Abstract

We report on the generation of phase-locked terahertz pulse pairs and tunable narrow-band terahertz pulses by means of optical pulse shaping combining a liquid crystal spatial light filter and optical rectification in ZnTe. They are generated through simple sinusoidal and/or triangular phase modulations and do not require any optimization algorithm. The corresponding spectra are tunable between 0.5 and 2.5 THz with a spectral bandwidth as narrow as 140 GHz.

© 2010 Optical Society of America

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  1. Y.-S. Lee, Principles of Terahertz Science and Technology (Springer, 2009).
  2. K. Reimann, “Table-top sources of ultrashort THz pulses,” Rep. Prog. Phys. 70, 1597–1632 (2007).
    [CrossRef]
  3. A. M. Weiner, D. E. Leaird, G. P. Wiederrecht, and K. A. Nelson, “Femtosecond pulse sequences used for optical manipulation of molecular motion,” Science 247, 1317–1319 (1990).
    [CrossRef] [PubMed]
  4. I. Brener, P. C. M. Planken, M. C. Nuss, L. Pfeiffer, D. E. Leaird, and A. M. Weiner, “Repetitive excitation of charge oscillations in semiconductor heterostructures,” Appl. Phys. Lett. 63, 2213–2215 (1993).
    [CrossRef]
  5. P. C. M. Planken, I. Brener, M. C. Nuss, M. S. C. Luo, and S. L. Chuang, “Coherent control of terahertz charge oscillations in a coupled quantum well using phase-locked optical pulses,” Phys. Rev. B 48, 4903–4906 (1993).
    [CrossRef]
  6. T. Feurer, J. C. Vaughan, and K. A. Nelson, “Spatiotemporal coherent control of lattice vibrational waves,” Science 299, 374–377 (2003).
    [CrossRef] [PubMed]
  7. D. W. Ward, J. D. Beers, T. Feurer, E. R. Statz, N. S. Stoyanov, and K. A. Nelson, “Coherent control of phonon-polaritons in a terahertz resonator fabricated with femtosecond laser machining,” Opt. Lett. 29, 2671–2673 (2004).
    [CrossRef] [PubMed]
  8. T. Qi, Y.-H. Shin, K.-L. Yeh, K. A. Nelson, and A. M. Rappe, “Collective coherent control: synchronization of polarization in ferroelectric PbTiO3 by shaped THz fields,” Phys. Rev. Lett. 102, 247603 (2009).
    [CrossRef] [PubMed]
  9. Y. Liu, S.-G. Park, and A. M. Weiner, “Terahertz waveform synthesis via optical pulse shaping,” IEEE J. Sel. Top. Quantum Electron. 2, 709–719 (1996).
    [CrossRef]
  10. Y.-S. Lee, T. Meade, T. B. Norris, and A. Galvanauskas, “Tunable narrow-band terahertz generation from periodically poled lithium niobate,” Appl. Phys. Lett. 78, 3583–3585 (2001).
    [CrossRef]
  11. J. Y. Sohn, Y. H. Ahn, D. J. Park, E. Oh, and D. S. Kim, “Tunable terahertz generation using femtosecond pulse shaping,” Appl. Phys. Lett. 81, 13–15 (2002).
    [CrossRef]
  12. Y.-S. Lee, N. Amer, and W. C. Hurlbut, “Terahertz pulse shaping via optical rectification in poled lithium niobate,” Appl. Phys. Lett. 82, 170–172 (2003).
    [CrossRef]
  13. J. Ahn, A. V. Efimov, R. D. Averitt, and A. J. Taylor, “Terahertz waveform synthesis via optical rectification of shaped ultrafast laser pulses,” Opt. Express 11, 2486–2496 (2003).
    [CrossRef] [PubMed]
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  16. W. C. Hurlbut, B. J. Norton, N. Amer, and Y.-S. Lee, “Manipulation of terahertz waveforms in nonlinear optical crystals by shaped optical pulses,” J. Opt. Soc. Am. B 23, 90–93 (2006).
    [CrossRef]
  17. J. R. Danielson, A. D. Jameson, J. L. Tomaino, H. Hui, J. D. Wetzel, Y.-S. Lee, and K. L. Vodopyanov, “Intense narrow band terahertz generation via type-II difference-frequency generation in ZnTe using chirped optical pulses,” J. Appl. Phys. 104, 033111 (2008).
    [CrossRef]
  18. C. D’Amico, M. Tondusson, J. Degert, and E. Freysz, “Tuning and focusing THz pulses by shaping the pump laser beam profile in a nonlinear crystal,” Opt. Express 17, 592–597 (2009).
    [CrossRef] [PubMed]
  19. K. K. Kohli, A. Vaupel, S. Chatterjee, and W. W. Rühle, “Adaptive shaping of THz-pulses generated in ⟨100⟩ ZnTe crystals,” J. Opt. Soc. Am. B 26, A74–A78 (2009).
    [CrossRef]
  20. M. Yamaguchi and J. Das, “Terahertz wave generation in nitrogen gas using shaped optical pulses,” J. Opt. Soc. Am. B 26, A90–A94 (2009).
    [CrossRef]
  21. G. Stobrawa, M. Hacker, T. Feurer, D. Zeidler, M. Motzkus, and F. Reichel, “A new high-resolution femtosecond pulse shaper,” Appl. Phys. B 72, 627–630 (2001).
    [CrossRef]
  22. A. M. Weiner, “Femtosecond pulse shaping using spatial light modulators,” Rev. Sci. Instrum. 71, 1929–1960 (2000).
    [CrossRef]
  23. A. Monmayrant and B. Chatel, “New phase and amplitude high resolution pulse shaper,” Rev. Sci. Instrum. 75, 2668–2671 (2004).
    [CrossRef]
  24. A. Nahata, A. S. Weling, and T. F. Heinz, “A wideband coherent terahertz spectroscopy system using optical rectification and electro-optic sampling,” Appl. Phys. Lett. 69, 2321–2323 (1996).
    [CrossRef]
  25. J.-P. Caumes, L. Videau, C. Rouyer, and E. Freysz, “Kerr-like nonlinearity induced via terahertz generation and the electro-optical effect in zinc blende crystals,” Phys. Rev. Lett. 89, 047401 (2002).
    [CrossRef] [PubMed]
  26. G. Gallot and D. Grischkowsky, “Electro-optic detection of terahertz radiation,” J. Opt. Soc. Am. B 16, 1204–1212 (1999).
    [CrossRef]
  27. J. K. Wahlstrand and R. Merlin, “Cherenkov radiation emitted by ultrafast laser pulses and the generation of coherent polaritons,” Phys. Rev. B 68, 054301 (2003).
    [CrossRef]
  28. G. Gallot, J. Zhang, R. W. McGowan, T. Jeon, and D. Grischkowsky, “Measurements of the THz absorption and dispersion of ZnTe and their relevance to the electro-optic detection of THz radiation,” Appl. Phys. Lett. 74, 3450–3452 (1999).
    [CrossRef]
  29. M. Renard, R. Chaux, B. Lavorel, and O. Faucher, “Pulse trains produced by phase-modulation of ultrashort optical pulses: tailoring and characterization,” Opt. Express 12, 473–482 (2004).
    [CrossRef] [PubMed]
  30. T. Amand, V. Blanchet, B. Girard, and X. Marie, in Femtosecond Laser Pulses, C.Rullière, ed. (Springer, 2005), pp. 333–394.
    [CrossRef]
  31. P. G. Huggard, J. A. Cluff, C. J. Shaw, S. R. Andrews, E. H. Linfield, and D. A. Ritchie, “Coherent control of cyclotron emission from a semiconductor using sub-picosecond electric field transients,” Appl. Phys. Lett. 71, 2647–2649 (1997).
    [CrossRef]
  32. R. Yano, K. Nakagawa, and H. Shinojima, “Phase and amplitude control of free induction decay emitted from water vapor at 0.55 THz transition,” Jpn. J. Appl. Phys. 48, 022401 (2009).
    [CrossRef]
  33. J. C. Vaughan, T. Feurer, K. W. Stone, and K. A. Nelson, “Analysis of replica pulses in femtosecond pulse shaping with pixelated devices,” Opt. Express 14, 1314–1328 (2006).
    [CrossRef] [PubMed]
  34. J. C. Vaughan, T. Hornung, T. Feurer, and K. A. Nelson, “Diffraction-based femtosecond pulse shaping with a two-dimensional spatial light modulator,” Opt. Lett. 30, 323–325 (2005).
    [CrossRef] [PubMed]

