Abstract

We theoretically analyze the phase-matching of high-order harmonic generation (HHG) in multi-jet plasmas and find the harmonic orders for which the quasi-phase-matching (QPM) is achieved depending on the parameters of the plasma and the generating beam. HHG by single- and two-color generating fields is analyzed. The QMP is studied experimentally for silver, indium and manganese plasmas using near IR and mid-IR laser fields. The theory is validated by comparison with our experimental observations, as well as published experimental data. In particular, the plasma densities and the harmonic phase coefficients reconstructed from the observed harmonic spectra using our theory agree with the corresponding parameters found using other methods. Our theory allows defining the plasma jet and the generating field properties, which can maximize the HHG efficiency due to QPM.

© 2017 Optical Society of America

Full Article  |  PDF Article

Corrections

25 August 2017: Typographical corrections were made to paragraphs 1, 2, and 5–7 of Section 2.1.


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References

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  1. R. A. Ganeev, M. Suzuki, and H. Kuroda, “Quasi-phase-matching induced enhancement of high-order harmonics during two-color pump of multi-jet plasmas,” J. Phys. At. Mol. Opt. Phys. 47(10), 105401 (2014).
    [Crossref]
  2. A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature 421(6918), 51–54 (2003).
    [Crossref] [PubMed]
  3. J. Seres, V. S. Yakovlev, E. Seres, C. H. Streli, P. Wobrauschek, C. H. Spielmann, and F. Krausz, “Coherent superposition of laser-driven soft-X-ray harmonics from successive sources,” Nat. Phys. 3(12), 878–883 (2007).
    [Crossref]
  4. L. Zheng, X. Chen, S. Tang, and R. Li, “Multiple quasi-phase-matching for enhanced generation of selected high harmonics in aperiodic modulated fibers,” Opt. Express 15(26), 17985–17990 (2007).
    [Crossref] [PubMed]
  5. A. Pirri, C. Corsi, and M. Bellini, “Enhancing the yield of high-order harmonics with an array of gas jets,” Phys. Rev. A 78(1), 011801 (2008).
    [Crossref]
  6. V. Tosa, V. S. Yakovlev, and F. Krausz, “Generation of tunable isolated attosecond pulses in multi-jet systems,” New J. Phys. 10(2), 025016 (2008).
    [Crossref]
  7. T. Fok, Ł. Węgrzyński, M. Kozlova, J. Nejdl, P. W. Wachulak, R. Jarocki, A. Bartnik, and H. Fiedorovicz, “High-order harmonic generation using a multi-jet gas puff target,” Photonics Lett. Pol. 6(1), 14 (2014).
    [Crossref]
  8. R. A. Ganeev, M. Suzuki, and H. Kuroda, “Quasi-phase-matching of high-order harmonics in multiple plasma jets,” Phys. Rev. A 89(3), 033821 (2014).
    [Crossref]
  9. R. A. Ganeev, V. Tosa, K. Kovács, M. Suzuki, S. Yoneya, and H. Kuroda, “Influence of ablated and tunneled electrons on the quasi-phase-matched high-order harmonic generation in laser-produced plasma,” Phys. Rev. A 91(4), 043823 (2015).
    [Crossref]
  10. R. A. Ganeev, “Influence of micro- and macro-processes on the high-order harmonic generation in laser-produced plasma,” J. Appl. Phys. 119(11), 113104 (2016).
    [Crossref]
  11. M. Lewenstein, P. Salières, and A. L’Huillier, “Phase of the atomic polarization in high-order harmonic generation,” Phys. Rev. A 52(6), 4747–4754 (1995).
    [Crossref] [PubMed]
  12. J. Peatross, M. V. Fedorov, and K. C. Kulander, “Intensity-dependent phase-matching effects in harmonic generation,” J. Opt. Soc. Am. B 12(5), 863–870 (1995).
    [Crossref]
  13. C. Kan, C. E. Capjack, R. Rankin, and N. H. Burnett, “Spectral and temporal structure in high harmonic emission from ionizing atomic gases,” Phys. Rev. A 52(6), R4336–R4339 (1995).
    [Crossref] [PubMed]
  14. V. V. Strelkov, “Role of autoionizing state in resonant high-order harmonic generation and attosecond pulse production,” Phys. Rev. A 93(5), 053812 (2016).
    [Crossref]
  15. P. Salières, B. Carré, L. Le Déroff, F. Grasbon, G. G. Paulus, H. Walther, R. Kopold, W. Becker, D. B. Milosevic, A. Sanpera, and M. Lewenstein, “Feynman’s path-integral approach for intense-laser-atom interactions,” Science 292(5518), 902–905 (2001).
    [Crossref] [PubMed]
  16. P. Balcou, A. S. Dederichs, M. B. Gaarde, and A. L’Huillier, “Quantum-path analysis and phase matching of high-order harmonic generation and high-order frequency mixing processes in strong laser fields,” J. Phys. At. Mol. Opt. Phys. 32(12), 2973–2980 (1999).
    [Crossref]
  17. V. V. Strelkov, V. T. Platonenko, A. F. Sterzhantov, and M. Yu. Ryabikin, “Attosecond electromagnetic pulses: generation, measurement, and application. Generation of high-order harmonics of an intense laser field for attosecond pulse production,” Phys. Uspekhi 59(5), 425–445 (2016).
    [Crossref]
  18. Ph. Balcou, P. Salieres, A. L’Huillier, and M. Lewenstein, “Generalized phase-matching conditions for high harmonics: The role of field-gradient forces,” Phys. Rev. A 55(4), 3204–3210 (1997).
    [Crossref]
  19. R. A. Ganeev, A. Husakou, M. Suzuki, and H. Kuroda, “Application of mid-infrared pulses for quasi-phase-matching of high-order harmonics in silver plasma,” Opt. Express 24(4), 3414–3423 (2016).
    [Crossref] [PubMed]
  20. R. A. Ganeev, M. Suzuki, P. V. Redkin, and H. Kuroda, “Quasi-phase-matching of laser harmonics using variable multi-jet plasmas,” J. Nonlinear Opt. Phys. Mater. 23(1), 1450013 (2014).
    [Crossref]
  21. M. B. Gaarde, F. Salin, E. Constant, Ph. Balcou, K. J. Schafer, K. C. Kulander, and A. L’Huillier, “Spatiotemporal separation of high harmonic radiation into two quantum path components,” Phys. Rev. A 59(2), 1367–1373 (1999).
    [Crossref]
  22. M. B. Gaarde and K. J. Schafer, “Quantum path distributions for high-order harmonics in rare gas atoms,” Phys. Rev. A 65(3), 031406 (2002).
    [Crossref]
  23. M. A. Khokhlova and V. V. Strelkov, “Phase properties of the cutoff high-order harmonics,” Phys. Rev. A 93(4), 043416 (2016).
    [Crossref]
  24. J. Tate, T. Auguste, H. G. Muller, P. Salières, P. Agostini, and L. F. DiMauro, “Scaling of wave-packet dynamics in an intense midinfrared field,” Phys. Rev. Lett. 98(1), 013901 (2007).
    [Crossref] [PubMed]
  25. P. Lan, E. J. Takahashi, and K. Midorikawa, “Wavelength scaling of efficient high-order harmonic generation by two-color infrared laser fields,” Phys. Rev. A 81(6), 061802 (2010).
    [Crossref]
  26. R. A. Ganeev, M. Suzuki, M. Baba, H. Kuroda, and T. Ozaki, “Strong resonance enhancement of a single harmonic generated in the extreme ultraviolet range,” Opt. Lett. 31(11), 1699–1701 (2006).
    [Crossref] [PubMed]
  27. R. A. Ganeev, H. Singhal, P. A. Naik, V. Arora, U. Chakravarty, J. A. Chakera, R. A. Khan, I. A. Kulagin, P. V. Redkin, M. Raghuramaiah, and P. D. Gupta, “Harmonic generation from indium-rich plasmas,” Phys. Rev. A 74(6), 063824 (2006).
    [Crossref]
  28. R. A. Ganeev, L. B. E. Bom, J.-C. Kieffer, M. Suzuki, H. Kuroda, and T. Ozaki, “Demonstration of the 101st harmonic generated from laser-produced manganese plasma,” Phys. Rev. A 76(2), 023831 (2007).
    [Crossref]
  29. R. A. Ganeev, M. Baba, M. Suzuki, S. Yoneya, and H. Kuroda, “Low- and high-order harmonic generation in the extended plasmas produced by laser ablation of zinc and manganese targets,” J. Appl. Phys. 116(24), 243102 (2014).
    [Crossref]
  30. R. A. Ganeev, T. Witting, C. Hutchison, F. Frank, M. Tudorovskaya, M. Lein, W. A. Okell, A. Zaïr, J. P. Marangos, and J. W. G. Tisch, “Isolated sub-fs XUV pulse generation in Mn plasma ablation,” Opt. Express 20(23), 25239–25248 (2012).
    [Crossref] [PubMed]
  31. P. B. Corkum, “Plasma perspective on strong field multiphoton ionization,” Phys. Rev. Lett. 71(13), 1994–1997 (1993).
    [Crossref] [PubMed]

