Abstract

The problem of obtaining a single attosecond pulse with high-order harmonics generation is considered. A method for producing an exciting light pulse with a time-dependent degree of ellipticity from a one-frequency linearly polarized laser pulse by means of linear optics is suggested. The whole of the field generated with a limited beam of this light in a gas target is calculated in the far zone. For this calculation we use an original method based on the time approach of a theory of high-order harmonic generation. Contrasted and intense (focused) single attosecond soft-x-ray pulses are calculated by suppression of the low-frequency part of the field to as many as 11 harmonics of exciting frequency. The possibility of suppressing the low-frequency part of the field with pinholes is shown.

© 1999 Optical Society of America

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References

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  1. G. Fazkas and C. Toth, “Proposal for attosecond light pulse generation using laser inducted multipleharmonic conversion prosesses in rare gases,” Phys. Lett. A 168, 447 (1992).
    [CrossRef]
  2. Ph. Antoine, A. L’Huillier, and M. Lewenstein, “Attosecond pulse trains using high-order harmonics,” in Proceedings of the 7th International Conference on Multiphoton Processes (Institute of Physics, Bristol, UK, 1997), A6.
  3. V. T. Platonenko and V. V. Strelkov, “Spatiotemporal structure of the combined field of high-order harmonics and generation of attosecond pulses,” Quantum Electron. 27, 779 (1997).
    [CrossRef]
  4. T. Peatross, J. L. Chalupka, and D. D. Meyerhofer, “High-order harmonic generation with an annular laser beam,” Opt. Lett. 19, 942 (1994).
    [CrossRef] [PubMed]
  5. V. T. Platonenko and V. V. Strelkov, “Generation of a single attosecond X-ray pulse,” Quantum Electron. 28, 749 (1998).
    [CrossRef]
  6. P. B. Corkum, N. H. Burnett, and M. Y. Ivanov, “Subfemtosecond pulses,” Opt. Lett. 19, 1870 (1994); M. Y. Ivanov, P. B. Corkum, T. Zuo, and A. Bandrauk, “Routs to control of intense-field harmonic polarizability,” Phys. Rev. Lett. 74, 2933 (1995).
    [CrossRef] [PubMed]
  7. Ph. Antoine, D. B. Milosevic, A. L’Huillier, M. B. Gaarde, P. Salieres, and M. Lewenstein, “Generation of attosecond pulses in macroscopic media,” Phys. Rev. A 56, 4960 (1997).
    [CrossRef]
  8. V. T. Platonenko and V. V. Strelkov, “High-order harmonic generation in an intense laser field (review),” Quantum Electron. 28, 584 (1998).
    [CrossRef]
  9. V. T. Platonenko, “High-order harmonic generation on a leading edge of a laser pulse,” Laser Phys. 6, 1173 (1996).
  10. M. Lewenstein, P. Balcou, M. Y. Ivanov, A. L’Huiller, and P. Corkum, “Theory of high-order harmonic generation by low-frequency laser fields,” Phys. Rev. A 49, 2117 (1994).
    [CrossRef] [PubMed]
  11. P. B. Corkum, “Plasma perspective on strong field multiphoton ionization,” Phys. Rev. Lett. 71, 1994 (1993).
    [CrossRef] [PubMed]
  12. C. Kan, C. E. Capjack, R. Rankin, and N. B. Burnett, “Spectral and temporal structure in high harmonic emission from ionizing atomic gases,” Phys. Rev. A 52, R4336 (1995).
    [CrossRef] [PubMed]

1998 (2)

V. T. Platonenko and V. V. Strelkov, “High-order harmonic generation in an intense laser field (review),” Quantum Electron. 28, 584 (1998).
[CrossRef]

V. T. Platonenko and V. V. Strelkov, “Generation of a single attosecond X-ray pulse,” Quantum Electron. 28, 749 (1998).
[CrossRef]

1997 (2)

Ph. Antoine, D. B. Milosevic, A. L’Huillier, M. B. Gaarde, P. Salieres, and M. Lewenstein, “Generation of attosecond pulses in macroscopic media,” Phys. Rev. A 56, 4960 (1997).
[CrossRef]

V. T. Platonenko and V. V. Strelkov, “Spatiotemporal structure of the combined field of high-order harmonics and generation of attosecond pulses,” Quantum Electron. 27, 779 (1997).
[CrossRef]