2009

T. Qi, Y.-H. Shin, K.-L. Yeh, K. A. Nelson, and A. M. Rappe, “Collective coherent control: synchronization of polarization in ferroelectric PbTiO3 by shaped THz fields,” Phys. Rev. Lett. 102, 247603 (2009).
[CrossRef] [PubMed]

R. Yano, K. Nakagawa, and H. Shinojima, “Phase and amplitude control of free induction decay emitted from water vapor at 0.55 THz transition,” Jpn. J. Appl. Phys. 48, 022401 (2009).
[CrossRef]

C. D’Amico, M. Tondusson, J. Degert, and E. Freysz, “Tuning and focusing THz pulses by shaping the pump laser beam profile in a nonlinear crystal,” Opt. Express 17, 592–597 (2009).
[CrossRef] [PubMed]

K. K. Kohli, A. Vaupel, S. Chatterjee, and W. W. Rühle, “Adaptive shaping of THz-pulses generated in ⟨100⟩ ZnTe crystals,” J. Opt. Soc. Am. B 26, A74–A78 (2009).
[CrossRef]

M. Yamaguchi and J. Das, “Terahertz wave generation in nitrogen gas using shaped optical pulses,” J. Opt. Soc. Am. B 26, A90–A94 (2009).
[CrossRef]

2008

J. R. Danielson, A. D. Jameson, J. L. Tomaino, H. Hui, J. D. Wetzel, Y.-S. Lee, and K. L. Vodopyanov, “Intense narrow band terahertz generation via type-II difference-frequency generation in ZnTe using chirped optical pulses,” J. Appl. Phys. 104, 033111 (2008).
[CrossRef]

2007

K. Reimann, “Table-top sources of ultrashort THz pulses,” Rep. Prog. Phys. 70, 1597–1632 (2007).
[CrossRef]

2006

2005

2004

2003

J. K. Wahlstrand and R. Merlin, “Cherenkov radiation emitted by ultrafast laser pulses and the generation of coherent polaritons,” Phys. Rev. B 68, 054301 (2003).
[CrossRef]

Y.-S. Lee, N. Amer, and W. C. Hurlbut, “Terahertz pulse shaping via optical rectification in poled lithium niobate,” Appl. Phys. Lett. 82, 170–172 (2003).
[CrossRef]

T. Feurer, J. C. Vaughan, and K. A. Nelson, “Spatiotemporal coherent control of lattice vibrational waves,” Science 299, 374–377 (2003).
[CrossRef] [PubMed]

J. Ahn, A. V. Efimov, R. D. Averitt, and A. J. Taylor, “Terahertz waveform synthesis via optical rectification of shaped ultrafast laser pulses,” Opt. Express 11, 2486–2496 (2003).
[CrossRef] [PubMed]

2002

J.-P. Caumes, L. Videau, C. Rouyer, and E. Freysz, “Kerr-like nonlinearity induced via terahertz generation and the electro-optical effect in zinc blende crystals,” Phys. Rev. Lett. 89, 047401 (2002).
[CrossRef] [PubMed]

J. Y. Sohn, Y. H. Ahn, D. J. Park, E. Oh, and D. S. Kim, “Tunable terahertz generation using femtosecond pulse shaping,” Appl. Phys. Lett. 81, 13–15 (2002).
[CrossRef]

2001

Y.-S. Lee, T. Meade, T. B. Norris, and A. Galvanauskas, “Tunable narrow-band terahertz generation from periodically poled lithium niobate,” Appl. Phys. Lett. 78, 3583–3585 (2001).
[CrossRef]