2016 (5)

R. A. Ganeev, “Influence of micro- and macro-processes on the high-order harmonic generation in laser-produced plasma,” J. Appl. Phys. 119(11), 113104 (2016).
[Crossref]

V. V. Strelkov, “Role of autoionizing state in resonant high-order harmonic generation and attosecond pulse production,” Phys. Rev. A 93(5), 053812 (2016).
[Crossref]

V. V. Strelkov, V. T. Platonenko, A. F. Sterzhantov, and M. Yu. Ryabikin, “Attosecond electromagnetic pulses: generation, measurement, and application. Generation of high-order harmonics of an intense laser field for attosecond pulse production,” Phys. Uspekhi 59(5), 425–445 (2016).
[Crossref]

R. A. Ganeev, A. Husakou, M. Suzuki, and H. Kuroda, “Application of mid-infrared pulses for quasi-phase-matching of high-order harmonics in silver plasma,” Opt. Express 24(4), 3414–3423 (2016).
[Crossref] [PubMed]

M. A. Khokhlova and V. V. Strelkov, “Phase properties of the cutoff high-order harmonics,” Phys. Rev. A 93(4), 043416 (2016).
[Crossref]

2015 (1)

R. A. Ganeev, V. Tosa, K. Kovács, M. Suzuki, S. Yoneya, and H. Kuroda, “Influence of ablated and tunneled electrons on the quasi-phase-matched high-order harmonic generation in laser-produced plasma,” Phys. Rev. A 91(4), 043823 (2015).
[Crossref]

2014 (5)

R. A. Ganeev, M. Suzuki, P. V. Redkin, and H. Kuroda, “Quasi-phase-matching of laser harmonics using variable multi-jet plasmas,” J. Nonlinear Opt. Phys. Mater. 23(1), 1450013 (2014).
[Crossref]

R. A. Ganeev, M. Baba, M. Suzuki, S. Yoneya, and H. Kuroda, “Low- and high-order harmonic generation in the extended plasmas produced by laser ablation of zinc and manganese targets,” J. Appl. Phys. 116(24), 243102 (2014).
[Crossref]

R. A. Ganeev, M. Suzuki, and H. Kuroda, “Quasi-phase-matching induced enhancement of high-order harmonics during two-color pump of multi-jet plasmas,” J. Phys. At. Mol. Opt. Phys. 47(10), 105401 (2014).
[Crossref]

T. Fok, Ł. Węgrzyński, M. Kozlova, J. Nejdl, P. W. Wachulak, R. Jarocki, A. Bartnik, and H. Fiedorovicz, “High-order harmonic generation using a multi-jet gas puff target,” Photonics Lett. Pol. 6(1), 14 (2014).
[Crossref]

R. A. Ganeev, M. Suzuki, and H. Kuroda, “Quasi-phase-matching of high-order harmonics in multiple plasma jets,” Phys. Rev. A 89(3), 033821 (2014).
[Crossref]

2012 (1)

2010 (1)

P. Lan, E. J. Takahashi, and K. Midorikawa, “Wavelength scaling of efficient high-order harmonic generation by two-color infrared laser fields,” Phys. Rev. A 81(6), 061802 (2010).
[Crossref]

2008 (2)

A. Pirri, C. Corsi, and M. Bellini, “Enhancing the yield of high-order harmonics with an array of gas jets,” Phys. Rev. A 78(1), 011801 (2008).
[Crossref]

V. Tosa, V. S. Yakovlev, and F. Krausz, “Generation of tunable isolated attosecond pulses in multi-jet systems,” New J. Phys. 10(2), 025016 (2008).
[Crossref]

2007 (4)

J. Seres, V. S. Yakovlev, E. Seres, C. H. Streli, P. Wobrauschek, C. H. Spielmann, and F. Krausz, “Coherent superposition of laser-driven soft-X-ray harmonics from successive sources,” Nat. Phys. 3(12), 878–883 (2007).
[Crossref]

L. Zheng, X. Chen, S. Tang, and R. Li, “Multiple quasi-phase-matching for enhanced generation of selected high harmonics in aperiodic modulated fibers,” Opt. Express 15(26), 17985–17990 (2007).
[Crossref] [PubMed]

J. Tate, T. Auguste, H. G. Muller, P. Salières, P. Agostini, and L. F. DiMauro, “Scaling of wave-packet dynamics in an intense midinfrared field,” Phys. Rev. Lett. 98(1), 013901 (2007).
[Crossref] [PubMed]

R. A. Ganeev, L. B. E. Bom, J.-C. Kieffer, M. Suzuki, H. Kuroda, and T. Ozaki, “Demonstration of the 101st harmonic generated from laser-produced manganese plasma,” Phys. Rev. A 76(2), 023831 (2007).
[Crossref]

2006 (2)

R. A. Ganeev, M. Suzuki, M. Baba, H. Kuroda, and T. Ozaki, “Strong resonance enhancement of a single harmonic generated in the extreme ultraviolet range,” Opt. Lett. 31(11), 1699–1701 (2006).
[Crossref] [PubMed]

R. A. Ganeev, H. Singhal, P. A. Naik, V. Arora, U. Chakravarty, J. A. Chakera, R. A. Khan, I. A. Kulagin, P. V. Redkin, M. Raghuramaiah, and P. D. Gupta, “Harmonic generation from indium-rich plasmas,” Phys. Rev. A 74(6), 063824 (2006).
[Crossref]

2003 (1)

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature 421(6918), 51–54 (2003).
[Crossref] [PubMed]

2002 (1)

M. B. Gaarde and K. J. Schafer, “Quantum path distributions for high-order harmonics in rare gas atoms,” Phys. Rev. A 65(3), 031406 (2002).
[Crossref]

2001 (1)

P. Salières, B. Carré, L. Le Déroff, F. Grasbon, G. G. Paulus, H. Walther, R. Kopold, W. Becker, D. B. Milosevic, A. Sanpera, and M. Lewenstein, “Feynman’s path-integral approach for intense-laser-atom interactions,” Science 292(5518), 902–905 (2001).
[Crossref] [PubMed]

1999 (2)

P. Balcou, A. S. Dederichs, M. B. Gaarde, and A. L’Huillier, “Quantum-path analysis and phase matching of high-order harmonic generation and high-order frequency mixing processes in strong laser fields,” J. Phys. At. Mol. Opt. Phys. 32(12), 2973–2980 (1999).
[Crossref]

M. B. Gaarde, F. Salin, E. Constant, Ph. Balcou, K. J. Schafer, K. C. Kulander, and A. L’Huillier, “Spatiotemporal separation of high harmonic radiation into two quantum path components,” Phys. Rev. A 59(2), 1367–1373 (1999).
[Crossref]

1997 (1)

Ph. Balcou, P. Salieres, A. L’Huillier, and M. Lewenstein, “Generalized phase-matching conditions for high harmonics: The role of field-gradient forces,” Phys. Rev. A 55(4), 3204–3210 (1997).
[Crossref]

1995 (3)

M. Lewenstein, P. Salières, and A. L’Huillier, “Phase of the atomic polarization in high-order harmonic generation,” Phys. Rev. A 52(6), 4747–4754 (1995).
[Crossref] [PubMed]

J. Peatross, M. V. Fedorov, and K. C. Kulander, “Intensity-dependent phase-matching effects in harmonic generation,” J. Opt. Soc. Am. B 12(5), 863–870 (1995).
[Crossref]

C. Kan, C. E. Capjack, R. Rankin, and N. H. Burnett, “Spectral and temporal structure in high harmonic emission from ionizing atomic gases,” Phys. Rev. A 52(6), R4336–R4339 (1995).
[Crossref] [PubMed]

1993 (1)

P. B. Corkum, “Plasma perspective on strong field multiphoton ionization,” Phys. Rev. Lett. 71(13), 1994–1997 (1993).
[Crossref] [PubMed]

Agostini, P.

