Abstract

High-harmonic emission is very sensitive to the polarization of a fundamental laser beam. By combining two short perpendicularly polarized pulses with frequencies centered at ω1 and ω2, where (ω1ω2)/ω1 ≪ 1, we can create a pulse with polarization that sweeps from circular through linear back to circular. It is possible to make the duration of the segment of the pulse capable of emitting short-wavelength radiation so small that emission is possible only for a time less than the period of the fundamental.

© 1994 Optical Society of America

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  1. C.-P. Huang, M. T. Asaki, S. Backus, M. M. Murmane, H. C. Kapteyn, H. Nathel, Opt. Lett. 17, 1289 (1992).
    [CrossRef] [PubMed]
  2. A. Stingl, C. Spielman, F. Krausz, R. Szipocs, Opt. Lett. 19, 204 (1994).
    [CrossRef] [PubMed]
  3. See, for example, J. J. Macklin, J. D. Kmetec, C. L. Gordon, Phys. Rev. Lett. 70, 766 (1993); X. F. Li, A. L’Huillier, M. Ferray, L. A. Lompre, G. Mainfray, Phys. Rev. A 39, 5751 (1989).
    [CrossRef] [PubMed]
  4. S. E. Harris, J. J. Macklin, T. W. Hänsch, Opt. Commun. 100, 487 (1993).
    [CrossRef]
  5. P. B. Corkum, Phys. Rev. Lett. 71, 1994 (1993).
    [CrossRef] [PubMed]
  6. M. Lewenstein, P. Balcou, M. Y. Ivanov, A. L’Huillier, P. B. Corkum, Phys. Rev. A 49, 2117 (1994).
    [CrossRef] [PubMed]
  7. H.-J. Hagemann, W. Gudat, C. Kunz, Deutsches Electronen-Synchrotron DESY SR-74/7 (Hamburg, Germany, 1974).
  8. P. Dietrich, N. H. Burnett, M. Yu. Ivanov, P. B. Corkum, Phys. Rev. A 50, 3585 (1994).
    [CrossRef]
  9. C. Froehly, B. Colombeau, M. Vampouille in Progress in Optics XX, E. Wolf, ed. (North-Holland, Amsterdam, 1983), pp. 65–153; A. Weiner, J. P. Heritage, E. M. Kirschner, J. Opt. Soc. Am. B 5, 1563 (1988).
    [CrossRef]
  10. K. S. Budil, P. Salieres, A. L’Huillier, T. Ditmire, M. D. Perry, Phys. Rev. A 48, R3437 (1993).
    [CrossRef] [PubMed]
  11. A. L’Huillier, P. Balcou, S. Candel, K. Schafer, K. Kulander, Phys. Rev. A 46, 2778 (1992).
    [CrossRef]
  12. J. Zhou, C.-P. Huang, C. Shi, M. M. Murnane, H. C. Kapteyn, Opt. Lett. 19, 126 (1994).
    [CrossRef] [PubMed]
  13. P. B. Corkum, V. Taranukhin, E. Constant, presented at International Quantum Electronics Conference, Anaheim, Calif, May 1994.

1994

A. Stingl, C. Spielman, F. Krausz, R. Szipocs, Opt. Lett. 19, 204 (1994).
[CrossRef] [PubMed]

M. Lewenstein, P. Balcou, M. Y. Ivanov, A. L’Huillier, P. B. Corkum, Phys. Rev. A 49, 2117 (1994).
[CrossRef] [PubMed]

P. Dietrich, N. H. Burnett, M. Yu. Ivanov, P. B. Corkum, Phys. Rev. A 50, 3585 (1994).
[CrossRef]

J. Zhou, C.-P. Huang, C. Shi, M. M. Murnane, H. C. Kapteyn, Opt. Lett. 19, 126 (1994).
[CrossRef] [PubMed]

1993

K. S. Budil, P. Salieres, A. L’Huillier, T. Ditmire, M. D. Perry, Phys. Rev. A 48, R3437 (1993).
[CrossRef] [PubMed]

See, for example, J. J. Macklin, J. D. Kmetec, C. L. Gordon, Phys. Rev. Lett. 70, 766 (1993); X. F. Li, A. L’Huillier, M. Ferray, L. A. Lompre, G. Mainfray, Phys. Rev. A 39, 5751 (1989).
[CrossRef] [PubMed]

