Abstract

We propose to use a low-frequency radiation in addition to the basic pump to enhance the efficiency of high-order harmonic generation following atom tunnel above-threshold ionization. This enhancement can be achieved without an increase of basic pump intensity and, consequently, without additional saturation of ionization. A static field added to the basic pump modifies photoelectron trajectories in the continuum that leads to a high-frequency extension of harmonic spectrum. This is caused by an increase in the part of recombining photoelectrons, kinetic energy of such electrons, and recombination efficiency (owing to reduced electron wave-packet spreading). An experimental realization of this effect is proposed with use of the radiation of a powerful CO2 laser and ultrashort basic pump pulses. It is shown that the maximum-generated frequency can be tripled with this technique. Also, a multiplateau structure of the high-frequency region of the harmonic spectrum has been revealed and explained.

© 2000 Optical Society of America

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  1. F. Giammanco, P. Ceccherini, C. Tagliavini, M. Malvezzi, P. Villoresi, and G. Tondello, “Coherent VUV radiation by harmonic conversion of mixed fields in gases,” Laser Phys. 7, 22–31 (1997).
  2. F. Giammanco and P. Ceccherini, “Amplification of harmonics generated by wave mixing,” Laser Phys. 8, 593–598 (1998).
  3. S. Watanabe, K. Kondo, Y. Nabekawa, A. Sagisaka, and Y. Kobayashi, “Two-color phase control in tunneling ionization and harmonic generation by a strong laser field and its third harmonic,” Phys. Rev. Lett. 73, 2692–2695 (1994).
    [Crossref] [PubMed]
  4. M. D. Perry and J. K. Crane, “High-order harmonic emission from mixed fields,” Phys. Rev. A 48, R4051–R4054 (1993).
    [Crossref]
  5. X.-M. Tong and S.-I Chu, “Generation of circularly polarized multiple high-order harmonic emission from two-color crossed laser beams,” Phys. Rev. A 58, R2656–R2659 (1998).
    [Crossref]
  6. N. Yu. Shubin, “Spectra of short-wavelength radiation by atoms with pumping fields of complex structure,” in Abstracts of Reports at the 15th Conference on Fundamental Atomic Spectroscopy (Lebedev Institute of Physics RAS, Moscow, Russia, 1996), p. 29.
  7. R. V. Kulyagin, N. Yu. Shubin, and V. D. Taranukhin, “Tunnel above-threshold ionization, photoelectron rescattering and generation of short-wavelength radiation by atoms with complex laser field pumping,” in Technical Digest of the 16th International Conference on Coherent and Nonlinear Optics (URSS Publishers, Moscow, Russia, 1998), p. 297.
  8. R. V. Kulyagin, V. D. Taranukhin, and N. Yu. Shubin, “High-order harmonic generation by atoms with bichromatic laser fields,” in Abstracts of Reports at the 16th Conference on Fundamental Atomic Spectroscopy (Lebedev Institute of Physics RAS, Moscow, Russia, 1998), pp. 67–68.
  9. M. Bao and A. F. Starace, “Static-electric-field effect on high harmonic generation,” Phys. Rev. A 53, R3723–R3726 (1996).
    [Crossref]
  10. A. Lohr, W. Becker, and M. Kleber, “High-harmonic generation affected by static electric field,” Laser Phys. 7, 615–622 (1997).
  11. S. Long, W. Becker, and J. K. McIver, “Model calculation of polarization-dependent two-color high-harmonic generation,” Phys. Rev. A 52, 2262–2278 (1995).
    [Crossref] [PubMed]
  12. R. V. Kulyagin and V. D. Taranukhin, “Generation of x-ray radiation by atoms in an ultra-high intensity laser field,” Quantum Electron. 26, 866–870 (1996).
    [Crossref]
  13. E. Mevel, P. Breger, R. Trainham, G. Petite, and P. Agostini, “Atoms in strong optical fields: evolution from multiphoton to tunnel ionization,” Phys. Rev. Lett. 70, 406–409 (1993).
    [Crossref] [PubMed]
  14. J. B. Watson, A. Sanpera, and K. Burnett, “Pulse-shape effects and blueshifting in the single-atom harmonic generation from neutral species and ions,” Phys. Rev. A 51, 1458–1463 (1995).
    [Crossref] [PubMed]
  15. M. Lewenstein, Ph. Balcou, M. Yu. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of high-harmonic generation by low-frequency laser fields,” Phys. Rev. A 49, 2117–2132 (1994).
    [Crossref] [PubMed]
  16. R. V. Kulyagin and V. D. Taranukhin, “Features of high-harmonic generation by atoms at superintense and ultrashort laser pumping,” Laser Phys. 7, 623–626 (1997).
  17. V. M. Vainberg, V. D. Mur, V. S. Popov, and A. V. Sergeev, “Hydrogen atom in a strong static field,” Zh. Eksp. Teor. Fiz. 93, 450–462 (1987) [Sov. Phys. JETP 66, 258–270 (1987)].
  18. A. M. Perelomov, V. S. Popov, and M. V. Terent’ev, “Ionization of atoms with electric ac fields,” Zh. Eksp. Teor. Fiz. 51, 309–326 (1966) [Sov. Phys. JETP 24, 207–221 (1967)].
  19. P. B. Corkum, N. H. Burnett, and M. Yu. Ivanov, “Subfemtosecond pulses,” Opt. Lett. 19, 1870–1872 (1994).
    [Crossref] [PubMed]
  20. P. B. Corkum, “Plasma perspective on strong-field multiphoton ionization,” Phys. Rev. Lett. 71, 1994–1997 (1993).
    [Crossref] [PubMed]
  21. I. M. Bayanov, R. Danelius, P. Heinz, and A. Seilmeier, “Intense subpicosecond pulses tunable between 4 μm and 20 μm generated in a all-solid-state laser system,” Opt. Commun. 113, 99–104 (1994).
    [Crossref]
  22. V. M. Gordienko, P. M. Mikcheev, and V. I. Pryalkin, “Effective parametric generation of femtosecond IR radiation in a system utilizing properties of group matching,” Quantum Electron. 29, 596–600 (1999).
    [Crossref]