G. Stobrawa, M. Hacker, T. Feurer, D. Zeidler, M. Motzkus, and F. Reichel, “A new high-resolution femtosecond pulse shaper,” Appl. Phys. B 72, 627–630 (2001).
[CrossRef]

2000

A. M. Weiner, “Femtosecond pulse shaping using spatial light modulators,” Rev. Sci. Instrum. 71, 1929–1960 (2000).
[CrossRef]

1999

G. Gallot, J. Zhang, R. W. McGowan, T. Jeon, and D. Grischkowsky, “Measurements of the THz absorption and dispersion of ZnTe and their relevance to the electro-optic detection of THz radiation,” Appl. Phys. Lett. 74, 3450–3452 (1999).
[CrossRef]

G. Gallot and D. Grischkowsky, “Electro-optic detection of terahertz radiation,” J. Opt. Soc. Am. B 16, 1204–1212 (1999).
[CrossRef]

1997

P. G. Huggard, J. A. Cluff, C. J. Shaw, S. R. Andrews, E. H. Linfield, and D. A. Ritchie, “Coherent control of cyclotron emission from a semiconductor using sub-picosecond electric field transients,” Appl. Phys. Lett. 71, 2647–2649 (1997).
[CrossRef]

1996

A. Nahata, A. S. Weling, and T. F. Heinz, “A wideband coherent terahertz spectroscopy system using optical rectification and electro-optic sampling,” Appl. Phys. Lett. 69, 2321–2323 (1996).
[CrossRef]

Y. Liu, S.-G. Park, and A. M. Weiner, “Terahertz waveform synthesis via optical pulse shaping,” IEEE J. Sel. Top. Quantum Electron. 2, 709–719 (1996).
[CrossRef]

1993

I. Brener, P. C. M. Planken, M. C. Nuss, L. Pfeiffer, D. E. Leaird, and A. M. Weiner, “Repetitive excitation of charge oscillations in semiconductor heterostructures,” Appl. Phys. Lett. 63, 2213–2215 (1993).
[CrossRef]

P. C. M. Planken, I. Brener, M. C. Nuss, M. S. C. Luo, and S. L. Chuang, “Coherent control of terahertz charge oscillations in a coupled quantum well using phase-locked optical pulses,” Phys. Rev. B 48, 4903–4906 (1993).
[CrossRef]

1990

A. M. Weiner, D. E. Leaird, G. P. Wiederrecht, and K. A. Nelson, “Femtosecond pulse sequences used for optical manipulation of molecular motion,” Science 247, 1317–1319 (1990).
[CrossRef] [PubMed]

Ahn, J.

Ahn, Y. H.

J. Y. Sohn, Y. H. Ahn, D. J. Park, E. Oh, and D. S. Kim, “Tunable terahertz generation using femtosecond pulse shaping,” Appl. Phys. Lett. 81, 13–15 (2002).
[CrossRef]

Amand, T.

T. Amand, V. Blanchet, B. Girard, and X. Marie, in Femtosecond Laser Pulses, C.Rullière, ed. (Springer, 2005), pp. 333–394.
[CrossRef]

Amer, N.

W. C. Hurlbut, B. J. Norton, N. Amer, and Y.-S. Lee, “Manipulation of terahertz waveforms in nonlinear optical crystals by shaped optical pulses,” J. Opt. Soc. Am. B 23, 90–93 (2006).
[CrossRef]

Y.-S. Lee, N. Amer, and W. C. Hurlbut, “Terahertz pulse shaping via optical rectification in poled lithium niobate,” Appl. Phys. Lett. 82, 170–172 (2003).
[CrossRef]

Andrews, S. R.

P. G. Huggard, J. A. Cluff, C. J. Shaw, S. R. Andrews, E. H. Linfield, and D. A. Ritchie, “Coherent control of cyclotron emission from a semiconductor using sub-picosecond electric field transients,” Appl. Phys. Lett. 71, 2647–2649 (1997).
[CrossRef]

Averitt, R. D.

Beers, J. D.

Blanchet, V.

T. Amand, V. Blanchet, B. Girard, and X. Marie, in Femtosecond Laser Pulses, C.Rullière, ed. (Springer, 2005), pp. 333–394.
[CrossRef]

Brener, I.

I. Brener, P. C. M. Planken, M. C. Nuss, L. Pfeiffer, D. E. Leaird, and A. M. Weiner, “Repetitive excitation of charge oscillations in semiconductor heterostructures,” Appl. Phys. Lett. 63, 2213–2215 (1993).
[CrossRef]

P. C. M. Planken, I. Brener, M. C. Nuss, M. S. C. Luo, and S. L. Chuang, “Coherent control of terahertz charge oscillations in a coupled quantum well using phase-locked optical pulses,” Phys. Rev. B 48, 4903–4906 (1993).
[CrossRef]

Caumes, J. -P.

J.-P. Caumes, L. Videau, C. Rouyer, and E. Freysz, “Kerr-like nonlinearity induced via terahertz generation and the electro-optical effect in zinc blende crystals,” Phys. Rev. Lett. 89, 047401 (2002).
[CrossRef] [PubMed]

Chatel, B.

A. Monmayrant and B. Chatel, “New phase and amplitude high resolution pulse shaper,” Rev. Sci. Instrum. 75, 2668–2671 (2004).
[CrossRef]

Chatterjee, S.

Chaux, R.

Chuang, S. L.

P. C. M. Planken, I. Brener, M. C. Nuss, M. S. C. Luo, and S. L. Chuang, “Coherent control of terahertz charge oscillations in a coupled quantum well using phase-locked optical pulses,” Phys. Rev. B 48, 4903–4906 (1993).
[CrossRef]

Cluff, J. A.

P. G. Huggard, J. A. Cluff, C. J. Shaw, S. R. Andrews, E. H. Linfield, and D. A. Ritchie, “Coherent control of cyclotron emission from a semiconductor using sub-picosecond electric field transients,” Appl. Phys. Lett. 71, 2647–2649 (1997).
[CrossRef]

D’Amico, C.

