Abstract

We describe a simple linear filtering technique for transforming individual femtosecond light pulses into terahertz-repetition-rate bursts of femtosecond pulses. By using phase-only filtering, high efficiency is achieved. Pulse repetition rates approaching 6 THz are obtained.

© 1990 Optical Society of America

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References

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  1. A. Hasegawa, W. F. Brinkman, IEEE J. Quantum Electron. QE-16, 694 (1980).
    [CrossRef]
  2. K. Tai, A. Tomita, J. L. Jewell, A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
    [CrossRef]
  3. A. S. Gouveia-Neto, M. E. Fallon, A. S. B. Sombra, P. G. Wigley, J. R. Taylor, Opt. Lett. 13, 901 (1988).
    [CrossRef] [PubMed]
  4. M. Nakazawa, K. Suzuki, H. A. Haus, “The modulational instability laser: Part I. Experiment,” IEEE J. Quantum Electron. (to be published).
  5. E. M. Dianov, P. V. Mamyshev, A. M. Prokhorov, S. V. Chernikov, Opt. Lett. 14, 1008 (1989).
    [CrossRef] [PubMed]
  6. A. M. Weiner, J. P. Heritage, J. A. Salehi, Opt. Lett. 13, 300 (1988).
    [CrossRef] [PubMed]
  7. A. M. Weiner, J. P. Heritage, E. M. Kirschner, J. Opt. Soc. Am. B 5, 1566 (1988).
  8. J. A. Valdmanis, R. L. Fork, J. P. Gordon, Opt. Lett. 10, 131 (1985).
    [CrossRef] [PubMed]
  9. C. Froehly, B. Colombeau, M. Vampouille, in Progress in Optics XX, E. Wolf, ed. (North-Holland, Amsterdam, 1983), pp. 65–153.
  10. T. Kobayashi, A. Morimoto, in OSA Proceedings on Picosecond Electronics and Optoelectronics, T. C. L. G. Sollner, D. M. Bloom, eds. (Optical Society of America, Washington, D.C., 1989), p. 81.
  11. A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
    [CrossRef] [PubMed]
  12. T. Sizer, IEEE J. Quantum Electron. 25, 97 (1989).
    [CrossRef]
  13. M. R. Schroeder, Number Theory in Science and Communication (Springer-Verlag, Berlin, 1986).
  14. R. Skaug, J. F. Hjelmstad, Spread Spectrum in Communications (Peregrinus, London, 1985).
    [CrossRef]
  15. H. Dammann, K. Gortler, Opt. Commun. 3, 312 (1971).
    [CrossRef]
  16. U. Killatt, G. Rabe, W. Rave, Fiber Integrated Opt. 4, 159 (1982).
    [CrossRef]
  17. S. DeSilvestri, J. G. Fujimoto, E. P. Ippen, E. B. Gamble, L. R. Williams, K. A. Nelson, Chem. Phys. Lett. 116, 146 (1985).
    [CrossRef]
  18. Y.-X. Yan, L.-T. Cheng, K. A. Nelson, in Advances in Nonlinear Spectroscopy, R. J. H. Clark, R. E. Hester, eds. (Wiley, Chichester, UK, 1988).
  19. A. M. Weiner, D. E. Leaird, G. P. Wiederrecht, K. A. Nelson, “Femtosecond pulse sequences used for optical manipulation of molecular motion,” submitted to Science.

1989 (2)

1988 (4)

A. M. Weiner, J. P. Heritage, J. A. Salehi, Opt. Lett. 13, 300 (1988).
[CrossRef] [PubMed]

A. M. Weiner, J. P. Heritage, E. M. Kirschner, J. Opt. Soc. Am. B 5, 1566 (1988).

A. S. Gouveia-Neto, M. E. Fallon, A. S. B. Sombra, P. G. Wigley, J. R. Taylor, Opt. Lett. 13, 901 (1988).
[CrossRef] [PubMed]

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

1986 (1)

K. Tai, A. Tomita, J. L. Jewell, A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[CrossRef]

1985 (2)