1999 (1)

V. M. Gordienko, P. M. Mikcheev, and V. I. Pryalkin, “Effective parametric generation of femtosecond IR radiation in a system utilizing properties of group matching,” Quantum Electron. 29, 596–600 (1999).
[Crossref]

1998 (2)

F. Giammanco and P. Ceccherini, “Amplification of harmonics generated by wave mixing,” Laser Phys. 8, 593–598 (1998).

X.-M. Tong and S.-I Chu, “Generation of circularly polarized multiple high-order harmonic emission from two-color crossed laser beams,” Phys. Rev. A 58, R2656–R2659 (1998).
[Crossref]

1997 (3)

A. Lohr, W. Becker, and M. Kleber, “High-harmonic generation affected by static electric field,” Laser Phys. 7, 615–622 (1997).

R. V. Kulyagin and V. D. Taranukhin, “Features of high-harmonic generation by atoms at superintense and ultrashort laser pumping,” Laser Phys. 7, 623–626 (1997).

F. Giammanco, P. Ceccherini, C. Tagliavini, M. Malvezzi, P. Villoresi, and G. Tondello, “Coherent VUV radiation by harmonic conversion of mixed fields in gases,” Laser Phys. 7, 22–31 (1997).

1996 (2)

R. V. Kulyagin and V. D. Taranukhin, “Generation of x-ray radiation by atoms in an ultra-high intensity laser field,” Quantum Electron. 26, 866–870 (1996).
[Crossref]

M. Bao and A. F. Starace, “Static-electric-field effect on high harmonic generation,” Phys. Rev. A 53, R3723–R3726 (1996).
[Crossref]

1995 (2)

S. Long, W. Becker, and J. K. McIver, “Model calculation of polarization-dependent two-color high-harmonic generation,” Phys. Rev. A 52, 2262–2278 (1995).
[Crossref] [PubMed]

J. B. Watson, A. Sanpera, and K. Burnett, “Pulse-shape effects and blueshifting in the single-atom harmonic generation from neutral species and ions,” Phys. Rev. A 51, 1458–1463 (1995).
[Crossref] [PubMed]

1994 (4)

M. Lewenstein, Ph. Balcou, M. Yu. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of high-harmonic generation by low-frequency laser fields,” Phys. Rev. A 49, 2117–2132 (1994).
[Crossref] [PubMed]

I. M. Bayanov, R. Danelius, P. Heinz, and A. Seilmeier, “Intense subpicosecond pulses tunable between 4 μm and 20 μm generated in a all-solid-state laser system,” Opt. Commun. 113, 99–104 (1994).
[Crossref]

P. B. Corkum, N. H. Burnett, and M. Yu. Ivanov, “Subfemtosecond pulses,” Opt. Lett. 19, 1870–1872 (1994).
[Crossref] [PubMed]

S. Watanabe, K. Kondo, Y. Nabekawa, A. Sagisaka, and Y. Kobayashi, “Two-color phase control in tunneling ionization and harmonic generation by a strong laser field and its third harmonic,” Phys. Rev. Lett. 73, 2692–2695 (1994).
[Crossref] [PubMed]

