Abstract

It is shown that a recently proposed technique of molecular modulation can be used to compress mode-locked laser pulses into the subfemtosecond domain. The method relies on driving a molecular oscillation with a periodic pulse train. The coherent molecular motion, in turn, modulates the laser frequency and allows pulse compression by group-velocity dispersion of the same molecular medium.

© 1999 Optical Society of America

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1999

1998

1997

S. E. Harris, Phys. Today 50(7), 36 (1997); M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge U. Press, Cambridge, 1997).
[CrossRef]

S. E. Harris and A. V. Sokolov, Phys. Rev. A 55, R4019 (1997).
[CrossRef]

K. Hakuta, M. Suzuki, M. Katsuragawa, and J. Z. Li, Phys. Rev. Lett. 79, 209 (1997); J. Z. Li, M. Katsuragawa, M. Suzuki, and K. Hakuta, Phys. Rev. A 58, R58 (1998).
[CrossRef]

1996

M. Jain, H. Xia, G. Y. Yin, A. J. Merriam, and S. E. Harris, Phys. Rev. Lett. 77, 4326 (1996).
[CrossRef] [PubMed]

1994

1993

S. Yoshikawa and T. Imasaka, Opt. Commun. 96, 94 (1993); H. Kawano, Y. Hirakawa, and T. Imasaka, IEEE J. Quantum Electron. 34, 260 (1998).
[CrossRef]

1992

Gy. Farcas and Cs. Toth, Phys. Lett. A 168, 447 (1992); S. E. Harris, J. J. Macklin, and T. W. Hänsch, Opt. Commun. 100, 487 (1993); P. Antoine, A. L’Huiller, and M. Lewenstein, Phys. Rev. Lett. 77, 1234 (1996); K. J. Schafer and K. C. Kulander, Phys. Rev. Lett. 78, 638 (1997); I. P. Christov, M. M. Murnane, and H. C. Kapteyn, Phys. Rev. Lett. 78, 1251 (1997).
[CrossRef] [PubMed]

E. M. Belenov, A. V. Nazarkin, and I. P. Prokopovich, Pis’ma Zh. Eksp. Teor. Fiz. 55, 223 (1992); E. M. Belenov, P. G. Kryukov, A. V. Nazarkin, and I. P. Proko-povich, Zh. Eksp. Teor. Fiz. 105, 28 (1994); I. P. Prokopovich and A. A. Khrushckinskii, Laser Phys. 7, 305 (1997).

1990

T. W. Hänsch, Opt. Commun. 80, 71 (1990).
[CrossRef]

1987

1986

O. A. Kocharovskaya, Ya. I. Khanin, and V. B. Tsaregradskii, Sov. J. Quantum Electron. 16, 127 (1986).
[CrossRef]

1953

R. H. Dicke, Phys. Rev. 89, 472 (1953); E. E. Hagenlocker, R. W. Minck, and W. G. Rado, Phys. Rev. 154, 226 (1967); A. Owyoung, Opt. Lett. 2, 91 (1978); I. G. Konovalov, V. B. Morozov, V. G. Tunkin, and A. V. Mikheev, J. Mol. Struct. 348, 41 (1995).
[CrossRef]

Becker, P. C.

Belenov, E. M.

E. M. Belenov, A. V. Nazarkin, and I. P. Prokopovich, Pis’ma Zh. Eksp. Teor. Fiz. 55, 223 (1992); E. M. Belenov, P. G. Kryukov, A. V. Nazarkin, and I. P. Proko-povich, Zh. Eksp. Teor. Fiz. 105, 28 (1994); I. P. Prokopovich and A. A. Khrushckinskii, Laser Phys. 7, 305 (1997).

Brito-Cruz, C. H.

Burnett, N. H.

Christov, I. P.

Corkum, P. B.

DeLucia, F. C.

Demers, J. R.

Dicke, R. H.

R. H. Dicke, Phys. Rev. 89, 472 (1953); E. E. Hagenlocker, R. W. Minck, and W. G. Rado, Phys. Rev. 154, 226 (1967); A. Owyoung, Opt. Lett. 2, 91 (1978); I. G. Konovalov, V. B. Morozov, V. G. Tunkin, and A. V. Mikheev, J. Mol. Struct. 348, 41 (1995).
[CrossRef]

Farcas, Gy.

