsen, C. Winnewisser, M. Schall, V. Schyja, S. R. Keiding, and H. Helm, Phys. Rev. E 53, R3053 (1996).
[CrossRef]

Zhang, X.-C.

Q. Wu and X.-C. Zhang, Appl. Phys. Lett. 68, 1604 (1996); A. Nahata, A. S. Weling, and T. F. Heinz, Appl. Phys. Lett. 69, 2321 (1996); P. U. Jepsen, C. Winnewisser, M. Schall, V. Schyja, S. R. Keiding, and H. Helm, Phys. Rev. E 53, R3053 (1996).
[CrossRef]

Appl. Phys. Lett. (1)

Q. Wu and X.-C. Zhang, Appl. Phys. Lett. 68, 1604 (1996); A. Nahata, A. S. Weling, and T. F. Heinz, Appl. Phys. Lett. 69, 2321 (1996); P. U. Jepsen, C. Winnewisser, M. Schall, V. Schyja, S. R. Keiding, and H. Helm, Phys. Rev. E 53, R3053 (1996).
[CrossRef]

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

Opt. Lett. (1)

Phys. Rev. (1)

A. S. Barker, Phys. Rev. 165, 917 (1968); S. Ushioda, J. D. McMuller, and M. J. Delaney, Phys. Rev. B 8, 4634 (1973).
[CrossRef]

Phys. Rev. B (1)

F. Ganikhanov and F. Vallée, Phys. Rev. B 15, 15614 (1997).
[CrossRef]

Phys. Rev. Lett. (4)

R. A. Cheville, R. W. McGowan, and D. Grischkowsky, Phys. Rev. Lett. 80, 269 (1998).
[CrossRef]

H. Harde, S. Keiding, and D. Grischkowsky, Phys. Rev. Lett. 66, 1834 (1991).
[CrossRef] [PubMed]

C. Rønne, P. O. Åstrand, and S. R. Keiding, Phys. Rev. Lett. 82, 2888 (1999).
[CrossRef]

B. B. Hu, E. A. de Souza, W. H. Knox, J. E. Cunningham, M. C. Nuss, A. V. Kuznetsov, and S. L. Chuang, Phys. Rev. Lett. 74, 1689 (1995); A. Leitenstorfer, S. Hunsche, J. Shah, M. C. Nuss, and W. H. Knox, Phys. Rev. Lett. 82, 5140 (1999)..
[CrossRef] [PubMed]

Other (2)

A. B. Ruffin, J. F. Whitaker, S. Feng, H. G. Winful, and J. V. Rudd, in Conference on Lasers and Electro-Optics, OSA Technical Digest (Optical Society of America, Washington, D.C., 1999), p. 398.

M. Haas, in Semiconductors and Semimetals (Academic, New York, 1967), p. 3.
[CrossRef]

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Figures (5)

Fig. 1
Fig. 1

Schematic of the experimental setup: The polarization change of the probe pulse is measured with a Wollaston prism and photodiode pair after the sensor crystal.

Fig. 2
Fig. 2

Incident THz waveform, the THz waveform reflected from GaAs, and the THz waveform calculated with Eqs. (1) and (2). Inset, initial parts of the (solid curve) incident and (dashed curve) reflected THz waveforms from GaAs.

Fig. 3
Fig. 3

Sliding window Fourier-transform data of the curves in Fig. 2 for GaAs. The solid and dashed curves are for reflected and incident frequency components, respectively.

Fig. 4
Fig. 4

Spectra of the incident and the reflected THz waveforms in two different time intervals. These spectra are obtained by integration of a sliding window Fourier transform over a time interval and plotting of the result as a function of frequency in the time interval (a) shorter than or (b) longer than 500 fs.

Fig. 5
Fig. 5

Spectra of the long-lived oscillatory part of the THz waveforms (solid curve) reflected from GaAs and (dashed curve) the calculated reflected THz waveform in Fig. 2.

Equations (2)

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

ERt=0+dωRωEiωexpiωt,
N2ω=n+ik2=1+ωLO2-ωTO2ωTO2-ω2+iΓω,

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