1993 (3)

M. D. Perry and J. K. Crane, “High-order harmonic emission from mixed fields,” Phys. Rev. A 48, R4051–R4054 (1993).
[Crossref]

E. Mevel, P. Breger, R. Trainham, G. Petite, and P. Agostini, “Atoms in strong optical fields: evolution from multiphoton to tunnel ionization,” Phys. Rev. Lett. 70, 406–409 (1993).
[Crossref] [PubMed]

P. B. Corkum, “Plasma perspective on strong-field multiphoton ionization,” Phys. Rev. Lett. 71, 1994–1997 (1993).
[Crossref] [PubMed]

1987 (1)

V. M. Vainberg, V. D. Mur, V. S. Popov, and A. V. Sergeev, “Hydrogen atom in a strong static field,” Zh. Eksp. Teor. Fiz. 93, 450–462 (1987) [Sov. Phys. JETP 66, 258–270 (1987)].

1966 (1)

A. M. Perelomov, V. S. Popov, and M. V. Terent’ev, “Ionization of atoms with electric ac fields,” Zh. Eksp. Teor. Fiz. 51, 309–326 (1966) [Sov. Phys. JETP 24, 207–221 (1967)].

Agostini, P.

E. Mevel, P. Breger, R. Trainham, G. Petite, and P. Agostini, “Atoms in strong optical fields: evolution from multiphoton to tunnel ionization,” Phys. Rev. Lett. 70, 406–409 (1993).
[Crossref] [PubMed]

Balcou, Ph.

M. Lewenstein, Ph. Balcou, M. Yu. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of high-harmonic generation by low-frequency laser fields,” Phys. Rev. A 49, 2117–2132 (1994).
[Crossref] [PubMed]

Bao, M.

M. Bao and A. F. Starace, “Static-electric-field effect on high harmonic generation,” Phys. Rev. A 53, R3723–R3726 (1996).
[Crossref]

Bayanov, I. M.

I. M. Bayanov, R. Danelius, P. Heinz, and A. Seilmeier, “Intense subpicosecond pulses tunable between 4 μm and 20 μm generated in a all-solid-state laser system,” Opt. Commun. 113, 99–104 (1994).
[Crossref]

Becker, W.

A. Lohr, W. Becker, and M. Kleber, “High-harmonic generation affected by static electric field,” Laser Phys. 7, 615–622 (1997).

S. Long, W. Becker, and J. K. McIver, “Model calculation of polarization-dependent two-color high-harmonic generation,” Phys. Rev. A 52, 2262–2278 (1995).
[Crossref] [PubMed]

Breger, P.

E. Mevel, P. Breger, R. Trainham, G. Petite, and P. Agostini, “Atoms in strong optical fields: evolution from multiphoton to tunnel ionization,” Phys. Rev. Lett. 70, 406–409 (1993).
[Crossref] [PubMed]

Burnett, K.

J. B. Watson, A. Sanpera, and K. Burnett, “Pulse-shape effects and blueshifting in the single-atom harmonic generation from neutral species and ions,” Phys. Rev. A 51, 1458–1463 (1995).
[Crossref] [PubMed]

Burnett, N. H.

Ceccherini, P.

F. Giammanco and P. Ceccherini, “Amplification of harmonics generated by wave mixing,” Laser Phys. 8, 593–598 (1998).

F. Giammanco, P. Ceccherini, C. Tagliavini, M. Malvezzi, P. Villoresi, and G. Tondello, “Coherent VUV radiation by harmonic conversion of mixed fields in gases,” Laser Phys. 7, 22–31 (1997).

Chu, S.-I

X.-M. Tong and S.-I Chu, “Generation of circularly polarized multiple high-order harmonic emission from two-color crossed laser beams,” Phys. Rev. A 58, R2656–R2659 (1998).
[Crossref]

Corkum, P. B.

P. B. Corkum, N. H. Burnett, and M. Yu. Ivanov, “Subfemtosecond pulses,” Opt. Lett. 19, 1870–1872 (1994).
[Crossref] [PubMed]

M. Lewenstein, Ph. Balcou, M. Yu. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of high-harmonic generation by low-frequency laser fields,” Phys. Rev. A 49, 2117–2132 (1994).
[Crossref] [PubMed]

P. B. Corkum, “Plasma perspective on strong-field multiphoton ionization,” Phys. Rev. Lett. 71, 1994–1997 (1993).
[Crossref] [PubMed]

Crane, J. K.