S. E. Harris, J. J. Macklin, T. W. Hänsch, Opt. Commun. 100, 487 (1993).
[CrossRef]

P. B. Corkum, Phys. Rev. Lett. 71, 1994 (1993).
[CrossRef] [PubMed]

1992

A. L’Huillier, P. Balcou, S. Candel, K. Schafer, K. Kulander, Phys. Rev. A 46, 2778 (1992).
[CrossRef]

C.-P. Huang, M. T. Asaki, S. Backus, M. M. Murmane, H. C. Kapteyn, H. Nathel, Opt. Lett. 17, 1289 (1992).
[CrossRef] [PubMed]

Asaki, M. T.

Backus, S.

Balcou, P.

M. Lewenstein, P. Balcou, M. Y. Ivanov, A. L’Huillier, P. B. Corkum, Phys. Rev. A 49, 2117 (1994).
[CrossRef] [PubMed]

A. L’Huillier, P. Balcou, S. Candel, K. Schafer, K. Kulander, Phys. Rev. A 46, 2778 (1992).
[CrossRef]

Budil, K. S.

K. S. Budil, P. Salieres, A. L’Huillier, T. Ditmire, M. D. Perry, Phys. Rev. A 48, R3437 (1993).
[CrossRef] [PubMed]

Burnett, N. H.

P. Dietrich, N. H. Burnett, M. Yu. Ivanov, P. B. Corkum, Phys. Rev. A 50, 3585 (1994).
[CrossRef]

Candel, S.

A. L’Huillier, P. Balcou, S. Candel, K. Schafer, K. Kulander, Phys. Rev. A 46, 2778 (1992).
[CrossRef]

Colombeau, B.

C. Froehly, B. Colombeau, M. Vampouille in Progress in Optics XX, E. Wolf, ed. (North-Holland, Amsterdam, 1983), pp. 65–153; A. Weiner, J. P. Heritage, E. M. Kirschner, J. Opt. Soc. Am. B 5, 1563 (1988).
[CrossRef]

Constant, E.

P. B. Corkum, V. Taranukhin, E. Constant, presented at International Quantum Electronics Conference, Anaheim, Calif, May 1994.

Corkum, P. B.

P. Dietrich, N. H. Burnett, M. Yu. Ivanov, P. B. Corkum, Phys. Rev. A 50, 3585 (1994).
[CrossRef]

M. Lewenstein, P. Balcou, M. Y. Ivanov, A. L’Huillier, P. B. Corkum, Phys. Rev. A 49, 2117 (1994).
[CrossRef] [PubMed]

P. B. Corkum, Phys. Rev. Lett. 71, 1994 (1993).
[CrossRef] [PubMed]

P. B. Corkum, V. Taranukhin, E. Constant, presented at International Quantum Electronics Conference, Anaheim, Calif, May 1994.

Dietrich, P.

P. Dietrich, N. H. Burnett, M. Yu. Ivanov, P. B. Corkum, Phys. Rev. A 50, 3585 (1994).
[CrossRef]

Ditmire, T.

K. S. Budil, P. Salieres, A. L’Huillier, T. Ditmire, M. D. Perry, Phys. Rev. A 48, R3437 (1993).
[CrossRef] [PubMed]

Froehly, C.

C. Froehly, B. Colombeau, M. Vampouille in Progress in Optics XX, E. Wolf, ed. (North-Holland, Amsterdam, 1983), pp. 65–153; A. Weiner, J. P. Heritage, E. M. Kirschner, J. Opt. Soc. Am. B 5, 1563 (1988).
[CrossRef]

Gordon, C. L.