J. Tate, T. Auguste, H. G. Muller, P. Salières, P. Agostini, and L. F. DiMauro, “Scaling of wave-packet dynamics in an intense midinfrared field,” Phys. Rev. Lett. 98(1), 013901 (2007).
[Crossref] [PubMed]

Arora, V.

R. A. Ganeev, H. Singhal, P. A. Naik, V. Arora, U. Chakravarty, J. A. Chakera, R. A. Khan, I. A. Kulagin, P. V. Redkin, M. Raghuramaiah, and P. D. Gupta, “Harmonic generation from indium-rich plasmas,” Phys. Rev. A 74(6), 063824 (2006).
[Crossref]

Auguste, T.

J. Tate, T. Auguste, H. G. Muller, P. Salières, P. Agostini, and L. F. DiMauro, “Scaling of wave-packet dynamics in an intense midinfrared field,” Phys. Rev. Lett. 98(1), 013901 (2007).
[Crossref] [PubMed]

Baba, M.

R. A. Ganeev, M. Baba, M. Suzuki, S. Yoneya, and H. Kuroda, “Low- and high-order harmonic generation in the extended plasmas produced by laser ablation of zinc and manganese targets,” J. Appl. Phys. 116(24), 243102 (2014).
[Crossref]

R. A. Ganeev, M. Suzuki, M. Baba, H. Kuroda, and T. Ozaki, “Strong resonance enhancement of a single harmonic generated in the extreme ultraviolet range,” Opt. Lett. 31(11), 1699–1701 (2006).
[Crossref] [PubMed]

Backus, S.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature 421(6918), 51–54 (2003).
[Crossref] [PubMed]

Balcou, P.

P. Balcou, A. S. Dederichs, M. B. Gaarde, and A. L’Huillier, “Quantum-path analysis and phase matching of high-order harmonic generation and high-order frequency mixing processes in strong laser fields,” J. Phys. At. Mol. Opt. Phys. 32(12), 2973–2980 (1999).
[Crossref]

Balcou, Ph.

M. B. Gaarde, F. Salin, E. Constant, Ph. Balcou, K. J. Schafer, K. C. Kulander, and A. L’Huillier, “Spatiotemporal separation of high harmonic radiation into two quantum path components,” Phys. Rev. A 59(2), 1367–1373 (1999).
[Crossref]

Ph. Balcou, P. Salieres, A. L’Huillier, and M. Lewenstein, “Generalized phase-matching conditions for high harmonics: The role of field-gradient forces,” Phys. Rev. A 55(4), 3204–3210 (1997).
[Crossref]

Bartels, R. A.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature 421(6918), 51–54 (2003).
[Crossref] [PubMed]

Bartnik, A.

T. Fok, Ł. Węgrzyński, M. Kozlova, J. Nejdl, P. W. Wachulak, R. Jarocki, A. Bartnik, and H. Fiedorovicz, “High-order harmonic generation using a multi-jet gas puff target,” Photonics Lett. Pol. 6(1), 14 (2014).
[Crossref]

Becker, W.

P. Salières, B. Carré, L. Le Déroff, F. Grasbon, G. G. Paulus, H. Walther, R. Kopold, W. Becker, D. B. Milosevic, A. Sanpera, and M. Lewenstein, “Feynman’s path-integral approach for intense-laser-atom interactions,” Science 292(5518), 902–905 (2001).
[Crossref] [PubMed]

Bellini, M.

A. Pirri, C. Corsi, and M. Bellini, “Enhancing the yield of high-order harmonics with an array of gas jets,” Phys. Rev. A 78(1), 011801 (2008).
[Crossref]

Bom, L. B. E.

R. A. Ganeev, L. B. E. Bom, J.-C. Kieffer, M. Suzuki, H. Kuroda, and T. Ozaki, “Demonstration of the 101st harmonic generated from laser-produced manganese plasma,” Phys. Rev. A 76(2), 023831 (2007).
[Crossref]

Burnett, N. H.

C. Kan, C. E. Capjack, R. Rankin, and N. H. Burnett, “Spectral and temporal structure in high harmonic emission from ionizing atomic gases,” Phys. Rev. A 52(6), R4336–R4339 (1995).
[Crossref] [PubMed]

Capjack, C. E.

C. Kan, C. E. Capjack, R. Rankin, and N. H. Burnett, “Spectral and temporal structure in high harmonic emission from ionizing atomic gases,” Phys. Rev. A 52(6), R4336–R4339 (1995).
[Crossref] [PubMed]

Carré, B.

P. Salières, B. Carré, L. Le Déroff, F. Grasbon, G. G. Paulus, H. Walther, R. Kopold, W. Becker, D. B. Milosevic, A. Sanpera, and M. Lewenstein, “Feynman’s path-integral approach for intense-laser-atom interactions,” Science 292(5518), 902–905 (2001).
[Crossref] [PubMed]

Chakera, J. A.

R. A. Ganeev, H. Singhal, P. A. Naik, V. Arora, U. Chakravarty, J. A. Chakera, R. A. Khan, I. A. Kulagin, P. V. Redkin, M. Raghuramaiah, and P. D. Gupta, “Harmonic generation from indium-rich plasmas,” Phys. Rev. A 74(6), 063824 (2006).
[Crossref]

Chakravarty, U.

R. A. Ganeev, H. Singhal, P. A. Naik, V. Arora, U. Chakravarty, J. A. Chakera, R. A. Khan, I. A. Kulagin, P. V. Redkin, M. Raghuramaiah, and P. D. Gupta, “Harmonic generation from indium-rich plasmas,” Phys. Rev. A 74(6), 063824 (2006).
[Crossref]

Chen, X.

Christov, I. P.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature 421(6918), 51–54 (2003).
[Crossref] [PubMed]

Constant, E.

M. B. Gaarde, F. Salin, E. Constant, Ph. Balcou, K. J. Schafer, K. C. Kulander, and A. L’Huillier, “Spatiotemporal separation of high harmonic radiation into two quantum path components,” Phys. Rev. A 59(2), 1367–1373 (1999).
[Crossref]

Corkum, P. B.

P. B. Corkum, “Plasma perspective on strong field multiphoton ionization,” Phys. Rev. Lett. 71(13), 1994–1997 (1993).
[Crossref] [PubMed]

Corsi, C.

A. Pirri, C. Corsi, and M. Bellini, “Enhancing the yield of high-order harmonics with an array of gas jets,” Phys. Rev. A 78(1), 011801 (2008).
[Crossref]

Dederichs, A. S.

P. Balcou, A. S. Dederichs, M. B. Gaarde, and A. L’Huillier, “Quantum-path analysis and phase matching of high-order harmonic generation and high-order frequency mixing processes in strong laser fields,” J. Phys. At. Mol. Opt. Phys. 32(12), 2973–2980 (1999).
[Crossref]

DiMauro, L. F.

J. Tate, T. Auguste, H. G. Muller, P. Salières, P. Agostini, and L. F. DiMauro, “Scaling of wave-packet dynamics in an intense midinfrared field,” Phys. Rev. Lett. 98(1), 013901 (2007).
[Crossref] [PubMed]

Fedorov, M. V.

Fiedorovicz, H.