M. D. Perry and J. K. Crane, “High-order harmonic emission from mixed fields,” Phys. Rev. A 48, R4051–R4054 (1993).
[Crossref]

Danelius, R.

I. M. Bayanov, R. Danelius, P. Heinz, and A. Seilmeier, “Intense subpicosecond pulses tunable between 4 μm and 20 μm generated in a all-solid-state laser system,” Opt. Commun. 113, 99–104 (1994).
[Crossref]

Giammanco, F.

F. Giammanco and P. Ceccherini, “Amplification of harmonics generated by wave mixing,” Laser Phys. 8, 593–598 (1998).

F. Giammanco, P. Ceccherini, C. Tagliavini, M. Malvezzi, P. Villoresi, and G. Tondello, “Coherent VUV radiation by harmonic conversion of mixed fields in gases,” Laser Phys. 7, 22–31 (1997).

Gordienko, V. M.

V. M. Gordienko, P. M. Mikcheev, and V. I. Pryalkin, “Effective parametric generation of femtosecond IR radiation in a system utilizing properties of group matching,” Quantum Electron. 29, 596–600 (1999).
[Crossref]

Heinz, P.

I. M. Bayanov, R. Danelius, P. Heinz, and A. Seilmeier, “Intense subpicosecond pulses tunable between 4 μm and 20 μm generated in a all-solid-state laser system,” Opt. Commun. 113, 99–104 (1994).
[Crossref]

Ivanov, M. Yu.

P. B. Corkum, N. H. Burnett, and M. Yu. Ivanov, “Subfemtosecond pulses,” Opt. Lett. 19, 1870–1872 (1994).
[Crossref] [PubMed]

M. Lewenstein, Ph. Balcou, M. Yu. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of high-harmonic generation by low-frequency laser fields,” Phys. Rev. A 49, 2117–2132 (1994).
[Crossref] [PubMed]

Kleber, M.

A. Lohr, W. Becker, and M. Kleber, “High-harmonic generation affected by static electric field,” Laser Phys. 7, 615–622 (1997).

Kobayashi, Y.

S. Watanabe, K. Kondo, Y. Nabekawa, A. Sagisaka, and Y. Kobayashi, “Two-color phase control in tunneling ionization and harmonic generation by a strong laser field and its third harmonic,” Phys. Rev. Lett. 73, 2692–2695 (1994).
[Crossref] [PubMed]

Kondo, K.

S. Watanabe, K. Kondo, Y. Nabekawa, A. Sagisaka, and Y. Kobayashi, “Two-color phase control in tunneling ionization and harmonic generation by a strong laser field and its third harmonic,” Phys. Rev. Lett. 73, 2692–2695 (1994).
[Crossref] [PubMed]

Kulyagin, R. V.

R. V. Kulyagin and V. D. Taranukhin, “Features of high-harmonic generation by atoms at superintense and ultrashort laser pumping,” Laser Phys. 7, 623–626 (1997).

R. V. Kulyagin and V. D. Taranukhin, “Generation of x-ray radiation by atoms in an ultra-high intensity laser field,” Quantum Electron. 26, 866–870 (1996).
[Crossref]

R. V. Kulyagin, N. Yu. Shubin, and V. D. Taranukhin, “Tunnel above-threshold ionization, photoelectron rescattering and generation of short-wavelength radiation by atoms with complex laser field pumping,” in Technical Digest of the 16th International Conference on Coherent and Nonlinear Optics (URSS Publishers, Moscow, Russia, 1998), p. 297.

R. V. Kulyagin, V. D. Taranukhin, and N. Yu. Shubin, “High-order harmonic generation by atoms with bichromatic laser fields,” in Abstracts of Reports at the 16th Conference on Fundamental Atomic Spectroscopy (Lebedev Institute of Physics RAS, Moscow, Russia, 1998), pp. 67–68.

L’Huillier, A.

M. Lewenstein, Ph. Balcou, M. Yu. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of high-harmonic generation by low-frequency laser fields,” Phys. Rev. A 49, 2117–2132 (1994).
[Crossref] [PubMed]

Lewenstein, M.

M. Lewenstein, Ph. Balcou, M. Yu. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of high-harmonic generation by low-frequency laser fields,” Phys. Rev. A 49, 2117–2132 (1994).
[Crossref] [PubMed]

Lohr, A.

A. Lohr, W. Becker, and M. Kleber, “High-harmonic generation affected by static electric field,” Laser Phys. 7, 615–622 (1997).

Long, S.