Danielson, J. R.

J. R. Danielson, A. D. Jameson, J. L. Tomaino, H. Hui, J. D. Wetzel, Y.-S. Lee, and K. L. Vodopyanov, “Intense narrow band terahertz generation via type-II difference-frequency generation in ZnTe using chirped optical pulses,” J. Appl. Phys. 104, 033111 (2008).
[CrossRef]

Das, J.

Degert, J.

Efimov, A. V.

Faucher, O.

Feurer, T.

Freysz, E.

C. D’Amico, M. Tondusson, J. Degert, and E. Freysz, “Tuning and focusing THz pulses by shaping the pump laser beam profile in a nonlinear crystal,” Opt. Express 17, 592–597 (2009).
[CrossRef] [PubMed]

J.-P. Caumes, L. Videau, C. Rouyer, and E. Freysz, “Kerr-like nonlinearity induced via terahertz generation and the electro-optical effect in zinc blende crystals,” Phys. Rev. Lett. 89, 047401 (2002).
[CrossRef] [PubMed]

Gallot, G.

G. Gallot, J. Zhang, R. W. McGowan, T. Jeon, and D. Grischkowsky, “Measurements of the THz absorption and dispersion of ZnTe and their relevance to the electro-optic detection of THz radiation,” Appl. Phys. Lett. 74, 3450–3452 (1999).
[CrossRef]

G. Gallot and D. Grischkowsky, “Electro-optic detection of terahertz radiation,” J. Opt. Soc. Am. B 16, 1204–1212 (1999).
[CrossRef]

Galvanauskas, A.

Y.-S. Lee, T. Meade, T. B. Norris, and A. Galvanauskas, “Tunable narrow-band terahertz generation from periodically poled lithium niobate,” Appl. Phys. Lett. 78, 3583–3585 (2001).
[CrossRef]

Girard, B.

T. Amand, V. Blanchet, B. Girard, and X. Marie, in Femtosecond Laser Pulses, C.Rullière, ed. (Springer, 2005), pp. 333–394.
[CrossRef]

Grischkowsky, D.

G. Gallot and D. Grischkowsky, “Electro-optic detection of terahertz radiation,” J. Opt. Soc. Am. B 16, 1204–1212 (1999).
[CrossRef]

G. Gallot, J. Zhang, R. W. McGowan, T. Jeon, and D. Grischkowsky, “Measurements of the THz absorption and dispersion of ZnTe and their relevance to the electro-optic detection of THz radiation,” Appl. Phys. Lett. 74, 3450–3452 (1999).
[CrossRef]

Hacker, M.

G. Stobrawa, M. Hacker, T. Feurer, D. Zeidler, M. Motzkus, and F. Reichel, “A new high-resolution femtosecond pulse shaper,” Appl. Phys. B 72, 627–630 (2001).
[CrossRef]

Hebling, J.

Heinz, T. F.

A. Nahata, A. S. Weling, and T. F. Heinz, “A wideband coherent terahertz spectroscopy system using optical rectification and electro-optic sampling,” Appl. Phys. Lett. 69, 2321–2323 (1996).
[CrossRef]

Hornung, T.

Huggard, P. G.

P. G. Huggard, J. A. Cluff, C. J. Shaw, S. R. Andrews, E. H. Linfield, and D. A. Ritchie, “Coherent control of cyclotron emission from a semiconductor using sub-picosecond electric field transients,” Appl. Phys. Lett. 71, 2647–2649 (1997).
[CrossRef]

Hui, H.

J. R. Danielson, A. D. Jameson, J. L. Tomaino, H. Hui, J. D. Wetzel, Y.-S. Lee, and K. L. Vodopyanov, “Intense narrow band terahertz generation via type-II difference-frequency generation in ZnTe using chirped optical pulses,” J. Appl. Phys. 104, 033111 (2008).
[CrossRef]

Hurlbut, W. C.

W. C. Hurlbut, B. J. Norton, N. Amer, and Y.-S. Lee, “Manipulation of terahertz waveforms in nonlinear optical crystals by shaped optical pulses,” J. Opt. Soc. Am. B 23, 90–93 (2006).
[CrossRef]

Y.-S. Lee, N. Amer, and W. C. Hurlbut, “Terahertz pulse shaping via optical rectification in poled lithium niobate,” Appl. Phys. Lett. 82, 170–172 (2003).
[CrossRef]

Jameson, A. D.

J. R. Danielson, A. D. Jameson, J. L. Tomaino, H. Hui, J. D. Wetzel, Y.-S. Lee, and K. L. Vodopyanov, “Intense narrow band terahertz generation via type-II difference-frequency generation in ZnTe using chirped optical pulses,” J. Appl. Phys. 104, 033111 (2008).
[CrossRef]

Jeon, T.

G. Gallot, J. Zhang, R. W. McGowan, T. Jeon, and D. Grischkowsky, “Measurements of the THz absorption and dispersion of ZnTe and their relevance to the electro-optic detection of THz radiation,” Appl. Phys. Lett. 74, 3450–3452 (1999).
[CrossRef]

Kim, D. S.

J. Y. Sohn, Y. H. Ahn, D. J. Park, E. Oh, and D. S. Kim, “Tunable terahertz generation using femtosecond pulse shaping,” Appl. Phys. Lett. 81, 13–15 (2002).
[CrossRef]

Kohli, K. K.

Kuhl, J.

Lavorel, B.

Leaird, D. E.

I. Brener, P. C. M. Planken, M. C. Nuss, L. Pfeiffer, D. E. Leaird, and A. M. Weiner, “Repetitive excitation of charge oscillations in semiconductor heterostructures,” Appl. Phys. Lett. 63, 2213–2215 (1993).
[CrossRef]

A. M. Weiner, D. E. Leaird, G. P. Wiederrecht, and K. A. Nelson, “Femtosecond pulse sequences used for optical manipulation of molecular motion,” Science 247, 1317–1319 (1990).
[CrossRef] [PubMed]

Lee, Y. -S.