1996 (1)

V. T. Platonenko, “High-order harmonic generation on a leading edge of a laser pulse,” Laser Phys. 6, 1173 (1996).

1995 (1)

C. Kan, C. E. Capjack, R. Rankin, and N. B. Burnett, “Spectral and temporal structure in high harmonic emission from ionizing atomic gases,” Phys. Rev. A 52, R4336 (1995).
[CrossRef] [PubMed]

1994 (2)

M. Lewenstein, P. Balcou, M. Y. Ivanov, A. L’Huiller, and P. Corkum, “Theory of high-order harmonic generation by low-frequency laser fields,” Phys. Rev. A 49, 2117 (1994).
[CrossRef] [PubMed]

T. Peatross, J. L. Chalupka, and D. D. Meyerhofer, “High-order harmonic generation with an annular laser beam,” Opt. Lett. 19, 942 (1994).
[CrossRef] [PubMed]

1993 (1)

P. B. Corkum, “Plasma perspective on strong field multiphoton ionization,” Phys. Rev. Lett. 71, 1994 (1993).
[CrossRef] [PubMed]

1992 (1)

G. Fazkas and C. Toth, “Proposal for attosecond light pulse generation using laser inducted multipleharmonic conversion prosesses in rare gases,” Phys. Lett. A 168, 447 (1992).
[CrossRef]

Antoine, Ph.

Ph. Antoine, D. B. Milosevic, A. L’Huillier, M. B. Gaarde, P. Salieres, and M. Lewenstein, “Generation of attosecond pulses in macroscopic media,” Phys. Rev. A 56, 4960 (1997).
[CrossRef]

Balcou, P.

M. Lewenstein, P. Balcou, M. Y. Ivanov, A. L’Huiller, and P. Corkum, “Theory of high-order harmonic generation by low-frequency laser fields,” Phys. Rev. A 49, 2117 (1994).
[CrossRef] [PubMed]

Burnett, N. B.

C. Kan, C. E. Capjack, R. Rankin, and N. B. Burnett, “Spectral and temporal structure in high harmonic emission from ionizing atomic gases,” Phys. Rev. A 52, R4336 (1995).
[CrossRef] [PubMed]

Capjack, C. E.

C. Kan, C. E. Capjack, R. Rankin, and N. B. Burnett, “Spectral and temporal structure in high harmonic emission from ionizing atomic gases,” Phys. Rev. A 52, R4336 (1995).
[CrossRef] [PubMed]

Chalupka, J. L.

Corkum, P.

M. Lewenstein, P. Balcou, M. Y. Ivanov, A. L’Huiller, and P. Corkum, “Theory of high-order harmonic generation by low-frequency laser fields,” Phys. Rev. A 49, 2117 (1994).
[CrossRef] [PubMed]

Corkum, P. B.

P. B. Corkum, “Plasma perspective on strong field multiphoton ionization,” Phys. Rev. Lett. 71, 1994 (1993).
[CrossRef] [PubMed]

Fazkas, G.

G. Fazkas and C. Toth, “Proposal for attosecond light pulse generation using laser inducted multipleharmonic conversion prosesses in rare gases,” Phys. Lett. A 168, 447 (1992).
[CrossRef]

Gaarde, M. B.

Ph. Antoine, D. B. Milosevic, A. L’Huillier, M. B. Gaarde, P. Salieres, and M. Lewenstein, “Generation of attosecond pulses in macroscopic media,” Phys. Rev. A 56, 4960 (1997).
[CrossRef]

Ivanov, M. Y.

M. Lewenstein, P. Balcou, M. Y. Ivanov, A. L’Huiller, and P. Corkum, “Theory of high-order harmonic generation by low-frequency laser fields,” Phys. Rev. A 49, 2117 (1994).
[CrossRef] [PubMed]

Kan, C.

C. Kan, C. E. Capjack, R. Rankin, and N. B. Burnett, “Spectral and temporal structure in high harmonic emission from ionizing atomic gases,” Phys. Rev. A 52, R4336 (1995).
[CrossRef] [PubMed]

L’Huiller, A.