S. Long, W. Becker, and J. K. McIver, “Model calculation of polarization-dependent two-color high-harmonic generation,” Phys. Rev. A 52, 2262–2278 (1995).
[Crossref] [PubMed]

Malvezzi, M.

F. Giammanco, P. Ceccherini, C. Tagliavini, M. Malvezzi, P. Villoresi, and G. Tondello, “Coherent VUV radiation by harmonic conversion of mixed fields in gases,” Laser Phys. 7, 22–31 (1997).

McIver, J. K.

S. Long, W. Becker, and J. K. McIver, “Model calculation of polarization-dependent two-color high-harmonic generation,” Phys. Rev. A 52, 2262–2278 (1995).
[Crossref] [PubMed]

Mevel, E.

E. Mevel, P. Breger, R. Trainham, G. Petite, and P. Agostini, “Atoms in strong optical fields: evolution from multiphoton to tunnel ionization,” Phys. Rev. Lett. 70, 406–409 (1993).
[Crossref] [PubMed]

Mikcheev, P. M.

V. M. Gordienko, P. M. Mikcheev, and V. I. Pryalkin, “Effective parametric generation of femtosecond IR radiation in a system utilizing properties of group matching,” Quantum Electron. 29, 596–600 (1999).
[Crossref]

Mur, V. D.

V. M. Vainberg, V. D. Mur, V. S. Popov, and A. V. Sergeev, “Hydrogen atom in a strong static field,” Zh. Eksp. Teor. Fiz. 93, 450–462 (1987) [Sov. Phys. JETP 66, 258–270 (1987)].

Nabekawa, Y.

S. Watanabe, K. Kondo, Y. Nabekawa, A. Sagisaka, and Y. Kobayashi, “Two-color phase control in tunneling ionization and harmonic generation by a strong laser field and its third harmonic,” Phys. Rev. Lett. 73, 2692–2695 (1994).
[Crossref] [PubMed]

Perelomov, A. M.

A. M. Perelomov, V. S. Popov, and M. V. Terent’ev, “Ionization of atoms with electric ac fields,” Zh. Eksp. Teor. Fiz. 51, 309–326 (1966) [Sov. Phys. JETP 24, 207–221 (1967)].

Perry, M. D.

M. D. Perry and J. K. Crane, “High-order harmonic emission from mixed fields,” Phys. Rev. A 48, R4051–R4054 (1993).
[Crossref]

Petite, G.

E. Mevel, P. Breger, R. Trainham, G. Petite, and P. Agostini, “Atoms in strong optical fields: evolution from multiphoton to tunnel ionization,” Phys. Rev. Lett. 70, 406–409 (1993).
[Crossref] [PubMed]

Popov, V. S.

V. M. Vainberg, V. D. Mur, V. S. Popov, and A. V. Sergeev, “Hydrogen atom in a strong static field,” Zh. Eksp. Teor. Fiz. 93, 450–462 (1987) [Sov. Phys. JETP 66, 258–270 (1987)].

A. M. Perelomov, V. S. Popov, and M. V. Terent’ev, “Ionization of atoms with electric ac fields,” Zh. Eksp. Teor. Fiz. 51, 309–326 (1966) [Sov. Phys. JETP 24, 207–221 (1967)].

Pryalkin, V. I.

V. M. Gordienko, P. M. Mikcheev, and V. I. Pryalkin, “Effective parametric generation of femtosecond IR radiation in a system utilizing properties of group matching,” Quantum Electron. 29, 596–600 (1999).
[Crossref]

Sagisaka, A.

S. Watanabe, K. Kondo, Y. Nabekawa, A. Sagisaka, and Y. Kobayashi, “Two-color phase control in tunneling ionization and harmonic generation by a strong laser field and its third harmonic,” Phys. Rev. Lett. 73, 2692–2695 (1994).
[Crossref] [PubMed]

Sanpera, A.

J. B. Watson, A. Sanpera, and K. Burnett, “Pulse-shape effects and blueshifting in the single-atom harmonic generation from neutral species and ions,” Phys. Rev. A 51, 1458–1463 (1995).
[Crossref] [PubMed]

Seilmeier, A.

I. M. Bayanov, R. Danelius, P. Heinz, and A. Seilmeier, “Intense subpicosecond pulses tunable between 4 μm and 20 μm generated in a all-solid-state laser system,” Opt. Commun. 113, 99–104 (1994).
[Crossref]

Sergeev, A. V.

V. M. Vainberg, V. D. Mur, V. S. Popov, and A. V. Sergeev, “Hydrogen atom in a strong static field,” Zh. Eksp. Teor. Fiz. 93, 450–462 (1987) [Sov. Phys. JETP 66, 258–270 (1987)].

