Abstract

We demonstrate programmable generation of temporally shaped terahertz waveforms in LiNbO3 by spatially shaping the beam profile of femtosecond excitation laser pulses with a spatial light modulator. The generated terahertz waveforms have amplitudes that are approximately proportional to the first spatial derivative of the excitation beam profile.

© 2004 Optical Society of America

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References

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  1. A. M. Weiner, Rev. Sci. Instrum. 71, 1929 (2000).
    [Crossref]
  2. Y. Sohn, Y. H. Ahn, D. J. Park, E. Oh, and D. S. Kima, Appl. Phys. Lett. 81, 13 (2002).
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    [Crossref]
  4. Y. Liu, S.-G. Park, and A. M. Weiner, IEEE J. Sel. Top. Quantum Electron. 2, 709 (1996).
    [Crossref]
  5. J. Ahn, A. V. Efimov, R. D. Averitt, and A. J. Taylor, Opt. Express 11, 2486 (2003), http://www.opticsexpress.org .
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    [Crossref]
  7. J. Bromage, S. Radic, G. P. Agrawal, C. R. Stroud, P. M. Fauchet, and R. Sobolewski, J. Opt. Soc. Am. B 15, 1953 (1998).
    [Crossref]
  8. Y. S. Lee, T. Meade, T. B. Norris, and A. Galvanauskas, Appl. Phys. Lett. 78, 3583 (2001).
    [Crossref]
  9. M. Born and K. Huang, Dynamical Theory of Crystal Lattices (Oxford U. Press, London, 1988).
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    [Crossref] [PubMed]
  11. T. P. Dougherty, G. P. Wiederrecht, and K. A. Nelson, J. Opt. Soc. Am. B 9, 2179 (1992).
    [Crossref]
  12. D. A. Kleinman and D. H. Auston, IEEE J. Quantum Electron. 20, 964 (1984).
    [Crossref]
  13. D. Côté, J. E. Sipe, and H. M. van Driel, J. Opt. Soc. Am. B 20, 1374 (2003).
    [Crossref]
  14. J. C. Vaughan, T. Feurer, and K. A. Nelson, J. Opt. Soc. Am. B 19, 2489 (2002).
    [Crossref]
  15. D. H. Auston, K. P. Cheung, J. A. Valdamis, and D. A. Kleinman, Phys. Rev. Lett. 53, 1555 (1984).
    [Crossref]
  16. B. B. Hu, X.-C. Zhang, D. H. Auston, and P. R. Smith, Appl. Phys. Lett. 56, 506 (1990).
    [Crossref]
  17. T. Qiu and M. Maier, Phys. Rev. B 56, R5717 (1997).
    [Crossref]

2003 (2)

2002 (2)

J. C. Vaughan, T. Feurer, and K. A. Nelson, J. Opt. Soc. Am. B 19, 2489 (2002).
[Crossref]

Y. Sohn, Y. H. Ahn, D. J. Park, E. Oh, and D. S. Kima, Appl. Phys. Lett. 81, 13 (2002).
[Crossref]

2001 (1)

Y. S. Lee, T. Meade, T. B. Norris, and A. Galvanauskas, Appl. Phys. Lett. 78, 3583 (2001).
[Crossref]

2000 (1)

A. M. Weiner, Rev. Sci. Instrum. 71, 1929 (2000).
[Crossref]

1998 (1)

1997 (1)

T. Qiu and M. Maier, Phys. Rev. B 56, R5717 (1997).
[Crossref]

1996 (2)

A. S. Weiling and D. H. Auston, J. Opt. Soc. Am. B 13, 2783 (1996).
[Crossref]

Y. Liu, S.-G. Park, and A. M. Weiner, IEEE J. Sel. Top. Quantum Electron. 2, 709 (1996).
[Crossref]

1992 (2)

N. M. Froberg, B. B. Hu, X.-C. Zhang, and D. H. Auston, IEEE J. Quantum Electron. 28, 2291 (1992).
[Crossref]

T. P. Dougherty, G. P. Wiederrecht, and K. A. Nelson, J. Opt. Soc. Am. B 9, 2179 (1992).
[Crossref]

1990 (1)

B. B. Hu, X.-C. Zhang, D. H. Auston, and P. R. Smith, Appl. Phys. Lett. 56, 506 (1990).
[Crossref]

1985 (1)

K. P. Cheung and D. H. Auston, Phys. Rev. Lett. 55, 2152 (1985).
[Crossref] [PubMed]

1984 (2)

D. A. Kleinman and D. H. Auston, IEEE J. Quantum Electron. 20, 964 (1984).
[Crossref]

D. H. Auston, K. P. Cheung, J. A. Valdamis, and D. A. Kleinman, Phys. Rev. Lett. 53, 1555 (1984).
[Crossref]

Agrawal, G. P.