See, for example, J. J. Macklin, J. D. Kmetec, C. L. Gordon, Phys. Rev. Lett. 70, 766 (1993); X. F. Li, A. L’Huillier, M. Ferray, L. A. Lompre, G. Mainfray, Phys. Rev. A 39, 5751 (1989).
[CrossRef] [PubMed]

Gudat, W.

H.-J. Hagemann, W. Gudat, C. Kunz, Deutsches Electronen-Synchrotron DESY SR-74/7 (Hamburg, Germany, 1974).

Hagemann, H.-J.

H.-J. Hagemann, W. Gudat, C. Kunz, Deutsches Electronen-Synchrotron DESY SR-74/7 (Hamburg, Germany, 1974).

Hänsch, T. W.

S. E. Harris, J. J. Macklin, T. W. Hänsch, Opt. Commun. 100, 487 (1993).
[CrossRef]

Harris, S. E.

S. E. Harris, J. J. Macklin, T. W. Hänsch, Opt. Commun. 100, 487 (1993).
[CrossRef]

Huang, C.-P.

Ivanov, M. Y.

M. Lewenstein, P. Balcou, M. Y. Ivanov, A. L’Huillier, P. B. Corkum, Phys. Rev. A 49, 2117 (1994).
[CrossRef] [PubMed]

Ivanov, M. Yu.

P. Dietrich, N. H. Burnett, M. Yu. Ivanov, P. B. Corkum, Phys. Rev. A 50, 3585 (1994).
[CrossRef]

Kapteyn, H. C.

Kmetec, J. D.

See, for example, J. J. Macklin, J. D. Kmetec, C. L. Gordon, Phys. Rev. Lett. 70, 766 (1993); X. F. Li, A. L’Huillier, M. Ferray, L. A. Lompre, G. Mainfray, Phys. Rev. A 39, 5751 (1989).
[CrossRef] [PubMed]

Krausz, F.

Kulander, K.

A. L’Huillier, P. Balcou, S. Candel, K. Schafer, K. Kulander, Phys. Rev. A 46, 2778 (1992).
[CrossRef]

Kunz, C.

H.-J. Hagemann, W. Gudat, C. Kunz, Deutsches Electronen-Synchrotron DESY SR-74/7 (Hamburg, Germany, 1974).

L’Huillier, A.

M. Lewenstein, P. Balcou, M. Y. Ivanov, A. L’Huillier, P. B. Corkum, Phys. Rev. A 49, 2117 (1994).
[CrossRef] [PubMed]

K. S. Budil, P. Salieres, A. L’Huillier, T. Ditmire, M. D. Perry, Phys. Rev. A 48, R3437 (1993).
[CrossRef] [PubMed]

A. L’Huillier, P. Balcou, S. Candel, K. Schafer, K. Kulander, Phys. Rev. A 46, 2778 (1992).
[CrossRef]

Lewenstein, M.

M. Lewenstein, P. Balcou, M. Y. Ivanov, A. L’Huillier, P. B. Corkum, Phys. Rev. A 49, 2117 (1994).
[CrossRef] [PubMed]

Macklin, J. J.

See, for example, J. J. Macklin, J. D. Kmetec, C. L. Gordon, Phys. Rev. Lett. 70, 766 (1993); X. F. Li, A. L’Huillier, M. Ferray, L. A. Lompre, G. Mainfray, Phys. Rev. A 39, 5751 (1989).
[CrossRef] [PubMed]

S. E. Harris, J. J. Macklin, T. W. Hänsch, Opt. Commun. 100, 487 (1993).
[CrossRef]

Murmane, M. M.

Murnane, M. M.

Nathel, H.

Perry, M. D.

K. S. Budil, P. Salieres, A. L’Huillier, T. Ditmire, M. D. Perry, Phys. Rev. A 48, R3437 (1993).
[CrossRef] [PubMed]

Salieres, P.

K. S. Budil, P. Salieres, A. L’Huillier, T. Ditmire, M. D. Perry, Phys. Rev. A 48, R3437 (1993).
[CrossRef] [PubMed]

Schafer, K.