Shubin, N. Yu.

N. Yu. Shubin, “Spectra of short-wavelength radiation by atoms with pumping fields of complex structure,” in Abstracts of Reports at the 15th Conference on Fundamental Atomic Spectroscopy (Lebedev Institute of Physics RAS, Moscow, Russia, 1996), p. 29.

R. V. Kulyagin, N. Yu. Shubin, and V. D. Taranukhin, “Tunnel above-threshold ionization, photoelectron rescattering and generation of short-wavelength radiation by atoms with complex laser field pumping,” in Technical Digest of the 16th International Conference on Coherent and Nonlinear Optics (URSS Publishers, Moscow, Russia, 1998), p. 297.

R. V. Kulyagin, V. D. Taranukhin, and N. Yu. Shubin, “High-order harmonic generation by atoms with bichromatic laser fields,” in Abstracts of Reports at the 16th Conference on Fundamental Atomic Spectroscopy (Lebedev Institute of Physics RAS, Moscow, Russia, 1998), pp. 67–68.

Starace, A. F.

M. Bao and A. F. Starace, “Static-electric-field effect on high harmonic generation,” Phys. Rev. A 53, R3723–R3726 (1996).
[Crossref]

Tagliavini, C.

F. Giammanco, P. Ceccherini, C. Tagliavini, M. Malvezzi, P. Villoresi, and G. Tondello, “Coherent VUV radiation by harmonic conversion of mixed fields in gases,” Laser Phys. 7, 22–31 (1997).

Taranukhin, V. D.

R. V. Kulyagin and V. D. Taranukhin, “Features of high-harmonic generation by atoms at superintense and ultrashort laser pumping,” Laser Phys. 7, 623–626 (1997).

R. V. Kulyagin and V. D. Taranukhin, “Generation of x-ray radiation by atoms in an ultra-high intensity laser field,” Quantum Electron. 26, 866–870 (1996).
[Crossref]

R. V. Kulyagin, N. Yu. Shubin, and V. D. Taranukhin, “Tunnel above-threshold ionization, photoelectron rescattering and generation of short-wavelength radiation by atoms with complex laser field pumping,” in Technical Digest of the 16th International Conference on Coherent and Nonlinear Optics (URSS Publishers, Moscow, Russia, 1998), p. 297.

R. V. Kulyagin, V. D. Taranukhin, and N. Yu. Shubin, “High-order harmonic generation by atoms with bichromatic laser fields,” in Abstracts of Reports at the 16th Conference on Fundamental Atomic Spectroscopy (Lebedev Institute of Physics RAS, Moscow, Russia, 1998), pp. 67–68.

Terent’ev, M. V.

A. M. Perelomov, V. S. Popov, and M. V. Terent’ev, “Ionization of atoms with electric ac fields,” Zh. Eksp. Teor. Fiz. 51, 309–326 (1966) [Sov. Phys. JETP 24, 207–221 (1967)].

Tondello, G.

F. Giammanco, P. Ceccherini, C. Tagliavini, M. Malvezzi, P. Villoresi, and G. Tondello, “Coherent VUV radiation by harmonic conversion of mixed fields in gases,” Laser Phys. 7, 22–31 (1997).

Tong, X.-M.

X.-M. Tong and S.-I Chu, “Generation of circularly polarized multiple high-order harmonic emission from two-color crossed laser beams,” Phys. Rev. A 58, R2656–R2659 (1998).
[Crossref]

Trainham, R.

E. Mevel, P. Breger, R. Trainham, G. Petite, and P. Agostini, “Atoms in strong optical fields: evolution from multiphoton to tunnel ionization,” Phys. Rev. Lett. 70, 406–409 (1993).
[Crossref] [PubMed]

Vainberg, V. M.

V. M. Vainberg, V. D. Mur, V. S. Popov, and A. V. Sergeev, “Hydrogen atom in a strong static field,” Zh. Eksp. Teor. Fiz. 93, 450–462 (1987) [Sov. Phys. JETP 66, 258–270 (1987)].

Villoresi, P.

F. Giammanco, P. Ceccherini, C. Tagliavini, M. Malvezzi, P. Villoresi, and G. Tondello, “Coherent VUV radiation by harmonic conversion of mixed fields in gases,” Laser Phys. 7, 22–31 (1997).

Watanabe, S.

S. Watanabe, K. Kondo, Y. Nabekawa, A. Sagisaka, and Y. Kobayashi, “Two-color phase control in tunneling ionization and harmonic generation by a strong laser field and its third harmonic,” Phys. Rev. Lett. 73, 2692–2695 (1994).
[Crossref] [PubMed]

Watson, J. B.