Ahn, J.

Ahn, Y. H.

Y. Sohn, Y. H. Ahn, D. J. Park, E. Oh, and D. S. Kima, Appl. Phys. Lett. 81, 13 (2002).
[Crossref]

Auston, D. H.

A. S. Weiling and D. H. Auston, J. Opt. Soc. Am. B 13, 2783 (1996).
[Crossref]

N. M. Froberg, B. B. Hu, X.-C. Zhang, and D. H. Auston, IEEE J. Quantum Electron. 28, 2291 (1992).
[Crossref]

B. B. Hu, X.-C. Zhang, D. H. Auston, and P. R. Smith, Appl. Phys. Lett. 56, 506 (1990).
[Crossref]

K. P. Cheung and D. H. Auston, Phys. Rev. Lett. 55, 2152 (1985).
[Crossref] [PubMed]

D. A. Kleinman and D. H. Auston, IEEE J. Quantum Electron. 20, 964 (1984).
[Crossref]

D. H. Auston, K. P. Cheung, J. A. Valdamis, and D. A. Kleinman, Phys. Rev. Lett. 53, 1555 (1984).
[Crossref]

Averitt, R. D.

Born, M.

M. Born and K. Huang, Dynamical Theory of Crystal Lattices (Oxford U. Press, London, 1988).

Bromage, J.

Cheung, K. P.

K. P. Cheung and D. H. Auston, Phys. Rev. Lett. 55, 2152 (1985).
[Crossref] [PubMed]

D. H. Auston, K. P. Cheung, J. A. Valdamis, and D. A. Kleinman, Phys. Rev. Lett. 53, 1555 (1984).
[Crossref]

Côté, D.

Dougherty, T. P.

Efimov, A. V.

Fauchet, P. M.

Feurer, T.

Froberg, N. M.

N. M. Froberg, B. B. Hu, X.-C. Zhang, and D. H. Auston, IEEE J. Quantum Electron. 28, 2291 (1992).
[Crossref]

Galvanauskas, A.

Y. S. Lee, T. Meade, T. B. Norris, and A. Galvanauskas, Appl. Phys. Lett. 78, 3583 (2001).
[Crossref]

Hu, B. B.

N. M. Froberg, B. B. Hu, X.-C. Zhang, and D. H. Auston, IEEE J. Quantum Electron. 28, 2291 (1992).
[Crossref]

B. B. Hu, X.-C. Zhang, D. H. Auston, and P. R. Smith, Appl. Phys. Lett. 56, 506 (1990).
[Crossref]

Huang, K.

M. Born and K. Huang, Dynamical Theory of Crystal Lattices (Oxford U. Press, London, 1988).

Kima, D. S.

Y. Sohn, Y. H. Ahn, D. J. Park, E. Oh, and D. S. Kima, Appl. Phys. Lett. 81, 13 (2002).
[Crossref]

Kleinman, D. A.

D. A. Kleinman and D. H. Auston, IEEE J. Quantum Electron. 20, 964 (1984).
[Crossref]

D. H. Auston, K. P. Cheung, J. A. Valdamis, and D. A. Kleinman, Phys. Rev. Lett. 53, 1555 (1984).
[Crossref]

Lee, Y. S.

Y. S. Lee, T. Meade, T. B. Norris, and A. Galvanauskas, Appl. Phys. Lett. 78, 3583 (2001).
[Crossref]

Liu, Y.

Y. Liu, S.-G. Park, and A. M. Weiner, IEEE J. Sel. Top. Quantum Electron. 2, 709 (1996).
[Crossref]

Maier, M.

T. Qiu and M. Maier, Phys. Rev. B 56, R5717 (1997).
[Crossref]

Meade, T.

Y. S. Lee, T. Meade, T. B. Norris, and A. Galvanauskas, Appl. Phys. Lett. 78, 3583 (2001).
[Crossref]

Nelson, K. A.

Norris, T. B.

Y. S. Lee, T. Meade, T. B. Norris, and A. Galvanauskas, Appl. Phys. Lett. 78, 3583 (2001).
[Crossref]

Oh, E.

Y. Sohn, Y. H. Ahn, D. J. Park, E. Oh, and D. S. Kima, Appl. Phys. Lett. 81, 13 (2002).
[Crossref]

Park, D. J.

Y. Sohn, Y. H. Ahn, D. J. Park, E. Oh, and D. S. Kima, Appl. Phys. Lett. 81, 13 (2002).
[Crossref]

Park, S.-G.

Y. Liu, S.-G. Park, and A. M. Weiner, IEEE J. Sel. Top. Quantum Electron. 2, 709 (1996).
[Crossref]

Qiu, T.