A. L’Huillier, P. Balcou, S. Candel, K. Schafer, K. Kulander, Phys. Rev. A 46, 2778 (1992).
[CrossRef]

Shi, C.

Spielman, C.

Stingl, A.

Szipocs, R.

Taranukhin, V.

P. B. Corkum, V. Taranukhin, E. Constant, presented at International Quantum Electronics Conference, Anaheim, Calif, May 1994.

Vampouille, M.

C. Froehly, B. Colombeau, M. Vampouille in Progress in Optics XX, E. Wolf, ed. (North-Holland, Amsterdam, 1983), pp. 65–153; A. Weiner, J. P. Heritage, E. M. Kirschner, J. Opt. Soc. Am. B 5, 1563 (1988).
[CrossRef]

Zhou, J.

Opt. Commun.

S. E. Harris, J. J. Macklin, T. W. Hänsch, Opt. Commun. 100, 487 (1993).
[CrossRef]

Opt. Lett.

Phys. Rev. A

K. S. Budil, P. Salieres, A. L’Huillier, T. Ditmire, M. D. Perry, Phys. Rev. A 48, R3437 (1993).
[CrossRef] [PubMed]

A. L’Huillier, P. Balcou, S. Candel, K. Schafer, K. Kulander, Phys. Rev. A 46, 2778 (1992).
[CrossRef]

M. Lewenstein, P. Balcou, M. Y. Ivanov, A. L’Huillier, P. B. Corkum, Phys. Rev. A 49, 2117 (1994).
[CrossRef] [PubMed]

P. Dietrich, N. H. Burnett, M. Yu. Ivanov, P. B. Corkum, Phys. Rev. A 50, 3585 (1994).
[CrossRef]

Phys. Rev. Lett.

See, for example, J. J. Macklin, J. D. Kmetec, C. L. Gordon, Phys. Rev. Lett. 70, 766 (1993); X. F. Li, A. L’Huillier, M. Ferray, L. A. Lompre, G. Mainfray, Phys. Rev. A 39, 5751 (1989).
[CrossRef] [PubMed]

P. B. Corkum, Phys. Rev. Lett. 71, 1994 (1993).
[CrossRef] [PubMed]

Other

C. Froehly, B. Colombeau, M. Vampouille in Progress in Optics XX, E. Wolf, ed. (North-Holland, Amsterdam, 1983), pp. 65–153; A. Weiner, J. P. Heritage, E. M. Kirschner, J. Opt. Soc. Am. B 5, 1563 (1988).
[CrossRef]

H.-J. Hagemann, W. Gudat, C. Kunz, Deutsches Electronen-Synchrotron DESY SR-74/7 (Hamburg, Germany, 1974).

P. B. Corkum, V. Taranukhin, E. Constant, presented at International Quantum Electronics Conference, Anaheim, Calif, May 1994.

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Figures (2)

Fig. 1
Fig. 1

Square modulus of the second derivative of the time-dependent dipole moment plotted for 800-nm light interacting with neon at an intensity of 6 × 1014 W/cm2 as seen through a 200.0-nm-thick silver filter. The fundamental field was taken as E = E0f(t) [cos(ω1t)i +cos(ω2t)j], where f(t) = exp[−(t/T)2], T = 10 periods of the fundamental, and (a) ω2/ω1 = 1.0 and (b) ω2/ω1 = 0.9.

Fig. 2
Fig. 2

Ellipticity dependence of the harmonic emission observed from helium by use of 800-nm light. The data points plot the experimental results, and the solid curve plots the results of the semiclassical theory presented here.

Equations (2)

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E = E 0 f ( t ) [ cos ( ω 1 t ) x + cos ( ω 2 t ) y ] / 2 .
E = E 0 f ( t ) [ cos ( ω t ) cos ( Δ ω t / 2 ) x + sin ( ω t ) sin ( Δ ω t / 2 ) y ] ,

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