M. Lewenstein, P. Balcou, M. Y. Ivanov, A. L’Huiller, and P. Corkum, “Theory of high-order harmonic generation by low-frequency laser fields,” Phys. Rev. A 49, 2117 (1994).
[CrossRef] [PubMed]

L’Huillier, A.

Ph. Antoine, D. B. Milosevic, A. L’Huillier, M. B. Gaarde, P. Salieres, and M. Lewenstein, “Generation of attosecond pulses in macroscopic media,” Phys. Rev. A 56, 4960 (1997).
[CrossRef]

Lewenstein, M.

Ph. Antoine, D. B. Milosevic, A. L’Huillier, M. B. Gaarde, P. Salieres, and M. Lewenstein, “Generation of attosecond pulses in macroscopic media,” Phys. Rev. A 56, 4960 (1997).
[CrossRef]

M. Lewenstein, P. Balcou, M. Y. Ivanov, A. L’Huiller, and P. Corkum, “Theory of high-order harmonic generation by low-frequency laser fields,” Phys. Rev. A 49, 2117 (1994).
[CrossRef] [PubMed]

Meyerhofer, D. D.

Milosevic, D. B.

Ph. Antoine, D. B. Milosevic, A. L’Huillier, M. B. Gaarde, P. Salieres, and M. Lewenstein, “Generation of attosecond pulses in macroscopic media,” Phys. Rev. A 56, 4960 (1997).
[CrossRef]

Peatross, T.

Platonenko, V. T.

V. T. Platonenko and V. V. Strelkov, “Generation of a single attosecond X-ray pulse,” Quantum Electron. 28, 749 (1998).
[CrossRef]

V. T. Platonenko and V. V. Strelkov, “High-order harmonic generation in an intense laser field (review),” Quantum Electron. 28, 584 (1998).
[CrossRef]

V. T. Platonenko and V. V. Strelkov, “Spatiotemporal structure of the combined field of high-order harmonics and generation of attosecond pulses,” Quantum Electron. 27, 779 (1997).
[CrossRef]

V. T. Platonenko, “High-order harmonic generation on a leading edge of a laser pulse,” Laser Phys. 6, 1173 (1996).

Rankin, R.

C. Kan, C. E. Capjack, R. Rankin, and N. B. Burnett, “Spectral and temporal structure in high harmonic emission from ionizing atomic gases,” Phys. Rev. A 52, R4336 (1995).
[CrossRef] [PubMed]

Salieres, P.

Ph. Antoine, D. B. Milosevic, A. L’Huillier, M. B. Gaarde, P. Salieres, and M. Lewenstein, “Generation of attosecond pulses in macroscopic media,” Phys. Rev. A 56, 4960 (1997).
[CrossRef]

Strelkov, V. V.

V. T. Platonenko and V. V. Strelkov, “High-order harmonic generation in an intense laser field (review),” Quantum Electron. 28, 584 (1998).
[CrossRef]

V. T. Platonenko and V. V. Strelkov, “Generation of a single attosecond X-ray pulse,” Quantum Electron. 28, 749 (1998).
[CrossRef]

V. T. Platonenko and V. V. Strelkov, “Spatiotemporal structure of the combined field of high-order harmonics and generation of attosecond pulses,” Quantum Electron. 27, 779 (1997).
[CrossRef]

Toth, C.

G. Fazkas and C. Toth, “Proposal for attosecond light pulse generation using laser inducted multipleharmonic conversion prosesses in rare gases,” Phys. Lett. A 168, 447 (1992).
[CrossRef]

Laser Phys. (1)

V. T. Platonenko, “High-order harmonic generation on a leading edge of a laser pulse,” Laser Phys. 6, 1173 (1996).

Opt. Lett. (1)

Phys. Lett. A (1)

G. Fazkas and C. Toth, “Proposal for attosecond light pulse generation using laser inducted multipleharmonic conversion prosesses in rare gases,” Phys. Lett. A 168, 447 (1992).
[CrossRef]

Phys. Rev. A (3)

M. Lewenstein, P. Balcou, M. Y. Ivanov, A. L’Huiller, and P. Corkum, “Theory of high-order harmonic generation by low-frequency laser fields,” Phys. Rev. A 49, 2117 (1994).
[CrossRef] [PubMed]