Gy. Farcas and Cs. Toth, Phys. Lett. A 168, 447 (1992); S. E. Harris, J. J. Macklin, and T. W. Hänsch, Opt. Commun. 100, 487 (1993); P. Antoine, A. L’Huiller, and M. Lewenstein, Phys. Rev. Lett. 77, 1234 (1996); K. J. Schafer and K. C. Kulander, Phys. Rev. Lett. 78, 638 (1997); I. P. Christov, M. M. Murnane, and H. C. Kapteyn, Phys. Rev. Lett. 78, 1251 (1997).
[CrossRef] [PubMed]

Ferencz, K.

Fork, R. L.

Fujimoto, J. G.

Hakuta, K.

K. Hakuta, M. Suzuki, M. Katsuragawa, and J. Z. Li, Phys. Rev. Lett. 79, 209 (1997); J. Z. Li, M. Katsuragawa, M. Suzuki, and K. Hakuta, Phys. Rev. A 58, R58 (1998).
[CrossRef]

Hänsch, T. W.

Th. Udem, J. Reichert, R. Holzwarth, and T. W. Hänsch, Phys. Rev. Lett. 82, 3568 (1999).
[CrossRef]

T. W. Hänsch, Opt. Commun. 80, 71 (1990).
[CrossRef]

Harris, S. E.

A. V. Sokolov, D. D. Yavuz, and S. E. Harris, Opt. Lett. 24, 557 (1999).
[CrossRef]

S. E. Harris and A. V. Sokolov, Phys. Rev. Lett. 81, 2894 (1998).
[CrossRef]

S. E. Harris and A. V. Sokolov, Phys. Rev. A 55, R4019 (1997).
[CrossRef]

S. E. Harris, Phys. Today 50(7), 36 (1997); M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge U. Press, Cambridge, 1997).
[CrossRef]

M. Jain, H. Xia, G. Y. Yin, A. J. Merriam, and S. E. Harris, Phys. Rev. Lett. 77, 4326 (1996).
[CrossRef] [PubMed]

Holzwarth, R.

Th. Udem, J. Reichert, R. Holzwarth, and T. W. Hänsch, Phys. Rev. Lett. 82, 3568 (1999).
[CrossRef]

Huang, C.-P.

Imasaka, T.

S. Yoshikawa and T. Imasaka, Opt. Commun. 96, 94 (1993); H. Kawano, Y. Hirakawa, and T. Imasaka, IEEE J. Quantum Electron. 34, 260 (1998).
[CrossRef]

Ivanov, M. Y.

Jain, M.

M. Jain, H. Xia, G. Y. Yin, A. J. Merriam, and S. E. Harris, Phys. Rev. Lett. 77, 4326 (1996).
[CrossRef] [PubMed]

Kaplan, A. E.

A. E. Kaplan, Phys. Rev. Lett. 73, 1243 (1994); A. E. Kaplan and P. L. Shkolnikov, J. Opt. Soc. Am. B 13, 347 (1996).
[CrossRef] [PubMed]

Kapteyn, H. C.

Katsuragawa, M.

K. Hakuta, M. Suzuki, M. Katsuragawa, and J. Z. Li, Phys. Rev. Lett. 79, 209 (1997); J. Z. Li, M. Katsuragawa, M. Suzuki, and K. Hakuta, Phys. Rev. A 58, R58 (1998).
[CrossRef]

Khanin, Ya. I.

O. A. Kocharovskaya, Ya. I. Khanin, and V. B. Tsaregradskii, Sov. J. Quantum Electron. 16, 127 (1986).
[CrossRef]

Kocharovskaya, O. A.

O. A. Kocharovskaya, Ya. I. Khanin, and V. B. Tsaregradskii, Sov. J. Quantum Electron. 16, 127 (1986).
[CrossRef]

Krausz, F.

Li, J. Z.

K. Hakuta, M. Suzuki, M. Katsuragawa, and J. Z. Li, Phys. Rev. Lett. 79, 209 (1997); J. Z. Li, M. Katsuragawa, M. Suzuki, and K. Hakuta, Phys. Rev. A 58, R58 (1998).
[CrossRef]

Merriam, A. J.

M. Jain, H. Xia, G. Y. Yin, A. J. Merriam, and S. E. Harris, Phys. Rev. Lett. 77, 4326 (1996).
[CrossRef] [PubMed]

Murnane, M. M.