J. A. Valdmanis, R. L. Fork, J. P. Gordon, Opt. Lett. 10, 131 (1985).
[CrossRef] [PubMed]

S. DeSilvestri, J. G. Fujimoto, E. P. Ippen, E. B. Gamble, L. R. Williams, K. A. Nelson, Chem. Phys. Lett. 116, 146 (1985).
[CrossRef]

1982 (1)

U. Killatt, G. Rabe, W. Rave, Fiber Integrated Opt. 4, 159 (1982).
[CrossRef]

1980 (1)

A. Hasegawa, W. F. Brinkman, IEEE J. Quantum Electron. QE-16, 694 (1980).
[CrossRef]

1971 (1)

H. Dammann, K. Gortler, Opt. Commun. 3, 312 (1971).
[CrossRef]

Brinkman, W. F.

A. Hasegawa, W. F. Brinkman, IEEE J. Quantum Electron. QE-16, 694 (1980).
[CrossRef]

Cheng, L.-T.

Y.-X. Yan, L.-T. Cheng, K. A. Nelson, in Advances in Nonlinear Spectroscopy, R. J. H. Clark, R. E. Hester, eds. (Wiley, Chichester, UK, 1988).

Chernikov, S. V.

Colombeau, B.

C. Froehly, B. Colombeau, M. Vampouille, in Progress in Optics XX, E. Wolf, ed. (North-Holland, Amsterdam, 1983), pp. 65–153.

Dammann, H.

H. Dammann, K. Gortler, Opt. Commun. 3, 312 (1971).
[CrossRef]

DeSilvestri, S.

S. DeSilvestri, J. G. Fujimoto, E. P. Ippen, E. B. Gamble, L. R. Williams, K. A. Nelson, Chem. Phys. Lett. 116, 146 (1985).
[CrossRef]

Dianov, E. M.

Fallon, M. E.

Fork, R. L.

Froehly, C.

C. Froehly, B. Colombeau, M. Vampouille, in Progress in Optics XX, E. Wolf, ed. (North-Holland, Amsterdam, 1983), pp. 65–153.

Fujimoto, J. G.

S. DeSilvestri, J. G. Fujimoto, E. P. Ippen, E. B. Gamble, L. R. Williams, K. A. Nelson, Chem. Phys. Lett. 116, 146 (1985).
[CrossRef]

Gamble, E. B.

S. DeSilvestri, J. G. Fujimoto, E. P. Ippen, E. B. Gamble, L. R. Williams, K. A. Nelson, Chem. Phys. Lett. 116, 146 (1985).
[CrossRef]

Gordon, J. P.

Gortler, K.

H. Dammann, K. Gortler, Opt. Commun. 3, 312 (1971).
[CrossRef]

Gouveia-Neto, A. S.

Hasegawa, A.

K. Tai, A. Tomita, J. L. Jewell, A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[CrossRef]

A. Hasegawa, W. F. Brinkman, IEEE J. Quantum Electron. QE-16, 694 (1980).
[CrossRef]

Haus, H. A.

M. Nakazawa, K. Suzuki, H. A. Haus, “The modulational instability laser: Part I. Experiment,” IEEE J. Quantum Electron. (to be published).

Hawkins, R. J.

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Heritage, J. P.

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

A. M. Weiner, J. P. Heritage, E. M. Kirschner, J. Opt. Soc. Am. B 5, 1566 (1988).

A. M. Weiner, J. P. Heritage, J. A. Salehi, Opt. Lett. 13, 300 (1988).
[CrossRef] [PubMed]

Hjelmstad, J. F.

R. Skaug, J. F. Hjelmstad, Spread Spectrum in Communications (Peregrinus, London, 1985).
[CrossRef]

Ippen, E. P.

S. DeSilvestri, J. G. Fujimoto, E. P. Ippen, E. B. Gamble, L. R. Williams, K. A. Nelson, Chem. Phys. Lett. 116, 146 (1985).
[CrossRef]

Jewell, J. L.

K. Tai, A. Tomita, J. L. Jewell, A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[CrossRef]

Killatt, U.