T. Fok, Ł. Węgrzyński, M. Kozlova, J. Nejdl, P. W. Wachulak, R. Jarocki, A. Bartnik, and H. Fiedorovicz, “High-order harmonic generation using a multi-jet gas puff target,” Photonics Lett. Pol. 6(1), 14 (2014).
[Crossref]

Fok, T.

T. Fok, Ł. Węgrzyński, M. Kozlova, J. Nejdl, P. W. Wachulak, R. Jarocki, A. Bartnik, and H. Fiedorovicz, “High-order harmonic generation using a multi-jet gas puff target,” Photonics Lett. Pol. 6(1), 14 (2014).
[Crossref]

Frank, F.

Gaarde, M. B.

M. B. Gaarde and K. J. Schafer, “Quantum path distributions for high-order harmonics in rare gas atoms,” Phys. Rev. A 65(3), 031406 (2002).
[Crossref]

M. B. Gaarde, F. Salin, E. Constant, Ph. Balcou, K. J. Schafer, K. C. Kulander, and A. L’Huillier, “Spatiotemporal separation of high harmonic radiation into two quantum path components,” Phys. Rev. A 59(2), 1367–1373 (1999).
[Crossref]

P. Balcou, A. S. Dederichs, M. B. Gaarde, and A. L’Huillier, “Quantum-path analysis and phase matching of high-order harmonic generation and high-order frequency mixing processes in strong laser fields,” J. Phys. At. Mol. Opt. Phys. 32(12), 2973–2980 (1999).
[Crossref]

Ganeev, R. A.

R. A. Ganeev, “Influence of micro- and macro-processes on the high-order harmonic generation in laser-produced plasma,” J. Appl. Phys. 119(11), 113104 (2016).
[Crossref]

R. A. Ganeev, A. Husakou, M. Suzuki, and H. Kuroda, “Application of mid-infrared pulses for quasi-phase-matching of high-order harmonics in silver plasma,” Opt. Express 24(4), 3414–3423 (2016).
[Crossref] [PubMed]

R. A. Ganeev, V. Tosa, K. Kovács, M. Suzuki, S. Yoneya, and H. Kuroda, “Influence of ablated and tunneled electrons on the quasi-phase-matched high-order harmonic generation in laser-produced plasma,” Phys. Rev. A 91(4), 043823 (2015).
[Crossref]

R. A. Ganeev, M. Suzuki, and H. Kuroda, “Quasi-phase-matching of high-order harmonics in multiple plasma jets,” Phys. Rev. A 89(3), 033821 (2014).
[Crossref]

R. A. Ganeev, M. Suzuki, and H. Kuroda, “Quasi-phase-matching induced enhancement of high-order harmonics during two-color pump of multi-jet plasmas,” J. Phys. At. Mol. Opt. Phys. 47(10), 105401 (2014).
[Crossref]

R. A. Ganeev, M. Suzuki, P. V. Redkin, and H. Kuroda, “Quasi-phase-matching of laser harmonics using variable multi-jet plasmas,” J. Nonlinear Opt. Phys. Mater. 23(1), 1450013 (2014).
[Crossref]

R. A. Ganeev, M. Baba, M. Suzuki, S. Yoneya, and H. Kuroda, “Low- and high-order harmonic generation in the extended plasmas produced by laser ablation of zinc and manganese targets,” J. Appl. Phys. 116(24), 243102 (2014).
[Crossref]

R. A. Ganeev, T. Witting, C. Hutchison, F. Frank, M. Tudorovskaya, M. Lein, W. A. Okell, A. Zaïr, J. P. Marangos, and J. W. G. Tisch, “Isolated sub-fs XUV pulse generation in Mn plasma ablation,” Opt. Express 20(23), 25239–25248 (2012).
[Crossref] [PubMed]

R. A. Ganeev, L. B. E. Bom, J.-C. Kieffer, M. Suzuki, H. Kuroda, and T. Ozaki, “Demonstration of the 101st harmonic generated from laser-produced manganese plasma,” Phys. Rev. A 76(2), 023831 (2007).
[Crossref]

R. A. Ganeev, M. Suzuki, M. Baba, H. Kuroda, and T. Ozaki, “Strong resonance enhancement of a single harmonic generated in the extreme ultraviolet range,” Opt. Lett. 31(11), 1699–1701 (2006).
[Crossref] [PubMed]

R. A. Ganeev, H. Singhal, P. A. Naik, V. Arora, U. Chakravarty, J. A. Chakera, R. A. Khan, I. A. Kulagin, P. V. Redkin, M. Raghuramaiah, and P. D. Gupta, “Harmonic generation from indium-rich plasmas,” Phys. Rev. A 74(6), 063824 (2006).
[Crossref]

Grasbon, F.

P. Salières, B. Carré, L. Le Déroff, F. Grasbon, G. G. Paulus, H. Walther, R. Kopold, W. Becker, D. B. Milosevic, A. Sanpera, and M. Lewenstein, “Feynman’s path-integral approach for intense-laser-atom interactions,” Science 292(5518), 902–905 (2001).
[Crossref] [PubMed]

Green, H.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature 421(6918), 51–54 (2003).
[Crossref] [PubMed]

Gupta, P. D.

R. A. Ganeev, H. Singhal, P. A. Naik, V. Arora, U. Chakravarty, J. A. Chakera, R. A. Khan, I. A. Kulagin, P. V. Redkin, M. Raghuramaiah, and P. D. Gupta, “Harmonic generation from indium-rich plasmas,” Phys. Rev. A 74(6), 063824 (2006).
[Crossref]

Husakou, A.

Hutchison, C.

Jarocki, R.

T. Fok, Ł. Węgrzyński, M. Kozlova, J. Nejdl, P. W. Wachulak, R. Jarocki, A. Bartnik, and H. Fiedorovicz, “High-order harmonic generation using a multi-jet gas puff target,” Photonics Lett. Pol. 6(1), 14 (2014).
[Crossref]

Kan, C.

C. Kan, C. E. Capjack, R. Rankin, and N. H. Burnett, “Spectral and temporal structure in high harmonic emission from ionizing atomic gases,” Phys. Rev. A 52(6), R4336–R4339 (1995).
[Crossref] [PubMed]

Kapteyn, H. C.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature 421(6918), 51–54 (2003).
[Crossref] [PubMed]

Khan, R. A.

R. A. Ganeev, H. Singhal, P. A. Naik, V. Arora, U. Chakravarty, J. A. Chakera, R. A. Khan, I. A. Kulagin, P. V. Redkin, M. Raghuramaiah, and P. D. Gupta, “Harmonic generation from indium-rich plasmas,” Phys. Rev. A 74(6), 063824 (2006).
[Crossref]

Khokhlova, M. A.

M. A. Khokhlova and V. V. Strelkov, “Phase properties of the cutoff high-order harmonics,” Phys. Rev. A 93(4), 043416 (2016).
[Crossref]

Kieffer, J.-C.

R. A. Ganeev, L. B. E. Bom, J.-C. Kieffer, M. Suzuki, H. Kuroda, and T. Ozaki, “Demonstration of the 101st harmonic generated from laser-produced manganese plasma,” Phys. Rev. A 76(2), 023831 (2007).
[Crossref]

Kopold, R.

P. Salières, B. Carré, L. Le Déroff, F. Grasbon, G. G. Paulus, H. Walther, R. Kopold, W. Becker, D. B. Milosevic, A. Sanpera, and M. Lewenstein, “Feynman’s path-integral approach for intense-laser-atom interactions,” Science 292(5518), 902–905 (2001).
[Crossref] [PubMed]

Kovács, K.

R. A. Ganeev, V. Tosa, K. Kovács, M. Suzuki, S. Yoneya, and H. Kuroda, “Influence of ablated and tunneled electrons on the quasi-phase-matched high-order harmonic generation in laser-produced plasma,” Phys. Rev. A 91(4), 043823 (2015).
[Crossref]

Kozlova, M.

T. Fok, Ł. Węgrzyński, M. Kozlova, J. Nejdl, P. W. Wachulak, R. Jarocki, A. Bartnik, and H. Fiedorovicz, “High-order harmonic generation using a multi-jet gas puff target,” Photonics Lett. Pol. 6(1), 14 (2014).
[Crossref]

Krausz, F.