Nazarkin, A. V.

E. M. Belenov, A. V. Nazarkin, and I. P. Prokopovich, Pis’ma Zh. Eksp. Teor. Fiz. 55, 223 (1992); E. M. Belenov, P. G. Kryukov, A. V. Nazarkin, and I. P. Proko-povich, Zh. Eksp. Teor. Fiz. 105, 28 (1994); I. P. Prokopovich and A. A. Khrushckinskii, Laser Phys. 7, 305 (1997).

Prokopovich, I. P.

E. M. Belenov, A. V. Nazarkin, and I. P. Prokopovich, Pis’ma Zh. Eksp. Teor. Fiz. 55, 223 (1992); E. M. Belenov, P. G. Kryukov, A. V. Nazarkin, and I. P. Proko-povich, Zh. Eksp. Teor. Fiz. 105, 28 (1994); I. P. Prokopovich and A. A. Khrushckinskii, Laser Phys. 7, 305 (1997).

Ramaswamy-Paye, M.

Reichert, J.

Th. Udem, J. Reichert, R. Holzwarth, and T. W. Hänsch, Phys. Rev. Lett. 82, 3568 (1999).
[CrossRef]

Shank, C. V.

Sokolov, A. V.

A. V. Sokolov, D. D. Yavuz, and S. E. Harris, Opt. Lett. 24, 557 (1999).
[CrossRef]

S. E. Harris and A. V. Sokolov, Phys. Rev. Lett. 81, 2894 (1998).
[CrossRef]

S. E. Harris and A. V. Sokolov, Phys. Rev. A 55, R4019 (1997).
[CrossRef]

Spielmann, Ch.

Stingl, A.

Suzuki, M.

K. Hakuta, M. Suzuki, M. Katsuragawa, and J. Z. Li, Phys. Rev. Lett. 79, 209 (1997); J. Z. Li, M. Katsuragawa, M. Suzuki, and K. Hakuta, Phys. Rev. A 58, R58 (1998).
[CrossRef]

Taft, G.

Takano, S.

Tempea, G.

Toth, Cs.

Gy. Farcas and Cs. Toth, Phys. Lett. A 168, 447 (1992); S. E. Harris, J. J. Macklin, and T. W. Hänsch, Opt. Commun. 100, 487 (1993); P. Antoine, A. L’Huiller, and M. Lewenstein, Phys. Rev. Lett. 77, 1234 (1996); K. J. Schafer and K. C. Kulander, Phys. Rev. Lett. 78, 638 (1997); I. P. Christov, M. M. Murnane, and H. C. Kapteyn, Phys. Rev. Lett. 78, 1251 (1997).
[CrossRef] [PubMed]

Tsaregradskii, V. B.

O. A. Kocharovskaya, Ya. I. Khanin, and V. B. Tsaregradskii, Sov. J. Quantum Electron. 16, 127 (1986).
[CrossRef]

Udem, Th.

Th. Udem, J. Reichert, R. Holzwarth, and T. W. Hänsch, Phys. Rev. Lett. 82, 3568 (1999).
[CrossRef]

Xia, H.

M. Jain, H. Xia, G. Y. Yin, A. J. Merriam, and S. E. Harris, Phys. Rev. Lett. 77, 4326 (1996).
[CrossRef] [PubMed]

Xu, L.

Yavuz, D. D.

Yin, G. Y.

M. Jain, H. Xia, G. Y. Yin, A. J. Merriam, and S. E. Harris, Phys. Rev. Lett. 77, 4326 (1996).
[CrossRef] [PubMed]

Yoshikawa, S.

S. Yoshikawa and T. Imasaka, Opt. Commun. 96, 94 (1993); H. Kawano, Y. Hirakawa, and T. Imasaka, IEEE J. Quantum Electron. 34, 260 (1998).
[CrossRef]

Zhou, J.

Opt. Commun.

T. W. Hänsch, Opt. Commun. 80, 71 (1990).
[CrossRef]

S. Yoshikawa and T. Imasaka, Opt. Commun. 96, 94 (1993); H. Kawano, Y. Hirakawa, and T. Imasaka, IEEE J. Quantum Electron. 34, 260 (1998).
[CrossRef]

Opt. Lett.