J. B. Watson, A. Sanpera, and K. Burnett, “Pulse-shape effects and blueshifting in the single-atom harmonic generation from neutral species and ions,” Phys. Rev. A 51, 1458–1463 (1995).
[Crossref] [PubMed]

Laser Phys. (4)

F. Giammanco, P. Ceccherini, C. Tagliavini, M. Malvezzi, P. Villoresi, and G. Tondello, “Coherent VUV radiation by harmonic conversion of mixed fields in gases,” Laser Phys. 7, 22–31 (1997).

F. Giammanco and P. Ceccherini, “Amplification of harmonics generated by wave mixing,” Laser Phys. 8, 593–598 (1998).

A. Lohr, W. Becker, and M. Kleber, “High-harmonic generation affected by static electric field,” Laser Phys. 7, 615–622 (1997).

R. V. Kulyagin and V. D. Taranukhin, “Features of high-harmonic generation by atoms at superintense and ultrashort laser pumping,” Laser Phys. 7, 623–626 (1997).

Opt. Commun. (1)

I. M. Bayanov, R. Danelius, P. Heinz, and A. Seilmeier, “Intense subpicosecond pulses tunable between 4 μm and 20 μm generated in a all-solid-state laser system,” Opt. Commun. 113, 99–104 (1994).
[Crossref]

Opt. Lett. (1)

Phys. Rev. A (6)

M. Bao and A. F. Starace, “Static-electric-field effect on high harmonic generation,” Phys. Rev. A 53, R3723–R3726 (1996).
[Crossref]

J. B. Watson, A. Sanpera, and K. Burnett, “Pulse-shape effects and blueshifting in the single-atom harmonic generation from neutral species and ions,” Phys. Rev. A 51, 1458–1463 (1995).
[Crossref] [PubMed]

M. Lewenstein, Ph. Balcou, M. Yu. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of high-harmonic generation by low-frequency laser fields,” Phys. Rev. A 49, 2117–2132 (1994).
[Crossref] [PubMed]

S. Long, W. Becker, and J. K. McIver, “Model calculation of polarization-dependent two-color high-harmonic generation,” Phys. Rev. A 52, 2262–2278 (1995).
[Crossref] [PubMed]

M. D. Perry and J. K. Crane, “High-order harmonic emission from mixed fields,” Phys. Rev. A 48, R4051–R4054 (1993).
[Crossref]

X.-M. Tong and S.-I Chu, “Generation of circularly polarized multiple high-order harmonic emission from two-color crossed laser beams,” Phys. Rev. A 58, R2656–R2659 (1998).
[Crossref]

Phys. Rev. Lett. (3)

S. Watanabe, K. Kondo, Y. Nabekawa, A. Sagisaka, and Y. Kobayashi, “Two-color phase control in tunneling ionization and harmonic generation by a strong laser field and its third harmonic,” Phys. Rev. Lett. 73, 2692–2695 (1994).
[Crossref] [PubMed]

E. Mevel, P. Breger, R. Trainham, G. Petite, and P. Agostini, “Atoms in strong optical fields: evolution from multiphoton to tunnel ionization,” Phys. Rev. Lett. 70, 406–409 (1993).
[Crossref] [PubMed]

P. B. Corkum, “Plasma perspective on strong-field multiphoton ionization,” Phys. Rev. Lett. 71, 1994–1997 (1993).
[Crossref] [PubMed]

Quantum Electron. (2)

R. V. Kulyagin and V. D. Taranukhin, “Generation of x-ray radiation by atoms in an ultra-high intensity laser field,” Quantum Electron. 26, 866–870 (1996).
[Crossref]

V. M. Gordienko, P. M. Mikcheev, and V. I. Pryalkin, “Effective parametric generation of femtosecond IR radiation in a system utilizing properties of group matching,” Quantum Electron. 29, 596–600 (1999).
[Crossref]

Zh. Eksp. Teor. Fiz. (2)

V. M. Vainberg, V. D. Mur, V. S. Popov, and A. V. Sergeev, “Hydrogen atom in a strong static field,” Zh. Eksp. Teor. Fiz. 93, 450–462 (1987) [Sov. Phys. JETP 66, 258–270 (1987)].

A. M. Perelomov, V. S. Popov, and M. V. Terent’ev, “Ionization of atoms with electric ac fields,” Zh. Eksp. Teor. Fiz. 51, 309–326 (1966) [Sov. Phys. JETP 24, 207–221 (1967)].