V. Tosa, V. S. Yakovlev, and F. Krausz, “Generation of tunable isolated attosecond pulses in multi-jet systems,” New J. Phys. 10(2), 025016 (2008).
[Crossref]

J. Seres, V. S. Yakovlev, E. Seres, C. H. Streli, P. Wobrauschek, C. H. Spielmann, and F. Krausz, “Coherent superposition of laser-driven soft-X-ray harmonics from successive sources,” Nat. Phys. 3(12), 878–883 (2007).
[Crossref]

Kulagin, I. A.

R. A. Ganeev, H. Singhal, P. A. Naik, V. Arora, U. Chakravarty, J. A. Chakera, R. A. Khan, I. A. Kulagin, P. V. Redkin, M. Raghuramaiah, and P. D. Gupta, “Harmonic generation from indium-rich plasmas,” Phys. Rev. A 74(6), 063824 (2006).
[Crossref]

Kulander, K. C.

M. B. Gaarde, F. Salin, E. Constant, Ph. Balcou, K. J. Schafer, K. C. Kulander, and A. L’Huillier, “Spatiotemporal separation of high harmonic radiation into two quantum path components,” Phys. Rev. A 59(2), 1367–1373 (1999).
[Crossref]

J. Peatross, M. V. Fedorov, and K. C. Kulander, “Intensity-dependent phase-matching effects in harmonic generation,” J. Opt. Soc. Am. B 12(5), 863–870 (1995).
[Crossref]

Kuroda, H.

R. A. Ganeev, A. Husakou, M. Suzuki, and H. Kuroda, “Application of mid-infrared pulses for quasi-phase-matching of high-order harmonics in silver plasma,” Opt. Express 24(4), 3414–3423 (2016).
[Crossref] [PubMed]

R. A. Ganeev, V. Tosa, K. Kovács, M. Suzuki, S. Yoneya, and H. Kuroda, “Influence of ablated and tunneled electrons on the quasi-phase-matched high-order harmonic generation in laser-produced plasma,” Phys. Rev. A 91(4), 043823 (2015).
[Crossref]

R. A. Ganeev, M. Suzuki, and H. Kuroda, “Quasi-phase-matching of high-order harmonics in multiple plasma jets,” Phys. Rev. A 89(3), 033821 (2014).
[Crossref]

R. A. Ganeev, M. Suzuki, and H. Kuroda, “Quasi-phase-matching induced enhancement of high-order harmonics during two-color pump of multi-jet plasmas,” J. Phys. At. Mol. Opt. Phys. 47(10), 105401 (2014).
[Crossref]

R. A. Ganeev, M. Suzuki, P. V. Redkin, and H. Kuroda, “Quasi-phase-matching of laser harmonics using variable multi-jet plasmas,” J. Nonlinear Opt. Phys. Mater. 23(1), 1450013 (2014).
[Crossref]

R. A. Ganeev, M. Baba, M. Suzuki, S. Yoneya, and H. Kuroda, “Low- and high-order harmonic generation in the extended plasmas produced by laser ablation of zinc and manganese targets,” J. Appl. Phys. 116(24), 243102 (2014).
[Crossref]

R. A. Ganeev, L. B. E. Bom, J.-C. Kieffer, M. Suzuki, H. Kuroda, and T. Ozaki, “Demonstration of the 101st harmonic generated from laser-produced manganese plasma,” Phys. Rev. A 76(2), 023831 (2007).
[Crossref]

R. A. Ganeev, M. Suzuki, M. Baba, H. Kuroda, and T. Ozaki, “Strong resonance enhancement of a single harmonic generated in the extreme ultraviolet range,” Opt. Lett. 31(11), 1699–1701 (2006).
[Crossref] [PubMed]

L’Huillier, A.

M. B. Gaarde, F. Salin, E. Constant, Ph. Balcou, K. J. Schafer, K. C. Kulander, and A. L’Huillier, “Spatiotemporal separation of high harmonic radiation into two quantum path components,” Phys. Rev. A 59(2), 1367–1373 (1999).
[Crossref]

P. Balcou, A. S. Dederichs, M. B. Gaarde, and A. L’Huillier, “Quantum-path analysis and phase matching of high-order harmonic generation and high-order frequency mixing processes in strong laser fields,” J. Phys. At. Mol. Opt. Phys. 32(12), 2973–2980 (1999).
[Crossref]

Ph. Balcou, P. Salieres, A. L’Huillier, and M. Lewenstein, “Generalized phase-matching conditions for high harmonics: The role of field-gradient forces,” Phys. Rev. A 55(4), 3204–3210 (1997).
[Crossref]

M. Lewenstein, P. Salières, and A. L’Huillier, “Phase of the atomic polarization in high-order harmonic generation,” Phys. Rev. A 52(6), 4747–4754 (1995).
[Crossref] [PubMed]

Lan, P.

P. Lan, E. J. Takahashi, and K. Midorikawa, “Wavelength scaling of efficient high-order harmonic generation by two-color infrared laser fields,” Phys. Rev. A 81(6), 061802 (2010).
[Crossref]

Le Déroff, L.

P. Salières, B. Carré, L. Le Déroff, F. Grasbon, G. G. Paulus, H. Walther, R. Kopold, W. Becker, D. B. Milosevic, A. Sanpera, and M. Lewenstein, “Feynman’s path-integral approach for intense-laser-atom interactions,” Science 292(5518), 902–905 (2001).
[Crossref] [PubMed]

Lein, M.

Lewenstein, M.

P. Salières, B. Carré, L. Le Déroff, F. Grasbon, G. G. Paulus, H. Walther, R. Kopold, W. Becker, D. B. Milosevic, A. Sanpera, and M. Lewenstein, “Feynman’s path-integral approach for intense-laser-atom interactions,” Science 292(5518), 902–905 (2001).
[Crossref] [PubMed]

Ph. Balcou, P. Salieres, A. L’Huillier, and M. Lewenstein, “Generalized phase-matching conditions for high harmonics: The role of field-gradient forces,” Phys. Rev. A 55(4), 3204–3210 (1997).
[Crossref]

M. Lewenstein, P. Salières, and A. L’Huillier, “Phase of the atomic polarization in high-order harmonic generation,” Phys. Rev. A 52(6), 4747–4754 (1995).
[Crossref] [PubMed]

Li, R.

Marangos, J. P.

Midorikawa, K.

P. Lan, E. J. Takahashi, and K. Midorikawa, “Wavelength scaling of efficient high-order harmonic generation by two-color infrared laser fields,” Phys. Rev. A 81(6), 061802 (2010).
[Crossref]

Milosevic, D. B.

P. Salières, B. Carré, L. Le Déroff, F. Grasbon, G. G. Paulus, H. Walther, R. Kopold, W. Becker, D. B. Milosevic, A. Sanpera, and M. Lewenstein, “Feynman’s path-integral approach for intense-laser-atom interactions,” Science 292(5518), 902–905 (2001).
[Crossref] [PubMed]

Muller, H. G.

J. Tate, T. Auguste, H. G. Muller, P. Salières, P. Agostini, and L. F. DiMauro, “Scaling of wave-packet dynamics in an intense midinfrared field,” Phys. Rev. Lett. 98(1), 013901 (2007).
[Crossref] [PubMed]

Murnane, M. M.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature 421(6918), 51–54 (2003).
[Crossref] [PubMed]

Naik, P. A.

R. A. Ganeev, H. Singhal, P. A. Naik, V. Arora, U. Chakravarty, J. A. Chakera, R. A. Khan, I. A. Kulagin, P. V. Redkin, M. Raghuramaiah, and P. D. Gupta, “Harmonic generation from indium-rich plasmas,” Phys. Rev. A 74(6), 063824 (2006).
[Crossref]

Nejdl, J.

T. Fok, Ł. Węgrzyński, M. Kozlova, J. Nejdl, P. W. Wachulak, R. Jarocki, A. Bartnik, and H. Fiedorovicz, “High-order harmonic generation using a multi-jet gas puff target,” Photonics Lett. Pol. 6(1), 14 (2014).
[Crossref]

Okell, W. A.