T. Qiu and M. Maier, Phys. Rev. B 56, R5717 (1997).
[Crossref]

Radic, S.

Sipe, J. E.

Smith, P. R.

B. B. Hu, X.-C. Zhang, D. H. Auston, and P. R. Smith, Appl. Phys. Lett. 56, 506 (1990).
[Crossref]

Sobolewski, R.

Sohn, Y.

Y. Sohn, Y. H. Ahn, D. J. Park, E. Oh, and D. S. Kima, Appl. Phys. Lett. 81, 13 (2002).
[Crossref]

Stroud, C. R.

Taylor, A. J.

Valdamis, J. A.

D. H. Auston, K. P. Cheung, J. A. Valdamis, and D. A. Kleinman, Phys. Rev. Lett. 53, 1555 (1984).
[Crossref]

van Driel, H. M.

Vaughan, J. C.

Weiling, A. S.

Weiner, A. M.

A. M. Weiner, Rev. Sci. Instrum. 71, 1929 (2000).
[Crossref]

Y. Liu, S.-G. Park, and A. M. Weiner, IEEE J. Sel. Top. Quantum Electron. 2, 709 (1996).
[Crossref]

Wiederrecht, G. P.

Zhang, X.-C.

N. M. Froberg, B. B. Hu, X.-C. Zhang, and D. H. Auston, IEEE J. Quantum Electron. 28, 2291 (1992).
[Crossref]

B. B. Hu, X.-C. Zhang, D. H. Auston, and P. R. Smith, Appl. Phys. Lett. 56, 506 (1990).
[Crossref]

Appl. Phys. Lett. (3)

Y. Sohn, Y. H. Ahn, D. J. Park, E. Oh, and D. S. Kima, Appl. Phys. Lett. 81, 13 (2002).
[Crossref]

Y. S. Lee, T. Meade, T. B. Norris, and A. Galvanauskas, Appl. Phys. Lett. 78, 3583 (2001).
[Crossref]

B. B. Hu, X.-C. Zhang, D. H. Auston, and P. R. Smith, Appl. Phys. Lett. 56, 506 (1990).
[Crossref]

IEEE J. Quantum Electron. (2)

D. A. Kleinman and D. H. Auston, IEEE J. Quantum Electron. 20, 964 (1984).
[Crossref]

N. M. Froberg, B. B. Hu, X.-C. Zhang, and D. H. Auston, IEEE J. Quantum Electron. 28, 2291 (1992).
[Crossref]

IEEE J. Sel. Top. Quantum Electron. (1)

Y. Liu, S.-G. Park, and A. M. Weiner, IEEE J. Sel. Top. Quantum Electron. 2, 709 (1996).
[Crossref]

J. Opt. Soc. Am. B (5)

Opt. Express (1)

Phys. Rev. B (1)

T. Qiu and M. Maier, Phys. Rev. B 56, R5717 (1997).
[Crossref]

Phys. Rev. Lett. (2)

K. P. Cheung and D. H. Auston, Phys. Rev. Lett. 55, 2152 (1985).
[Crossref] [PubMed]

D. H. Auston, K. P. Cheung, J. A. Valdamis, and D. A. Kleinman, Phys. Rev. Lett. 53, 1555 (1984).
[Crossref]

Rev. Sci. Instrum. (1)

A. M. Weiner, Rev. Sci. Instrum. 71, 1929 (2000).
[Crossref]

Other (1)

M. Born and K. Huang, Dynamical Theory of Crystal Lattices (Oxford U. Press, London, 1988).

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Figures (4)

Fig. 1
Fig. 1

Two complementary excitation profiles (a) and (c) whose sum (e) is spatially uniform and the corresponding measured THz waveforms (b) and (d) whose sum (f) is uniformly zero.

Fig. 2
Fig. 2

Top view of the experimental setup. The SLM variably rotates the polarization of portions of the excitation beam, which is then converted to an amplitude modulation by polarizer P and imaged onto the sample by lens L. Because of momentum conservation, two phonon-polariton waveforms travel in opposite lateral directions with a small forward component, and the electric field of one is measured by the probe pulse. The crystal can be cut to be normal to the direction of propagation of the phonon polariton to maximize the transmission of THz radiation out of the crystal.

Fig. 3
Fig. 3

Unchirped and chirped THz waveforms: (a) excitation pattern, (b) measured THz waveform, (c) windowed Fourier transform.

Fig. 4
Fig. 4

Generation of THz waveforms representing a byte. (a) Intensity plot of a vertical section of the excitation profile as a function of the spatial position together with the corresponding number in binary coding. (b) Measured THz waveform versus probe delay time. The narrow dark line at time zero in (b) is caused by an instantaneous electronic contribution to the Kerr signal.

Equations (1)

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Ex±ctn,t±xIx,

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