J. R. Danielson, A. D. Jameson, J. L. Tomaino, H. Hui, J. D. Wetzel, Y.-S. Lee, and K. L. Vodopyanov, “Intense narrow band terahertz generation via type-II difference-frequency generation in ZnTe using chirped optical pulses,” J. Appl. Phys. 104, 033111 (2008).
[CrossRef]

W. C. Hurlbut, B. J. Norton, N. Amer, and Y.-S. Lee, “Manipulation of terahertz waveforms in nonlinear optical crystals by shaped optical pulses,” J. Opt. Soc. Am. B 23, 90–93 (2006).
[CrossRef]

Y.-S. Lee, N. Amer, and W. C. Hurlbut, “Terahertz pulse shaping via optical rectification in poled lithium niobate,” Appl. Phys. Lett. 82, 170–172 (2003).
[CrossRef]

Y.-S. Lee, T. Meade, T. B. Norris, and A. Galvanauskas, “Tunable narrow-band terahertz generation from periodically poled lithium niobate,” Appl. Phys. Lett. 78, 3583–3585 (2001).
[CrossRef]

Y.-S. Lee, Principles of Terahertz Science and Technology (Springer, 2009).

Linfield, E. H.

P. G. Huggard, J. A. Cluff, C. J. Shaw, S. R. Andrews, E. H. Linfield, and D. A. Ritchie, “Coherent control of cyclotron emission from a semiconductor using sub-picosecond electric field transients,” Appl. Phys. Lett. 71, 2647–2649 (1997).
[CrossRef]

Liu, Y.

Y. Liu, S.-G. Park, and A. M. Weiner, “Terahertz waveform synthesis via optical pulse shaping,” IEEE J. Sel. Top. Quantum Electron. 2, 709–719 (1996).
[CrossRef]

Luo, M. S. C.

P. C. M. Planken, I. Brener, M. C. Nuss, M. S. C. Luo, and S. L. Chuang, “Coherent control of terahertz charge oscillations in a coupled quantum well using phase-locked optical pulses,” Phys. Rev. B 48, 4903–4906 (1993).
[CrossRef]

Marie, X.

T. Amand, V. Blanchet, B. Girard, and X. Marie, in Femtosecond Laser Pulses, C.Rullière, ed. (Springer, 2005), pp. 333–394.
[CrossRef]

McGowan, R. W.

G. Gallot, J. Zhang, R. W. McGowan, T. Jeon, and D. Grischkowsky, “Measurements of the THz absorption and dispersion of ZnTe and their relevance to the electro-optic detection of THz radiation,” Appl. Phys. Lett. 74, 3450–3452 (1999).
[CrossRef]

Meade, T.

Y.-S. Lee, T. Meade, T. B. Norris, and A. Galvanauskas, “Tunable narrow-band terahertz generation from periodically poled lithium niobate,” Appl. Phys. Lett. 78, 3583–3585 (2001).
[CrossRef]

Merlin, R.

J. K. Wahlstrand and R. Merlin, “Cherenkov radiation emitted by ultrafast laser pulses and the generation of coherent polaritons,” Phys. Rev. B 68, 054301 (2003).
[CrossRef]

Monmayrant, A.

A. Monmayrant and B. Chatel, “New phase and amplitude high resolution pulse shaper,” Rev. Sci. Instrum. 75, 2668–2671 (2004).
[CrossRef]

Motzkus, M.

G. Stobrawa, M. Hacker, T. Feurer, D. Zeidler, M. Motzkus, and F. Reichel, “A new high-resolution femtosecond pulse shaper,” Appl. Phys. B 72, 627–630 (2001).
[CrossRef]

Nahata, A.

A. Nahata, A. S. Weling, and T. F. Heinz, “A wideband coherent terahertz spectroscopy system using optical rectification and electro-optic sampling,” Appl. Phys. Lett. 69, 2321–2323 (1996).
[CrossRef]

Nakagawa, K.

R. Yano, K. Nakagawa, and H. Shinojima, “Phase and amplitude control of free induction decay emitted from water vapor at 0.55 THz transition,” Jpn. J. Appl. Phys. 48, 022401 (2009).
[CrossRef]

Nelson, K. A.

Norris, T. B.

Y.-S. Lee, T. Meade, T. B. Norris, and A. Galvanauskas, “Tunable narrow-band terahertz generation from periodically poled lithium niobate,” Appl. Phys. Lett. 78, 3583–3585 (2001).
[CrossRef]

Norton, B. J.

Nuss, M. C.

I. Brener, P. C. M. Planken, M. C. Nuss, L. Pfeiffer, D. E. Leaird, and A. M. Weiner, “Repetitive excitation of charge oscillations in semiconductor heterostructures,” Appl. Phys. Lett. 63, 2213–2215 (1993).
[CrossRef]

P. C. M. Planken, I. Brener, M. C. Nuss, M. S. C. Luo, and S. L. Chuang, “Coherent control of terahertz charge oscillations in a coupled quantum well using phase-locked optical pulses,” Phys. Rev. B 48, 4903–4906 (1993).
[CrossRef]

Oh, E.

J. Y. Sohn, Y. H. Ahn, D. J. Park, E. Oh, and D. S. Kim, “Tunable terahertz generation using femtosecond pulse shaping,” Appl. Phys. Lett. 81, 13–15 (2002).
[CrossRef]

Park, D. J.

J. Y. Sohn, Y. H. Ahn, D. J. Park, E. Oh, and D. S. Kim, “Tunable terahertz generation using femtosecond pulse shaping,” Appl. Phys. Lett. 81, 13–15 (2002).
[CrossRef]

Park, S. -G.

Y. Liu, S.-G. Park, and A. M. Weiner, “Terahertz waveform synthesis via optical pulse shaping,” IEEE J. Sel. Top. Quantum Electron. 2, 709–719 (1996).
[CrossRef]

Pfeiffer, L.

I. Brener, P. C. M. Planken, M. C. Nuss, L. Pfeiffer, D. E. Leaird, and A. M. Weiner, “Repetitive excitation of charge oscillations in semiconductor heterostructures,” Appl. Phys. Lett. 63, 2213–2215 (1993).
[CrossRef]

Planken, P. C. M.