Ozaki, T.

R. A. Ganeev, L. B. E. Bom, J.-C. Kieffer, M. Suzuki, H. Kuroda, and T. Ozaki, “Demonstration of the 101st harmonic generated from laser-produced manganese plasma,” Phys. Rev. A 76(2), 023831 (2007).
[Crossref]

R. A. Ganeev, M. Suzuki, M. Baba, H. Kuroda, and T. Ozaki, “Strong resonance enhancement of a single harmonic generated in the extreme ultraviolet range,” Opt. Lett. 31(11), 1699–1701 (2006).
[Crossref] [PubMed]

Paul, A.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature 421(6918), 51–54 (2003).
[Crossref] [PubMed]

Paulus, G. G.

P. Salières, B. Carré, L. Le Déroff, F. Grasbon, G. G. Paulus, H. Walther, R. Kopold, W. Becker, D. B. Milosevic, A. Sanpera, and M. Lewenstein, “Feynman’s path-integral approach for intense-laser-atom interactions,” Science 292(5518), 902–905 (2001).
[Crossref] [PubMed]

Peatross, J.

Pirri, A.

A. Pirri, C. Corsi, and M. Bellini, “Enhancing the yield of high-order harmonics with an array of gas jets,” Phys. Rev. A 78(1), 011801 (2008).
[Crossref]

Platonenko, V. T.

V. V. Strelkov, V. T. Platonenko, A. F. Sterzhantov, and M. Yu. Ryabikin, “Attosecond electromagnetic pulses: generation, measurement, and application. Generation of high-order harmonics of an intense laser field for attosecond pulse production,” Phys. Uspekhi 59(5), 425–445 (2016).
[Crossref]

Raghuramaiah, M.

R. A. Ganeev, H. Singhal, P. A. Naik, V. Arora, U. Chakravarty, J. A. Chakera, R. A. Khan, I. A. Kulagin, P. V. Redkin, M. Raghuramaiah, and P. D. Gupta, “Harmonic generation from indium-rich plasmas,” Phys. Rev. A 74(6), 063824 (2006).
[Crossref]

Rankin, R.

C. Kan, C. E. Capjack, R. Rankin, and N. H. Burnett, “Spectral and temporal structure in high harmonic emission from ionizing atomic gases,” Phys. Rev. A 52(6), R4336–R4339 (1995).
[Crossref] [PubMed]

Redkin, P. V.

R. A. Ganeev, M. Suzuki, P. V. Redkin, and H. Kuroda, “Quasi-phase-matching of laser harmonics using variable multi-jet plasmas,” J. Nonlinear Opt. Phys. Mater. 23(1), 1450013 (2014).
[Crossref]

R. A. Ganeev, H. Singhal, P. A. Naik, V. Arora, U. Chakravarty, J. A. Chakera, R. A. Khan, I. A. Kulagin, P. V. Redkin, M. Raghuramaiah, and P. D. Gupta, “Harmonic generation from indium-rich plasmas,” Phys. Rev. A 74(6), 063824 (2006).
[Crossref]

Ryabikin, M. Yu.

V. V. Strelkov, V. T. Platonenko, A. F. Sterzhantov, and M. Yu. Ryabikin, “Attosecond electromagnetic pulses: generation, measurement, and application. Generation of high-order harmonics of an intense laser field for attosecond pulse production,” Phys. Uspekhi 59(5), 425–445 (2016).
[Crossref]

Salieres, P.

Ph. Balcou, P. Salieres, A. L’Huillier, and M. Lewenstein, “Generalized phase-matching conditions for high harmonics: The role of field-gradient forces,” Phys. Rev. A 55(4), 3204–3210 (1997).
[Crossref]

Salières, P.

J. Tate, T. Auguste, H. G. Muller, P. Salières, P. Agostini, and L. F. DiMauro, “Scaling of wave-packet dynamics in an intense midinfrared field,” Phys. Rev. Lett. 98(1), 013901 (2007).
[Crossref] [PubMed]

P. Salières, B. Carré, L. Le Déroff, F. Grasbon, G. G. Paulus, H. Walther, R. Kopold, W. Becker, D. B. Milosevic, A. Sanpera, and M. Lewenstein, “Feynman’s path-integral approach for intense-laser-atom interactions,” Science 292(5518), 902–905 (2001).
[Crossref] [PubMed]

M. Lewenstein, P. Salières, and A. L’Huillier, “Phase of the atomic polarization in high-order harmonic generation,” Phys. Rev. A 52(6), 4747–4754 (1995).
[Crossref] [PubMed]

Salin, F.

M. B. Gaarde, F. Salin, E. Constant, Ph. Balcou, K. J. Schafer, K. C. Kulander, and A. L’Huillier, “Spatiotemporal separation of high harmonic radiation into two quantum path components,” Phys. Rev. A 59(2), 1367–1373 (1999).
[Crossref]

Sanpera, A.

P. Salières, B. Carré, L. Le Déroff, F. Grasbon, G. G. Paulus, H. Walther, R. Kopold, W. Becker, D. B. Milosevic, A. Sanpera, and M. Lewenstein, “Feynman’s path-integral approach for intense-laser-atom interactions,” Science 292(5518), 902–905 (2001).
[Crossref] [PubMed]

Schafer, K. J.

M. B. Gaarde and K. J. Schafer, “Quantum path distributions for high-order harmonics in rare gas atoms,” Phys. Rev. A 65(3), 031406 (2002).
[Crossref]

M. B. Gaarde, F. Salin, E. Constant, Ph. Balcou, K. J. Schafer, K. C. Kulander, and A. L’Huillier, “Spatiotemporal separation of high harmonic radiation into two quantum path components,” Phys. Rev. A 59(2), 1367–1373 (1999).
[Crossref]

Seres, E.

J. Seres, V. S. Yakovlev, E. Seres, C. H. Streli, P. Wobrauschek, C. H. Spielmann, and F. Krausz, “Coherent superposition of laser-driven soft-X-ray harmonics from successive sources,” Nat. Phys. 3(12), 878–883 (2007).
[Crossref]

Seres, J.

J. Seres, V. S. Yakovlev, E. Seres, C. H. Streli, P. Wobrauschek, C. H. Spielmann, and F. Krausz, “Coherent superposition of laser-driven soft-X-ray harmonics from successive sources,” Nat. Phys. 3(12), 878–883 (2007).
[Crossref]

Singhal, H.

R. A. Ganeev, H. Singhal, P. A. Naik, V. Arora, U. Chakravarty, J. A. Chakera, R. A. Khan, I. A. Kulagin, P. V. Redkin, M. Raghuramaiah, and P. D. Gupta, “Harmonic generation from indium-rich plasmas,” Phys. Rev. A 74(6), 063824 (2006).
[Crossref]

Spielmann, C. H.

J. Seres, V. S. Yakovlev, E. Seres, C. H. Streli, P. Wobrauschek, C. H. Spielmann, and F. Krausz, “Coherent superposition of laser-driven soft-X-ray harmonics from successive sources,” Nat. Phys. 3(12), 878–883 (2007).
[Crossref]

Sterzhantov, A. F.

V. V. Strelkov, V. T. Platonenko, A. F. Sterzhantov, and M. Yu. Ryabikin, “Attosecond electromagnetic pulses: generation, measurement, and application. Generation of high-order harmonics of an intense laser field for attosecond pulse production,” Phys. Uspekhi 59(5), 425–445 (2016).
[Crossref]

Streli, C. H.

J. Seres, V. S. Yakovlev, E. Seres, C. H. Streli, P. Wobrauschek, C. H. Spielmann, and F. Krausz, “Coherent superposition of laser-driven soft-X-ray harmonics from successive sources,” Nat. Phys. 3(12), 878–883 (2007).
[Crossref]

Strelkov, V. V.