Ph. Antoine, D. B. Milosevic, A. L’Huillier, M. B. Gaarde, P. Salieres, and M. Lewenstein, “Generation of attosecond pulses in macroscopic media,” Phys. Rev. A 56, 4960 (1997).
[CrossRef]

C. Kan, C. E. Capjack, R. Rankin, and N. B. Burnett, “Spectral and temporal structure in high harmonic emission from ionizing atomic gases,” Phys. Rev. A 52, R4336 (1995).
[CrossRef] [PubMed]

Phys. Rev. Lett. (1)

P. B. Corkum, “Plasma perspective on strong field multiphoton ionization,” Phys. Rev. Lett. 71, 1994 (1993).
[CrossRef] [PubMed]

Quantum Electron. (3)

V. T. Platonenko and V. V. Strelkov, “High-order harmonic generation in an intense laser field (review),” Quantum Electron. 28, 584 (1998).
[CrossRef]

V. T. Platonenko and V. V. Strelkov, “Generation of a single attosecond X-ray pulse,” Quantum Electron. 28, 749 (1998).
[CrossRef]

V. T. Platonenko and V. V. Strelkov, “Spatiotemporal structure of the combined field of high-order harmonics and generation of attosecond pulses,” Quantum Electron. 27, 779 (1997).
[CrossRef]

Other (2)

P. B. Corkum, N. H. Burnett, and M. Y. Ivanov, “Subfemtosecond pulses,” Opt. Lett. 19, 1870 (1994); M. Y. Ivanov, P. B. Corkum, T. Zuo, and A. Bandrauk, “Routs to control of intense-field harmonic polarizability,” Phys. Rev. Lett. 74, 2933 (1995).
[CrossRef] [PubMed]

Ph. Antoine, A. L’Huillier, and M. Lewenstein, “Attosecond pulse trains using high-order harmonics,” in Proceedings of the 7th International Conference on Multiphoton Processes (Institute of Physics, Bristol, UK, 1997), A6.

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Figures (5)

Fig. 1
Fig. 1

(a) Square of the field of the initial laser pulse, (b) x and y components of the exiting field.

Fig. 2
Fig. 2

Derivative of the current induced by the exiting field (curve 1) and a generated field in the far zone (curve 2).

Fig. 3
Fig. 3

Spectrum of the field generated under zg=-2z0 in the far zone: (a) at point Zd=2.5z0, (b) at point Zd=7z0.

Fig. 4
Fig. 4

Square of the generated field under (a) zg=-2z0 and Zd=2.5z0, (b) zg=-2z0 and Zd=7z0, (c) zg=2z0 and Zd=5.3z0.

Fig. 5
Fig. 5

Scheme of suppressing LOH’s with pinholes: (a) target, (b) pinholes, (c) detector; (1) exiting laser beam, (2, 2, and 2) LOH beams, (3) HOH beam.

Equations (15)

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

E(t, z, r)
=ix·E0t-n2T, z, r+E0t+n2T, z, r
+iy·E0t-n+1/22T, z, r+E0t+n+1/22T, z, r,
Egen(t, R)=-1c2 1|R-r|tjt-|R-r|c, rd3r,
E˜g=Eg-12π0ΩdΩ1dt1Eg(t1)exp[-iΩ1(t-t1)],
j/t=-emddtΨ|pˆ|Ψ,
1c2j/ti recV02τ03/220dτ×exp[-iIτ/-iΦ(t, τ)](τ0+iτ)5/2t-τtAdt+c.c.,
Φ(t, τ)=12me2c2tt-τA2dt-1τ-iτ0t-τtAdt2,
E0(t, z, ρ)=Eamp z0z0+izω-δω+δ Ω2ω2δ2-(Ω-ω)2δ2×exp-iΩ(t-z)-Ω2cρ2z0+iz dΩδ,
E0=-1cdA0dF,
A0Eampc=3δ exp(-iω0F)(Fδ)3Fδ sin Fδ+i ωδ+3Fδ(Fδ cos Fδ-sin Fδ),
1EampcA0dt=-3 exp(-iωF)(Fδ)3(Fδ cos Fδ-sin Fδ),
F=t-zc-i ρ22c(z0+iz).
c8πF2=V022ω3τ0reNShZd-zg2J0,
Eg=SZd-zgft-Zd-zgc,zgz0+zg2+z02z0(Zd-zg),

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