I. Brener, P. C. M. Planken, M. C. Nuss, L. Pfeiffer, D. E. Leaird, and A. M. Weiner, “Repetitive excitation of charge oscillations in semiconductor heterostructures,” Appl. Phys. Lett. 63, 2213–2215 (1993).
[CrossRef]

P. C. M. Planken, I. Brener, M. C. Nuss, M. S. C. Luo, and S. L. Chuang, “Coherent control of terahertz charge oscillations in a coupled quantum well using phase-locked optical pulses,” Phys. Rev. B 48, 4903–4906 (1993).
[CrossRef]

Qi, T.

T. Qi, Y.-H. Shin, K.-L. Yeh, K. A. Nelson, and A. M. Rappe, “Collective coherent control: synchronization of polarization in ferroelectric PbTiO3 by shaped THz fields,” Phys. Rev. Lett. 102, 247603 (2009).
[CrossRef] [PubMed]

Rappe, A. M.

T. Qi, Y.-H. Shin, K.-L. Yeh, K. A. Nelson, and A. M. Rappe, “Collective coherent control: synchronization of polarization in ferroelectric PbTiO3 by shaped THz fields,” Phys. Rev. Lett. 102, 247603 (2009).
[CrossRef] [PubMed]

Reichel, F.

G. Stobrawa, M. Hacker, T. Feurer, D. Zeidler, M. Motzkus, and F. Reichel, “A new high-resolution femtosecond pulse shaper,” Appl. Phys. B 72, 627–630 (2001).
[CrossRef]

Reimann, K.

K. Reimann, “Table-top sources of ultrashort THz pulses,” Rep. Prog. Phys. 70, 1597–1632 (2007).
[CrossRef]

Renard, M.

Ritchie, D. A.

P. G. Huggard, J. A. Cluff, C. J. Shaw, S. R. Andrews, E. H. Linfield, and D. A. Ritchie, “Coherent control of cyclotron emission from a semiconductor using sub-picosecond electric field transients,” Appl. Phys. Lett. 71, 2647–2649 (1997).
[CrossRef]

Rouyer, C.

J.-P. Caumes, L. Videau, C. Rouyer, and E. Freysz, “Kerr-like nonlinearity induced via terahertz generation and the electro-optical effect in zinc blende crystals,” Phys. Rev. Lett. 89, 047401 (2002).
[CrossRef] [PubMed]

Rühle, W. W.

Shaw, C. J.

P. G. Huggard, J. A. Cluff, C. J. Shaw, S. R. Andrews, E. H. Linfield, and D. A. Ritchie, “Coherent control of cyclotron emission from a semiconductor using sub-picosecond electric field transients,” Appl. Phys. Lett. 71, 2647–2649 (1997).
[CrossRef]

Shin, Y. -H.

T. Qi, Y.-H. Shin, K.-L. Yeh, K. A. Nelson, and A. M. Rappe, “Collective coherent control: synchronization of polarization in ferroelectric PbTiO3 by shaped THz fields,” Phys. Rev. Lett. 102, 247603 (2009).
[CrossRef] [PubMed]

Shinojima, H.

R. Yano, K. Nakagawa, and H. Shinojima, “Phase and amplitude control of free induction decay emitted from water vapor at 0.55 THz transition,” Jpn. J. Appl. Phys. 48, 022401 (2009).
[CrossRef]

Sohn, J. Y.

J. Y. Sohn, Y. H. Ahn, D. J. Park, E. Oh, and D. S. Kim, “Tunable terahertz generation using femtosecond pulse shaping,” Appl. Phys. Lett. 81, 13–15 (2002).
[CrossRef]

Statz, E. R.

Stepanov, A. G.

Stobrawa, G.

G. Stobrawa, M. Hacker, T. Feurer, D. Zeidler, M. Motzkus, and F. Reichel, “A new high-resolution femtosecond pulse shaper,” Appl. Phys. B 72, 627–630 (2001).
[CrossRef]

Stone, K. W.

Stoyanov, N. S.

Taylor, A. J.

Tomaino, J. L.

J. R. Danielson, A. D. Jameson, J. L. Tomaino, H. Hui, J. D. Wetzel, Y.-S. Lee, and K. L. Vodopyanov, “Intense narrow band terahertz generation via type-II difference-frequency generation in ZnTe using chirped optical pulses,” J. Appl. Phys. 104, 033111 (2008).
[CrossRef]

Tondusson, M.

Vaughan, J. C.

Vaupel, A.

Videau, L.

J.-P. Caumes, L. Videau, C. Rouyer, and E. Freysz, “Kerr-like nonlinearity induced via terahertz generation and the electro-optical effect in zinc blende crystals,” Phys. Rev. Lett. 89, 047401 (2002).
[CrossRef] [PubMed]

Vodopyanov, K. L.

J. R. Danielson, A. D. Jameson, J. L. Tomaino, H. Hui, J. D. Wetzel, Y.-S. Lee, and K. L. Vodopyanov, “Intense narrow band terahertz generation via type-II difference-frequency generation in ZnTe using chirped optical pulses,” J. Appl. Phys. 104, 033111 (2008).
[CrossRef]

Wahlstrand, J. K.

J. K. Wahlstrand and R. Merlin, “Cherenkov radiation emitted by ultrafast laser pulses and the generation of coherent polaritons,” Phys. Rev. B 68, 054301 (2003).
[CrossRef]

Ward, D. W.

Weiner, A. M.

A. M. Weiner, “Femtosecond pulse shaping using spatial light modulators,” Rev. Sci. Instrum. 71, 1929–1960 (2000).
[CrossRef]

Y. Liu, S.-G. Park, and A. M. Weiner, “Terahertz waveform synthesis via optical pulse shaping,” IEEE J. Sel. Top. Quantum Electron. 2, 709–719 (1996).
[CrossRef]

I. Brener, P. C. M. Planken, M. C. Nuss, L. Pfeiffer, D. E. Leaird, and A. M. Weiner, “Repetitive excitation of charge oscillations in semiconductor heterostructures,” Appl. Phys. Lett. 63, 2213–2215 (1993).
[CrossRef]

A. M. Weiner, D. E. Leaird, G. P. Wiederrecht, and K. A. Nelson, “Femtosecond pulse sequences used for optical manipulation of molecular motion,” Science 247, 1317–1319 (1990).
[CrossRef] [PubMed]

Weling, A. S.