V. V. Strelkov, V. T. Platonenko, A. F. Sterzhantov, and M. Yu. Ryabikin, “Attosecond electromagnetic pulses: generation, measurement, and application. Generation of high-order harmonics of an intense laser field for attosecond pulse production,” Phys. Uspekhi 59(5), 425–445 (2016).
[Crossref]

V. V. Strelkov, “Role of autoionizing state in resonant high-order harmonic generation and attosecond pulse production,” Phys. Rev. A 93(5), 053812 (2016).
[Crossref]

M. A. Khokhlova and V. V. Strelkov, “Phase properties of the cutoff high-order harmonics,” Phys. Rev. A 93(4), 043416 (2016).
[Crossref]

Suzuki, M.

R. A. Ganeev, A. Husakou, M. Suzuki, and H. Kuroda, “Application of mid-infrared pulses for quasi-phase-matching of high-order harmonics in silver plasma,” Opt. Express 24(4), 3414–3423 (2016).
[Crossref] [PubMed]

R. A. Ganeev, V. Tosa, K. Kovács, M. Suzuki, S. Yoneya, and H. Kuroda, “Influence of ablated and tunneled electrons on the quasi-phase-matched high-order harmonic generation in laser-produced plasma,” Phys. Rev. A 91(4), 043823 (2015).
[Crossref]

R. A. Ganeev, M. Suzuki, and H. Kuroda, “Quasi-phase-matching induced enhancement of high-order harmonics during two-color pump of multi-jet plasmas,” J. Phys. At. Mol. Opt. Phys. 47(10), 105401 (2014).
[Crossref]

R. A. Ganeev, M. Suzuki, and H. Kuroda, “Quasi-phase-matching of high-order harmonics in multiple plasma jets,” Phys. Rev. A 89(3), 033821 (2014).
[Crossref]

R. A. Ganeev, M. Suzuki, P. V. Redkin, and H. Kuroda, “Quasi-phase-matching of laser harmonics using variable multi-jet plasmas,” J. Nonlinear Opt. Phys. Mater. 23(1), 1450013 (2014).
[Crossref]

R. A. Ganeev, M. Baba, M. Suzuki, S. Yoneya, and H. Kuroda, “Low- and high-order harmonic generation in the extended plasmas produced by laser ablation of zinc and manganese targets,” J. Appl. Phys. 116(24), 243102 (2014).
[Crossref]

R. A. Ganeev, L. B. E. Bom, J.-C. Kieffer, M. Suzuki, H. Kuroda, and T. Ozaki, “Demonstration of the 101st harmonic generated from laser-produced manganese plasma,” Phys. Rev. A 76(2), 023831 (2007).
[Crossref]

R. A. Ganeev, M. Suzuki, M. Baba, H. Kuroda, and T. Ozaki, “Strong resonance enhancement of a single harmonic generated in the extreme ultraviolet range,” Opt. Lett. 31(11), 1699–1701 (2006).
[Crossref] [PubMed]

Takahashi, E. J.

P. Lan, E. J. Takahashi, and K. Midorikawa, “Wavelength scaling of efficient high-order harmonic generation by two-color infrared laser fields,” Phys. Rev. A 81(6), 061802 (2010).
[Crossref]

Tang, S.

Tate, J.

J. Tate, T. Auguste, H. G. Muller, P. Salières, P. Agostini, and L. F. DiMauro, “Scaling of wave-packet dynamics in an intense midinfrared field,” Phys. Rev. Lett. 98(1), 013901 (2007).
[Crossref] [PubMed]

Tisch, J. W. G.

Tobey, R.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature 421(6918), 51–54 (2003).
[Crossref] [PubMed]

Tosa, V.

R. A. Ganeev, V. Tosa, K. Kovács, M. Suzuki, S. Yoneya, and H. Kuroda, “Influence of ablated and tunneled electrons on the quasi-phase-matched high-order harmonic generation in laser-produced plasma,” Phys. Rev. A 91(4), 043823 (2015).
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V. Tosa, V. S. Yakovlev, and F. Krausz, “Generation of tunable isolated attosecond pulses in multi-jet systems,” New J. Phys. 10(2), 025016 (2008).
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Tudorovskaya, M.

Wachulak, P. W.

T. Fok, Ł. Węgrzyński, M. Kozlova, J. Nejdl, P. W. Wachulak, R. Jarocki, A. Bartnik, and H. Fiedorovicz, “High-order harmonic generation using a multi-jet gas puff target,” Photonics Lett. Pol. 6(1), 14 (2014).
[Crossref]

Walther, H.

P. Salières, B. Carré, L. Le Déroff, F. Grasbon, G. G. Paulus, H. Walther, R. Kopold, W. Becker, D. B. Milosevic, A. Sanpera, and M. Lewenstein, “Feynman’s path-integral approach for intense-laser-atom interactions,” Science 292(5518), 902–905 (2001).
[Crossref] [PubMed]

Wegrzynski, L.

T. Fok, Ł. Węgrzyński, M. Kozlova, J. Nejdl, P. W. Wachulak, R. Jarocki, A. Bartnik, and H. Fiedorovicz, “High-order harmonic generation using a multi-jet gas puff target,” Photonics Lett. Pol. 6(1), 14 (2014).
[Crossref]

Weiman, S.

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature 421(6918), 51–54 (2003).
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Witting, T.

Wobrauschek, P.

J. Seres, V. S. Yakovlev, E. Seres, C. H. Streli, P. Wobrauschek, C. H. Spielmann, and F. Krausz, “Coherent superposition of laser-driven soft-X-ray harmonics from successive sources,” Nat. Phys. 3(12), 878–883 (2007).
[Crossref]

Yakovlev, V. S.

V. Tosa, V. S. Yakovlev, and F. Krausz, “Generation of tunable isolated attosecond pulses in multi-jet systems,” New J. Phys. 10(2), 025016 (2008).
[Crossref]

J. Seres, V. S. Yakovlev, E. Seres, C. H. Streli, P. Wobrauschek, C. H. Spielmann, and F. Krausz, “Coherent superposition of laser-driven soft-X-ray harmonics from successive sources,” Nat. Phys. 3(12), 878–883 (2007).
[Crossref]

Yoneya, S.

R. A. Ganeev, V. Tosa, K. Kovács, M. Suzuki, S. Yoneya, and H. Kuroda, “Influence of ablated and tunneled electrons on the quasi-phase-matched high-order harmonic generation in laser-produced plasma,” Phys. Rev. A 91(4), 043823 (2015).
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R. A. Ganeev, M. Baba, M. Suzuki, S. Yoneya, and H. Kuroda, “Low- and high-order harmonic generation in the extended plasmas produced by laser ablation of zinc and manganese targets,” J. Appl. Phys. 116(24), 243102 (2014).
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Zaïr, A.

Zheng, L.

J. Appl. Phys. (2)

R. A. Ganeev, “Influence of micro- and macro-processes on the high-order harmonic generation in laser-produced plasma,” J. Appl. Phys. 119(11), 113104 (2016).
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R. A. Ganeev, M. Baba, M. Suzuki, S. Yoneya, and H. Kuroda, “Low- and high-order harmonic generation in the extended plasmas produced by laser ablation of zinc and manganese targets,” J. Appl. Phys. 116(24), 243102 (2014).
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J. Nonlinear Opt. Phys. Mater. (1)

R. A. Ganeev, M. Suzuki, P. V. Redkin, and H. Kuroda, “Quasi-phase-matching of laser harmonics using variable multi-jet plasmas,” J. Nonlinear Opt. Phys. Mater. 23(1), 1450013 (2014).
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J. Opt. Soc. Am. B (1)

J. Phys. At. Mol. Opt. Phys. (2)

R. A. Ganeev, M. Suzuki, and H. Kuroda, “Quasi-phase-matching induced enhancement of high-order harmonics during two-color pump of multi-jet plasmas,” J. Phys. At. Mol. Opt. Phys. 47(10), 105401 (2014).
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J. Seres, V. S. Yakovlev, E. Seres, C. H. Streli, P. Wobrauschek, C. H. Spielmann, and F. Krausz, “Coherent superposition of laser-driven soft-X-ray harmonics from successive sources,” Nat. Phys. 3(12), 878–883 (2007).
[Crossref]