U. Killatt, G. Rabe, W. Rave, Fiber Integrated Opt. 4, 159 (1982).
[CrossRef]

Kirschner, E. M.

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

A. M. Weiner, J. P. Heritage, E. M. Kirschner, J. Opt. Soc. Am. B 5, 1566 (1988).

Kobayashi, T.

T. Kobayashi, A. Morimoto, in OSA Proceedings on Picosecond Electronics and Optoelectronics, T. C. L. G. Sollner, D. M. Bloom, eds. (Optical Society of America, Washington, D.C., 1989), p. 81.

Leaird, D. E.

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

A. M. Weiner, D. E. Leaird, G. P. Wiederrecht, K. A. Nelson, “Femtosecond pulse sequences used for optical manipulation of molecular motion,” submitted to Science.

Mamyshev, P. V.

Morimoto, A.

T. Kobayashi, A. Morimoto, in OSA Proceedings on Picosecond Electronics and Optoelectronics, T. C. L. G. Sollner, D. M. Bloom, eds. (Optical Society of America, Washington, D.C., 1989), p. 81.

Nakazawa, M.

M. Nakazawa, K. Suzuki, H. A. Haus, “The modulational instability laser: Part I. Experiment,” IEEE J. Quantum Electron. (to be published).

Nelson, K. A.

S. DeSilvestri, J. G. Fujimoto, E. P. Ippen, E. B. Gamble, L. R. Williams, K. A. Nelson, Chem. Phys. Lett. 116, 146 (1985).
[CrossRef]

Y.-X. Yan, L.-T. Cheng, K. A. Nelson, in Advances in Nonlinear Spectroscopy, R. J. H. Clark, R. E. Hester, eds. (Wiley, Chichester, UK, 1988).

A. M. Weiner, D. E. Leaird, G. P. Wiederrecht, K. A. Nelson, “Femtosecond pulse sequences used for optical manipulation of molecular motion,” submitted to Science.

Prokhorov, A. M.

Rabe, G.

U. Killatt, G. Rabe, W. Rave, Fiber Integrated Opt. 4, 159 (1982).
[CrossRef]

Rave, W.

U. Killatt, G. Rabe, W. Rave, Fiber Integrated Opt. 4, 159 (1982).
[CrossRef]

Salehi, J. A.

Schroeder, M. R.

M. R. Schroeder, Number Theory in Science and Communication (Springer-Verlag, Berlin, 1986).

Sizer, T.

T. Sizer, IEEE J. Quantum Electron. 25, 97 (1989).
[CrossRef]

Skaug, R.

R. Skaug, J. F. Hjelmstad, Spread Spectrum in Communications (Peregrinus, London, 1985).
[CrossRef]

Sombra, A. S. B.

Suzuki, K.

M. Nakazawa, K. Suzuki, H. A. Haus, “The modulational instability laser: Part I. Experiment,” IEEE J. Quantum Electron. (to be published).

Tai, K.

K. Tai, A. Tomita, J. L. Jewell, A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[CrossRef]

Taylor, J. R.

Thurston, R. N.

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Tomita, A.

K. Tai, A. Tomita, J. L. Jewell, A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[CrossRef]

Tomlinson, W. J.

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Valdmanis, J. A.

Vampouille, M.

C. Froehly, B. Colombeau, M. Vampouille, in Progress in Optics XX, E. Wolf, ed. (North-Holland, Amsterdam, 1983), pp. 65–153.

Weiner, A. M.

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

A. M. Weiner, J. P. Heritage, J. A. Salehi, Opt. Lett. 13, 300 (1988).
[CrossRef] [PubMed]

A. M. Weiner, J. P. Heritage, E. M. Kirschner, J. Opt. Soc. Am. B 5, 1566 (1988).

A. M. Weiner, D. E. Leaird, G. P. Wiederrecht, K. A. Nelson, “Femtosecond pulse sequences used for optical manipulation of molecular motion,” submitted to Science.

Wiederrecht, G. P.

A. M. Weiner, D. E. Leaird, G. P. Wiederrecht, K. A. Nelson, “Femtosecond pulse sequences used for optical manipulation of molecular motion,” submitted to Science.