A. Nahata, A. S. Weling, and T. F. Heinz, “A wideband coherent terahertz spectroscopy system using optical rectification and electro-optic sampling,” Appl. Phys. Lett. 69, 2321–2323 (1996).
[CrossRef]

Wetzel, J. D.

J. R. Danielson, A. D. Jameson, J. L. Tomaino, H. Hui, J. D. Wetzel, Y.-S. Lee, and K. L. Vodopyanov, “Intense narrow band terahertz generation via type-II difference-frequency generation in ZnTe using chirped optical pulses,” J. Appl. Phys. 104, 033111 (2008).
[CrossRef]

Wiederrecht, G. P.

A. M. Weiner, D. E. Leaird, G. P. Wiederrecht, and K. A. Nelson, “Femtosecond pulse sequences used for optical manipulation of molecular motion,” Science 247, 1317–1319 (1990).
[CrossRef] [PubMed]

Yamaguchi, M.

Yano, R.

R. Yano, K. Nakagawa, and H. Shinojima, “Phase and amplitude control of free induction decay emitted from water vapor at 0.55 THz transition,” Jpn. J. Appl. Phys. 48, 022401 (2009).
[CrossRef]

Yeh, K. -L.

T. Qi, Y.-H. Shin, K.-L. Yeh, K. A. Nelson, and A. M. Rappe, “Collective coherent control: synchronization of polarization in ferroelectric PbTiO3 by shaped THz fields,” Phys. Rev. Lett. 102, 247603 (2009).
[CrossRef] [PubMed]

Zeidler, D.

G. Stobrawa, M. Hacker, T. Feurer, D. Zeidler, M. Motzkus, and F. Reichel, “A new high-resolution femtosecond pulse shaper,” Appl. Phys. B 72, 627–630 (2001).
[CrossRef]

Zhang, J.

G. Gallot, J. Zhang, R. W. McGowan, T. Jeon, and D. Grischkowsky, “Measurements of the THz absorption and dispersion of ZnTe and their relevance to the electro-optic detection of THz radiation,” Appl. Phys. Lett. 74, 3450–3452 (1999).
[CrossRef]

Appl. Phys. B

G. Stobrawa, M. Hacker, T. Feurer, D. Zeidler, M. Motzkus, and F. Reichel, “A new high-resolution femtosecond pulse shaper,” Appl. Phys. B 72, 627–630 (2001).
[CrossRef]

Appl. Phys. Lett.

I. Brener, P. C. M. Planken, M. C. Nuss, L. Pfeiffer, D. E. Leaird, and A. M. Weiner, “Repetitive excitation of charge oscillations in semiconductor heterostructures,” Appl. Phys. Lett. 63, 2213–2215 (1993).
[CrossRef]

A. Nahata, A. S. Weling, and T. F. Heinz, “A wideband coherent terahertz spectroscopy system using optical rectification and electro-optic sampling,” Appl. Phys. Lett. 69, 2321–2323 (1996).
[CrossRef]

P. G. Huggard, J. A. Cluff, C. J. Shaw, S. R. Andrews, E. H. Linfield, and D. A. Ritchie, “Coherent control of cyclotron emission from a semiconductor using sub-picosecond electric field transients,” Appl. Phys. Lett. 71, 2647–2649 (1997).
[CrossRef]

Y.-S. Lee, T. Meade, T. B. Norris, and A. Galvanauskas, “Tunable narrow-band terahertz generation from periodically poled lithium niobate,” Appl. Phys. Lett. 78, 3583–3585 (2001).
[CrossRef]

J. Y. Sohn, Y. H. Ahn, D. J. Park, E. Oh, and D. S. Kim, “Tunable terahertz generation using femtosecond pulse shaping,” Appl. Phys. Lett. 81, 13–15 (2002).
[CrossRef]

Y.-S. Lee, N. Amer, and W. C. Hurlbut, “Terahertz pulse shaping via optical rectification in poled lithium niobate,” Appl. Phys. Lett. 82, 170–172 (2003).
[CrossRef]

G. Gallot, J. Zhang, R. W. McGowan, T. Jeon, and D. Grischkowsky, “Measurements of the THz absorption and dispersion of ZnTe and their relevance to the electro-optic detection of THz radiation,” Appl. Phys. Lett. 74, 3450–3452 (1999).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron.

Y. Liu, S.-G. Park, and A. M. Weiner, “Terahertz waveform synthesis via optical pulse shaping,” IEEE J. Sel. Top. Quantum Electron. 2, 709–719 (1996).
[CrossRef]

J. Appl. Phys.

J. R. Danielson, A. D. Jameson, J. L. Tomaino, H. Hui, J. D. Wetzel, Y.-S. Lee, and K. L. Vodopyanov, “Intense narrow band terahertz generation via type-II difference-frequency generation in ZnTe using chirped optical pulses,” J. Appl. Phys. 104, 033111 (2008).
[CrossRef]

J. Opt. Soc. Am. B

Jpn. J. Appl. Phys.

R. Yano, K. Nakagawa, and H. Shinojima, “Phase and amplitude control of free induction decay emitted from water vapor at 0.55 THz transition,” Jpn. J. Appl. Phys. 48, 022401 (2009).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. B

J. K. Wahlstrand and R. Merlin, “Cherenkov radiation emitted by ultrafast laser pulses and the generation of coherent polaritons,” Phys. Rev. B 68, 054301 (2003).
[CrossRef]

P. C. M. Planken, I. Brener, M. C. Nuss, M. S. C. Luo, and S. L. Chuang, “Coherent control of terahertz charge oscillations in a coupled quantum well using phase-locked optical pulses,” Phys. Rev. B 48, 4903–4906 (1993).
[CrossRef]

Phys. Rev. Lett.