Nature (1)

A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature 421(6918), 51–54 (2003).
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New J. Phys. (1)

V. Tosa, V. S. Yakovlev, and F. Krausz, “Generation of tunable isolated attosecond pulses in multi-jet systems,” New J. Phys. 10(2), 025016 (2008).
[Crossref]

Opt. Express (3)

Opt. Lett. (1)

Photonics Lett. Pol. (1)

T. Fok, Ł. Węgrzyński, M. Kozlova, J. Nejdl, P. W. Wachulak, R. Jarocki, A. Bartnik, and H. Fiedorovicz, “High-order harmonic generation using a multi-jet gas puff target,” Photonics Lett. Pol. 6(1), 14 (2014).
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R. A. Ganeev, M. Suzuki, and H. Kuroda, “Quasi-phase-matching of high-order harmonics in multiple plasma jets,” Phys. Rev. A 89(3), 033821 (2014).
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R. A. Ganeev, V. Tosa, K. Kovács, M. Suzuki, S. Yoneya, and H. Kuroda, “Influence of ablated and tunneled electrons on the quasi-phase-matched high-order harmonic generation in laser-produced plasma,” Phys. Rev. A 91(4), 043823 (2015).
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R. A. Ganeev, H. Singhal, P. A. Naik, V. Arora, U. Chakravarty, J. A. Chakera, R. A. Khan, I. A. Kulagin, P. V. Redkin, M. Raghuramaiah, and P. D. Gupta, “Harmonic generation from indium-rich plasmas,” Phys. Rev. A 74(6), 063824 (2006).
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R. A. Ganeev, L. B. E. Bom, J.-C. Kieffer, M. Suzuki, H. Kuroda, and T. Ozaki, “Demonstration of the 101st harmonic generated from laser-produced manganese plasma,” Phys. Rev. A 76(2), 023831 (2007).
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Phys. Uspekhi (1)

V. V. Strelkov, V. T. Platonenko, A. F. Sterzhantov, and M. Yu. Ryabikin, “Attosecond electromagnetic pulses: generation, measurement, and application. Generation of high-order harmonics of an intense laser field for attosecond pulse production,” Phys. Uspekhi 59(5), 425–445 (2016).
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Science (1)

P. Salières, B. Carré, L. Le Déroff, F. Grasbon, G. G. Paulus, H. Walther, R. Kopold, W. Becker, D. B. Milosevic, A. Sanpera, and M. Lewenstein, “Feynman’s path-integral approach for intense-laser-atom interactions,” Science 292(5518), 902–905 (2001).
[Crossref] [PubMed]

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Figures (7)

Fig. 1
Fig. 1 Phase of the microscopic response at the harmonic frequency as a function of the propagation distance. The dark regions show positions of the two plasma jets. The three terms in the total phase given by Eq. (3) are shown separately. Contrary to the QPM in multi-jet gases, the total phase typically monotonically decreases in multi-jet plasmas, see the text. The inset shows the spatial parameters of the mask and of the plasma jets.
Fig. 2
Fig. 2 The most effectively generated harmonic orders measured experimentally in [9] (squares) [19], (triangles), and [20] (circles) as the function of the (a) tilting angle and (b) spatial period of the jet set L, see text for more details. The harmonic orders calculated by Eq. (11) for the conditions of those experiments are shown with curves.
Fig. 3
Fig. 3 Free-electron density in the plasma jet calculated via Eq. (15) using the experimental results from [9] (blue squares) and plasma densities calculated via code ITAP IMD in [8] (red triangles).
Fig. 4
Fig. 4 (a) Experimental setup for the HHG in the multi-jet plasmas. HP, heating pulse; DP, driving pulse; CL, cylindrical lens; SL, spherical lens; MSM, multi-slit mask; DM, dichroic mirror; TiS, femtosecond radiation from Ti:sapphire laser; OPA, femtosecond radiation from optical parametric amplifier; VC, vacuum chamber; T, target; BBO, nonlinear crystal for second harmonic generation; HR, harmonic radiation; MJP, multi-jet plasma; XUVS, extreme ultraviolet spectrometer. (b) Shapes of silver plasma plumes produced at different modes of excitation of the target. Left picture shows the extended (5-mm-long) homogeneous plasma (upper panel), eight-jet plasma produced during installation of the MSM between cylindrical lens and target (middle panel), and nine-jet plasma produced during tilting the MSM at θ = 25° (bottom panel). Right picture shows the images of three-, four- and five-jet plasmas produced during placement of the MSM in different positions inside the telescope installed in front of the cylindrical lens.
Fig. 5
Fig. 5 (a) Harmonic spectra generated using the 806 nm pump in the extended silver plasma (thin red curve) and eight-jet plasma produced by installation of the MSM containing 0.3 mm slits (thick blue curve). (b). Two-color pump using the 1310 nm + 655 nm radiation of the extended (thin curve) and eight-jet (thick curve) plasmas. The enhancement factors are shown below the harmonic orders. (c) Harmonic spectra generated using the 806 nm pump from the silver plasma formations containing different number of jets. The lines near H17 and H19 correspond to the second-order diffraction of enhanced harmonics.
Fig. 6
Fig. 6 The enhancement factors of the harmonics generated during two-color pump (1310 nm + 655 nm) of the modulated indium plasma containing eight jets.
Fig. 7
Fig. 7 Harmonic spectra generated during propagation of 806 nm pulses through the extended Mn plasma (thin curve) and eight-jet Mn plasma (thick curve).

Equations (31)

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ϕ q ( z ) = q ϕ 1 ( z ) + ϕ q ( n p ) ( I ( z ) )
ϕ q ( n p ) = α I ( z )
ϕ 1 ( z ) = 0 z Δ k ( z ) d z + ϕ G ( z ) ,
ϕ q ( z ) = q 0 z Δ k ( z ) d z + q ϕ G ( z ) α I ( z ) .
Δ ϕ q ϕ ( L ) q ϕ ( 0 ) q = 2 π m ,
q 0 L Δ k ( z ) d z + q ϕ G z L α I z L = 2 π m
0 L Δ k ( z ) d z = Δ k e f f L .
Δ k e f f L = l Δ n ω / c ,
q = 2 π m + α L I / z L [ Δ k e f f + ϕ G / z ]
I / z = 0 ; ϕ G / z = 2 / b ,
q o p t = 2 π m L [ Δ k e f f 2 / b ] .
q o p t = 2 π L [ 2 / b Δ k e f f ]
q o p t ( max ) = π b L
Δ n = ω p 2 / ( 2 ω 2 ) ,
N e = ω m c l e 2 [ 1 q o p t L π b ]
N e [ с m 3 ] = 1 l [ с m ] [ 1 q o p t L π b ] 3.1 × 10 17 .
l q o p t ( c o h ) = l
q o p t ( L l ) 2 b = π
l L = 1 π b 2 q o p t L
Δ ϕ q = 2 π m ± π / N
Δ q ˜ = q o p t / ( 2 N ) .
I z = I 0 2 ρ 0 4 z d 2 ρ 4 ( z ) z
ρ 2 ( z ) = ρ 0 2 ( 1 + z 2 / z d 2 ) ,
q = q o p t ( 1 + α I z D cos θ 2 π m )
Δ q = q o p t 1.3 α I 0 L 2 π b
Δ q = 1.3 α I 0 | Δ k e f f b 2 |
ϕ q ( z ) = q 1 ϕ 1 ( z ) + q 2 ϕ 2 ( z ) + ϕ q 1 , q 2 ( n p ) [ I 1 ( z ) , I 2 ( z ) ] ,
q 1 ϕ 1 ( p l ) + q 2 ϕ 1 ( p l ) / 2 q 1 ( 2 L / b 1 ) q 2 ( 2 L / b 2 ) = 2 π m ,
( q 1 + q 2 / 2 ) ( ϕ 1 ( p l ) 2 L / b 1 ) = 2 π m
Q o p t = 2 π L [ 2 / b 1 Δ k 1 e f f ]
q o p t ω = q 1 ω + q 2 2 ω = ( Q o p t + 3 2 q 2 ) ω .

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