Other (3)

N. Yu. Shubin, “Spectra of short-wavelength radiation by atoms with pumping fields of complex structure,” in Abstracts of Reports at the 15th Conference on Fundamental Atomic Spectroscopy (Lebedev Institute of Physics RAS, Moscow, Russia, 1996), p. 29.

R. V. Kulyagin, N. Yu. Shubin, and V. D. Taranukhin, “Tunnel above-threshold ionization, photoelectron rescattering and generation of short-wavelength radiation by atoms with complex laser field pumping,” in Technical Digest of the 16th International Conference on Coherent and Nonlinear Optics (URSS Publishers, Moscow, Russia, 1998), p. 297.

R. V. Kulyagin, V. D. Taranukhin, and N. Yu. Shubin, “High-order harmonic generation by atoms with bichromatic laser fields,” in Abstracts of Reports at the 16th Conference on Fundamental Atomic Spectroscopy (Lebedev Institute of Physics RAS, Moscow, Russia, 1998), pp. 67–68.

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Figures (6)

Fig. 1
Fig. 1

Dependence on the time of ionization t˜0 of (a) combined pump field strength for |R|=0.4, (b) time of photoelectron evolution in the continuum t˜r-t˜0, and (c) kinetic energy of the photoelectron (in units of the ponderomotive potential Uq) at return to the parent ion. I1=4×1014W/cm2: |R|=0, triangles; |R|=0.1, solid curve; |R|=0.4, circles; and |R|=0.6, diamonds.

Fig. 2
Fig. 2

Dependence on the static field strength of the cutoff frequency increase ΔΩ and the part η of photoelectrons recombining at t˜r-t˜0<2π for ionization during the negative half-cycle of the pump field. I1=4×1014W/cm2. Ω0 cutoff frequency at R=0.

Fig. 3
Fig. 3

High-frequency part of the HHG spectra for I1=4×1014W/cm2 and different static field strengths. Ionization during one half-cycle of the pump field is taken into account.

Fig. 4
Fig. 4

High-frequency part of the HHG spectra for I1=4×1014W/cm2 and static field. I, R=0; II, R=0.05, contribution of photoelectrons with t˜r-t˜0<2π is taken into account; and III, R=0.05, contribution of photoelectrons with t˜r-t˜0<8π is taken into account. Ionization during two consequent half-cycles of the pump field is taken into account. Arrows show the values of kinetic energy of the returning photoelectrons in the additional maximums of the kinetic energy dependence on ionization time.

Fig. 5
Fig. 5

Dependence of the cutoff frequency increase on the relative phase (in units of ω2t) of radiation with λ1=0.792 μm and λ2=10.6 μm. Basic pump pulse duration is τ1=7 fs, I1=4×10141016W/cm2. |R|=0.2.

Fig. 6
Fig. 6

HHG spectra for monochromatic and bichromatic pumps. 1, I1=8×1014W/cm2, R=0; 2, I1=1.6×1015W/cm2, R=0; 3, I1=8×1014W/cm2, R=0.2; 4, I2=3.2×1013W/cm2.

Equations (17)

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i|Ψ˙(r, t)=[H^0+H^af (t)]|Ψ(r, t),
|Ψ(r, t)=a(t)|1+dpbp(t)|p,
D(t)=a*(t)0tdt0b[a(t0)]1|r|fr(r-r0, t, t0)×exp-it0tE(p0)dt+ip0r,
IN=23c3 |Dω|2.
a˙(t)=i(Ip+1|Hf|1)a(t)-idpbp(t)1|H^f|p.
a˙(t)=i{Ip+ΔIp[F(t)]}a(t)-W[F(t)]a(t).
a(t)=exp-0tW[F(t)]dt+i0t{Ip+ΔIp[F(t)]}dt.
σ(t)=[σ2(t0)+Vsp2(t-t0)2]1/2,
ddt[V0/(1-V02/c2)1/2]=-F-1c[V0×B]-Zr0r03,
r0(t=t0)=r00,V0(t=t0)=V00,
x¨=sin t˜+R,x(t˜0)=0,x˙(t˜0)=0,
x˙(t˜, t˜0)=-cos t˜+cos t˜0+R(t˜-t˜0),
x(t˜, t˜0)=-sin t˜+sin t˜0+cos t˜0(t˜-t˜0)+[R(t˜-t˜0)2/2].
x(t˜r, t˜0)=0,
x˙(t˜r, t˜0)/t˜0=0.
cos t˜r-cos t˜0+R(t˜r-t˜0)=(t˜r-t˜0)sin t˜r,
sin t˜0+R=0.

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