Wigley, P. G.

Williams, L. R.

S. DeSilvestri, J. G. Fujimoto, E. P. Ippen, E. B. Gamble, L. R. Williams, K. A. Nelson, Chem. Phys. Lett. 116, 146 (1985).
[CrossRef]

Yan, Y.-X.

Y.-X. Yan, L.-T. Cheng, K. A. Nelson, in Advances in Nonlinear Spectroscopy, R. J. H. Clark, R. E. Hester, eds. (Wiley, Chichester, UK, 1988).

Appl. Phys. Lett. (1)

K. Tai, A. Tomita, J. L. Jewell, A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[CrossRef]

Chem. Phys. Lett. (1)

S. DeSilvestri, J. G. Fujimoto, E. P. Ippen, E. B. Gamble, L. R. Williams, K. A. Nelson, Chem. Phys. Lett. 116, 146 (1985).
[CrossRef]

Fiber Integrated Opt. (1)

U. Killatt, G. Rabe, W. Rave, Fiber Integrated Opt. 4, 159 (1982).
[CrossRef]

IEEE J. Quantum Electron. (2)

A. Hasegawa, W. F. Brinkman, IEEE J. Quantum Electron. QE-16, 694 (1980).
[CrossRef]

T. Sizer, IEEE J. Quantum Electron. 25, 97 (1989).
[CrossRef]

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

A. M. Weiner, J. P. Heritage, E. M. Kirschner, J. Opt. Soc. Am. B 5, 1566 (1988).

Opt. Commun. (1)

H. Dammann, K. Gortler, Opt. Commun. 3, 312 (1971).
[CrossRef]

Opt. Lett. (4)

Phys. Rev. Lett. (1)

A. M. Weiner, J. P. Heritage, R. J. Hawkins, R. N. Thurston, E. M. Kirschner, D. E. Leaird, W. J. Tomlinson, Phys. Rev. Lett. 61, 2445 (1988).
[CrossRef] [PubMed]

Other (7)

M. R. Schroeder, Number Theory in Science and Communication (Springer-Verlag, Berlin, 1986).

R. Skaug, J. F. Hjelmstad, Spread Spectrum in Communications (Peregrinus, London, 1985).
[CrossRef]

Y.-X. Yan, L.-T. Cheng, K. A. Nelson, in Advances in Nonlinear Spectroscopy, R. J. H. Clark, R. E. Hester, eds. (Wiley, Chichester, UK, 1988).

A. M. Weiner, D. E. Leaird, G. P. Wiederrecht, K. A. Nelson, “Femtosecond pulse sequences used for optical manipulation of molecular motion,” submitted to Science.

M. Nakazawa, K. Suzuki, H. A. Haus, “The modulational instability laser: Part I. Experiment,” IEEE J. Quantum Electron. (to be published).

C. Froehly, B. Colombeau, M. Vampouille, in Progress in Optics XX, E. Wolf, ed. (North-Holland, Amsterdam, 1983), pp. 65–153.

T. Kobayashi, A. Morimoto, in OSA Proceedings on Picosecond Electronics and Optoelectronics, T. C. L. G. Sollner, D. M. Bloom, eds. (Optical Society of America, Washington, D.C., 1989), p. 81.

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Figures (3)

Fig. 1
Fig. 1

Generation of high-repetition-rate pulse trains by spectral filtering: (a) input spectrum, (b) amplitude filter, (c) phase filter. For the phase filter, the various shaded rectangles denote different phases.

Fig. 2
Fig. 2

Cross-correlation measurements of (A) 4.0-THz and (B) 5.85-THz pulse trains produced by phase-only filtering. For both traces the phase difference was δϕ = 0.84π.

Fig. 3
Fig. 3

Cross-correlation measurements of flat-topped, 2.5-THz pulse trains produced by phase-only filtering with (A) δϕ = π and (B) δϕ = 0.85π.

Equations (1)

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I ( t ) = ( 1 / 2 π ) 2 d Ω exp ( i Ω t ) d ω E * ( ω ) E ( ω + Ω ) .

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