J.-P. Caumes, L. Videau, C. Rouyer, and E. Freysz, “Kerr-like nonlinearity induced via terahertz generation and the electro-optical effect in zinc blende crystals,” Phys. Rev. Lett. 89, 047401 (2002).
[CrossRef] [PubMed]

T. Qi, Y.-H. Shin, K.-L. Yeh, K. A. Nelson, and A. M. Rappe, “Collective coherent control: synchronization of polarization in ferroelectric PbTiO3 by shaped THz fields,” Phys. Rev. Lett. 102, 247603 (2009).
[CrossRef] [PubMed]

Rep. Prog. Phys.

K. Reimann, “Table-top sources of ultrashort THz pulses,” Rep. Prog. Phys. 70, 1597–1632 (2007).
[CrossRef]

Rev. Sci. Instrum.

A. M. Weiner, “Femtosecond pulse shaping using spatial light modulators,” Rev. Sci. Instrum. 71, 1929–1960 (2000).
[CrossRef]

A. Monmayrant and B. Chatel, “New phase and amplitude high resolution pulse shaper,” Rev. Sci. Instrum. 75, 2668–2671 (2004).
[CrossRef]

Science

T. Feurer, J. C. Vaughan, and K. A. Nelson, “Spatiotemporal coherent control of lattice vibrational waves,” Science 299, 374–377 (2003).
[CrossRef] [PubMed]

A. M. Weiner, D. E. Leaird, G. P. Wiederrecht, and K. A. Nelson, “Femtosecond pulse sequences used for optical manipulation of molecular motion,” Science 247, 1317–1319 (1990).
[CrossRef] [PubMed]

Other

Y.-S. Lee, Principles of Terahertz Science and Technology (Springer, 2009).

T. Amand, V. Blanchet, B. Girard, and X. Marie, in Femtosecond Laser Pulses, C.Rullière, ed. (Springer, 2005), pp. 333–394.
[CrossRef]

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Figures (7)

Fig. 1
Fig. 1

(a) Power spectrum of an optical pulse with λ 0 = 790   nm : TL pulse (solid curve); shaped pulse with a sinusoidal phase modulation ϕ ( ω ) = a   sin ( ω / F rep ) (dashed curve). (b) Terahertz spectra generated by optical rectification in a 110 ZnTe of a: TL pulse (solid curve); sinusoidally phase modulated pulse (dashed curve).

Fig. 2
Fig. 2

Terahertz pulse train with an adjustable repetition rate F rep , the parameter a being equal to 1.25. Experiment: (a) waveforms and (c) corresponding spectra. Simulation: (b) waveforms and (d) corresponding spectra.

Fig. 3
Fig. 3

Experimental illustration of the spectral narrowing by a sinusoidal phase modulation ϕ ( ω ) = a   sin ( ω / F rep ) : (a) cross-correlation of the optical pulse train generated with a = 1.25 and F rep = 2.4   THz . (b) Associated terahertz train and (c) corresponding spectrum: experiment in black and simulation in gray. (d) Cross-correlation of the optical pulse train generated with a = 2.65 and F rep = 2.4   THz . (e) Associated terahertz train and (f) corresponding spectrum.

Fig. 4
Fig. 4

Sequence of terahertz phase-locked pulses experimentally generated by applying a triangular phase modulation with Δ τ = 2.5   ps and δ ω = 0 to the rectified optical pulse: (a) cross-correlation of the initial TL optical pulse, (b) associated terahertz waveform, and (c) corresponding spectrum. (d) Cross-correlation of the optical pulse pair, (e) associated terahertz waveform, and (f) corresponding spectrum.

Fig. 5
Fig. 5

Sequence of terahertz pulse trains generated by applying simultaneously a triangular and a sinusoidal phase with a = 1.25 , F rep = 2   THz , Δ τ = 2.5   ps , and δ ω = 0 . (a) Cross-correlation of the optical pulse, (b) associated terahertz waveform, and (c) corresponding spectrum. Panels (d), (e), and (f) correspond, respectively, to the simulations of panels (a), (b), and (c).

Fig. 6
Fig. 6

In-phase and out-of-phase sequences of pulse trains at Ω 0 = 2   THz : (a) experimental terahertz spectra obtained for a = 1.25 , F rep = 2   THz , δ ω = 0 , Δ τ = 2.5   ps (solid curve, corresponding to Δ φ = 2 π p ), and Δ τ = 2.375   ps [dashed curve, corresponding to Δ φ = 2 π ( p + 1 / 2 ) ]. (b) Corresponding simulations.

Fig. 7
Fig. 7

Spectral smoothing [(a) and (b)] and spectral narrowing [(c) and (d)] with a sequence of terahertz pulse trains. In both cases a = 2.65 , F rep = 2   THz , and δ ω = 0 . (e) Experimental illustration of the tunability of the spectral smoothing shown in (a): for all the curves a = 2.65 , Δ τ = 1 / F rep , and δ ω = 0 .

Equations (6)

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E THz ( Ω ) = i L e Ω 2 c 2 χ ( 2 ) ( Ω ) k ( Ω ) + Ω v g e i [ k ( Ω ) + Ω / v g ] L e / 2 C ( Ω ) sinc [ L e Δ k 2 ] ,
S ( Ω ) E THz ( Ω ) C probe ( Ω ) χ ( 2 ) ( Ω ) e i L d Δ k 1 i Δ k ,
C ( Ω ) = d ω 2 π E ( ω ) E ( ω Ω ) = d ω 2 π A ( ω ) A ( ω Ω ) e i [ ϕ ( ω ) ϕ ( ω Ω ) ] ,
E ( t ) m = + J m ( a ) exp ( i m π 2 ) exp [ 2   ln   2 ( t m T rep τ p ) 2 ] ,
S ( Ω ) | E THz ( Ω ) | 2 | 1 + e i Ω t p | 2 .
ϕ ( ω ) = a   sin ( ω / F rep ) Δ τ | ω ( ω 0 + δ ω ) | .

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