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Phase characteristics of high-order harmonics in the cut-off region

  • Nonlinear Optics
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Abstract

The behavior of the phases of high-order harmonics generated upon interaction of intense laser radiation with matter is investigated. Some specific features typical of the harmonic phases in the high-frequency part of plateau (cut-off harmonic phases) are found. First, the phase difference between neighboring harmonics is a constant value. The width of the spectral range in which this regularity occurs determines the minimum duration of the attosecond pulse obtained from these harmonics by the so-called amplitude gating technique. Second, it is shown that the phase of each harmonic in the cut-off region depends linearly on the laser intensity. The proportionality coefficient is the same for all harmonics in this region and proportional to the cube of laser wavelength. Thus, this dependence is especially important for generating high-order harmonics by lasers with a wavelength of few micrometers.

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References

  1. A. McPherson, G. Gibson, H. Jara, U. Johann, T. S. Luk, I. A. McIntyre, K. Boyer, and C. K. Rhodes, “Studies of Multiphoton Production of Vacuum-Ultraviolet Radiation in Rare Gases,” J. Opt. Soc. Amer. B. 4, 595 (1987).

    Article  ADS  Google Scholar 

  2. M. Ferray, A. L’Huillier, X. F. Li, L. A. Lompre, G. Mainfray, and C. Manus, “Third Harmonic Generation in Xenon in a Pulsed Jet and a Gas Cell,” J. Phys. B: At. Mol. Opt. Phys. 21, L31 (1988).

    Article  ADS  Google Scholar 

  3. X. F. Li, A. L’Huillier, M. Ferray, L. A. Lompre, and G. Mainfray, “Multiple-Harmonic Generation in Rare Gases at High Laser Intensity,” Phys. Rev. A. 39, 5751 (1989).

    Article  ADS  Google Scholar 

  4. J. L. Krause, K. J. Schafer, and K. C. Kulander, “High-Order Harmonic Generation from Atoms and Ions in the High Intensity Regime,” Phys. Rev. Lett. 68, 3535 (1992).

    Article  ADS  Google Scholar 

  5. M. Lewenstein, P. Salieres, and A. L’Huillier, “Phase of the Atomic Polarization in High-Order Harmonic Generation,” Phys. Rev. A. 52, 4747 (1995).

    Article  ADS  Google Scholar 

  6. J. Peatross, M. V. Fedorov, and K. C. Kulander, “Intensity-Dependent Phase-Matching Effects in Harmonic Generation,” J. Opt. Soc. Amer. B. 12, 863 (1995).

    Article  ADS  Google Scholar 

  7. J. Zhou, J. Peatross, M. M. Murnane, H. C. Kapteyn, and I. P. Christov, “Enhanced High-Harmonic Generation Using 25 fs Laser Pulses,” Phys. Rev. Lett. 76, 752 (1996).

    Article  ADS  Google Scholar 

  8. V. T. Platonenko, V. V. Strelkov, G. Ferrante, V. Miceli, and E. Fiordilino, “Control of the Spectral Width and Pulse Duration of a Single High-Order Harmonic,” Laser Phys. 6, 1164 (1996).

    Google Scholar 

  9. A. Dubrouil, O. Hort, F. Catoire, D. Descamps, S. Petit, E. Mevel, V. V. Strelkov, and E. Constant, “Spatio-Spectral Structures in High-Order Harmonic Beams Generated with Terawatt 10-fs Pulses,” Nature Commun. 5, 4637 (2014).

    Article  ADS  Google Scholar 

  10. J. Peatross and D. D. Meyerhofer, “Angular Distribution of High-Order Harmonics Emitted from Rare Gases at Low Density,” Phys. Rev. A. 51, R906(R) (1995).

    Article  ADS  Google Scholar 

  11. 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, 1367 (1999).

    Article  ADS  Google Scholar 

  12. I. P. Christov, M. M. Murnane, and H. C. Kapteyn, “High-Harmonic Generation of Attosecond Pulses in the “Single-Cycle” Regime,” Phys. Rev. Lett. 78, 1251 (1997).

    Article  ADS  Google Scholar 

  13. V. T. Platonenko and V. V. Strelkov, “Generation of High-Order Harmonics in a High-Intensity Laser Radiation Field,” Quantum Electron. 28(7), 564 (1998).

    Article  ADS  Google Scholar 

  14. G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. De Silvestri, “Absolute-Phase Phenomena in Photoionization with Few-Cycle Laser Pulses,” Nature. 414, 182 (2001).

    Article  ADS  Google Scholar 

  15. M. Hentschel, R. Kienberger, Ch. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, “AttosecondMetrology,” Nature. 414, 509 (2001).

    Article  ADS  Google Scholar 

  16. R. Kienberger, E. Goulielmakis, M. Uiberacker, A. Baltuska, V. Yakovlev, F. Bammer, A. Scrinzi, Th. Westerwalbesloh, U. Kleineberg, U. Heinzmann, M. Drescher, and F. Krausz, “Atomic Transient Recorder,” Nature. 427, 817 (2004).

    Article  ADS  Google Scholar 

  17. Y. Mairesse, A. deBohan, L. J. Frasinski, H. Merdji, L. C. Dinu, P. Monchicourt, P. Breger, M. Kovacev, R. Taieb, B. Carre, H. G. Muller, P. Agostini, and P. Salieres, “Attosecond Synchronization of High- Harmonic Soft X-Rays,” Science. 302, 1540 (2003).

    Article  ADS  Google Scholar 

  18. M. Khokhlova and V. Strelkov, “Phase Properties of the Cut-Off High-Order Harmonics,” arXiv: 1511. 02133 [physics. atom-ph].

  19. M. B. Gaarde and K. J. Schafer, “Quantum Path Distributions for High-Order Harmonics in Rare Gas Atoms,” Phys. Rev. A. 65, 031406 (2002).

    Article  ADS  Google Scholar 

  20. W. Becker, S. Long, and J. K. McIver, “ModelingHarmonic Generation by a Zero-Range Potential,” Phys. Rev. A. 50, 1540 (1994).

    Article  ADS  Google Scholar 

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Correspondence to M. A. Khokhlova.

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Khokhlova, M.A., Strelkov, V.V. Phase characteristics of high-order harmonics in the cut-off region. Phys. Wave Phen. 24, 22–25 (2016). https://doi.org/10.3103/S1541308X16010052

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  • DOI: https://doi.org/10.3103/S1541308X16010052

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