Phys. Lett. A

Gy. Farcas and Cs. Toth, Phys. Lett. A 168, 447 (1992); S. E. Harris, J. J. Macklin, and T. W. Hänsch, Opt. Commun. 100, 487 (1993); P. Antoine, A. L’Huiller, and M. Lewenstein, Phys. Rev. Lett. 77, 1234 (1996); K. J. Schafer and K. C. Kulander, Phys. Rev. Lett. 78, 638 (1997); I. P. Christov, M. M. Murnane, and H. C. Kapteyn, Phys. Rev. Lett. 78, 1251 (1997).
[CrossRef] [PubMed]

Phys. Rev.

R. H. Dicke, Phys. Rev. 89, 472 (1953); E. E. Hagenlocker, R. W. Minck, and W. G. Rado, Phys. Rev. 154, 226 (1967); A. Owyoung, Opt. Lett. 2, 91 (1978); I. G. Konovalov, V. B. Morozov, V. G. Tunkin, and A. V. Mikheev, J. Mol. Struct. 348, 41 (1995).
[CrossRef]

Phys. Rev. A

S. E. Harris and A. V. Sokolov, Phys. Rev. A 55, R4019 (1997).
[CrossRef]

Phys. Rev. Lett.

M. Jain, H. Xia, G. Y. Yin, A. J. Merriam, and S. E. Harris, Phys. Rev. Lett. 77, 4326 (1996).
[CrossRef] [PubMed]

Th. Udem, J. Reichert, R. Holzwarth, and T. W. Hänsch, Phys. Rev. Lett. 82, 3568 (1999).
[CrossRef]

K. Hakuta, M. Suzuki, M. Katsuragawa, and J. Z. Li, Phys. Rev. Lett. 79, 209 (1997); J. Z. Li, M. Katsuragawa, M. Suzuki, and K. Hakuta, Phys. Rev. A 58, R58 (1998).
[CrossRef]

S. E. Harris and A. V. Sokolov, Phys. Rev. Lett. 81, 2894 (1998).
[CrossRef]

A. E. Kaplan, Phys. Rev. Lett. 73, 1243 (1994); A. E. Kaplan and P. L. Shkolnikov, J. Opt. Soc. Am. B 13, 347 (1996).
[CrossRef] [PubMed]

Phys. Today

S. E. Harris, Phys. Today 50(7), 36 (1997); M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge U. Press, Cambridge, 1997).
[CrossRef]

Pis’ma Zh. Eksp. Teor. Fiz.

E. M. Belenov, A. V. Nazarkin, and I. P. Prokopovich, Pis’ma Zh. Eksp. Teor. Fiz. 55, 223 (1992); E. M. Belenov, P. G. Kryukov, A. V. Nazarkin, and I. P. Proko-povich, Zh. Eksp. Teor. Fiz. 105, 28 (1994); I. P. Prokopovich and A. A. Khrushckinskii, Laser Phys. 7, 305 (1997).

Sov. J. Quantum Electron.

O. A. Kocharovskaya, Ya. I. Khanin, and V. B. Tsaregradskii, Sov. J. Quantum Electron. 16, 127 (1986).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Schematic of coherent excitation of a molecular oscillation by a periodic pulse train in (a) the frequency domain and (b) the time domain.

Fig. 2
Fig. 2

(a) Optical oscillations Et2 (solid line) and envelope (dashed line) of a femtosecond laser pulse, as modulated by the antiphased molecular oscillation, obtained from the spectrum [equation (4)], with ω0/ωm=22.5, γz=-15, and pulse duration T/3.8. (b) Same pulse after propagation through a normal linear GVD medium of a length given by Eq. (9) of Ref. 3.

Fig. 3
Fig. 3

Subfemtosecond compression of periodic laser pulses by rotational modulation in H2. Laser intensity Et2 (a) at the input of the molecular medium and (b) at the output of the medium. The laser intensity is such that ρab0.05.

Equations (5)

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

Heff=-2ABCD-2Δω,
aq=12iμai2ωi-ωaωi-ωa2-ωq2, dq=12iμbi2ωi-ωbωi-ωb2-ωq2, bq=122iμaiμbi*ωi-ωa-ωq+μaiμbi*ωi-ωb+ωq.
ρab=12sin θ expjφ.
Eqz=-jηωqNaqρaaEq+dqρbbEq+bq*ρabEq-M+bq+Mρab*Eq+M,
Eqz=nEq-Mn0Jnγzexp-jπ2n+β2,

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