OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 19, Iss. 7 — Jul. 1, 2002
  • pp: 1611–1619

Off-axially phase-matched high-order harmonic generation in an extended medium

Viktor T. Platonenko, Vasily V. Strelkov, and Gaetano Ferrante  »View Author Affiliations

JOSA B, Vol. 19, Issue 7, pp. 1611-1619 (2002)

View Full Text Article

Enhanced HTML    Acrobat PDF (229 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We investigate theoretically high-order harmonic generation in gases and show that, if the target thickness is high, off-axial phase matching is of importance. Results of a numerical study of harmonic generation that takes into account the self-action of the laser pulse are presented. We show that self-guiding of the laser pulse in a noble gas makes possible off-axially phase-matched high harmonic generation if some easily ionizable gas is added to the main generating gas. In calculations for such mixtures we obtained conversion efficiencies as great as approximately 10-310-2 for the 33rd harmonic of a Ti:sapphire laser and approximately 10-4 for the 121st harmonic.

© 2002 Optical Society of America

OCIS Codes
(020.4180) Atomic and molecular physics : Multiphoton processes
(190.4160) Nonlinear optics : Multiharmonic generation
(190.4180) Nonlinear optics : Multiphoton processes
(190.5940) Nonlinear optics : Self-action effects
(260.5950) Physical optics : Self-focusing
(320.2250) Ultrafast optics : Femtosecond phenomena

Viktor T. Platonenko, Vasily V. Strelkov, and Gaetano Ferrante, "Off-axially phase-matched high-order harmonic generation in an extended medium," J. Opt. Soc. Am. B 19, 1611-1619 (2002)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. A. L’Huillier and P. Balcou, “High-order harmonic generation in rare gases with 1-ps 1053-nm laser,” Phys. Rev. Lett. 70, 774–777 (1993). [CrossRef]
  2. Y. Tamaki, J. Itatani, Y. Nagata, M. Obara, and K. Midorikawa, “Highly efficient, phase-matched high-harmonic generation by a self-guided laser beam,” Phys. Rev. Lett. 82, 1422–1425 (1999). [CrossRef]
  3. K. Midorikawa, Y. Tamaki, J. Itatani, and M. Obara, “Efficient phase-matched high-order-harmonic generation by guided femtosecond Ti:sapphire laser pulses,” presented at the 8th International Laser Physics Workshop, Budapest, July 2–6, 1999.
  4. H. R. Lange, A. Chiron, J.-F. Ripoche, A. Mysyrowicz, P. Breger, and P. Agostini, “High-order harmonic generation and quasiphase matching in xenon using self-guided femtoseconds pulses,” Phys. Rev. Lett. 81, 1611–1613 (1998). [CrossRef]
  5. V. T. Platonenko and V. V. Strelkov, “Generation of high-order harmonics in a high-intensity laser radiation field (review),” Quantum Electron. 28, 564–583 (1998). [CrossRef]
  6. P. Salieres, A. L’Huillier, and M. Lewenstein, “Coherence control of high-order harmonics,” Phys. Rev. Lett. 74, 3776–3779 (1995). [CrossRef] [PubMed]
  7. R. A. Smith, J. W. G. Tisch, M. Ciarrocca, S. Augst, and M. H. R. Hutchinson, “Angularly resolved ultra high harmonic generation experiments with picosecond laser pulses,” in Super-Intense Laser–Atom Physics, B. Piraux, A. L’Huillier, and K. Rzazewski, eds. (Plenum, New York, 1993), pp. 31–41.
  8. W. Becker, S. Long, and J. K. McIver, “Modeling harmonic generation by a zero-range potential,” Phys. Rev. A 50, 1540–1560 (1994). [CrossRef] [PubMed]
  9. 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]
  10. C. Kan, C. E. Capjack, R. Rankin, and N. R. Burnett, “Spectral and temporal structure in high harmonic emission from ionizing atomic gases,” Phys. Rev. A 52, R4336–R4339 (1995). [CrossRef] [PubMed]
  11. V. T. Platonenko and V. V. Strelkov, “Phase-matching and spectrum of high-order harmonics generated in an extended medium,” Quantum Electron. 30, 236–242 (2000). [CrossRef]
  12. Ph. Balcou, P. Salie’res, A. L’Huillier, and M. Lewenstein, “Generalized phase-matching conditions for high harmonics: the role of field-gradient forces,” Phys. Rev. A 55, 3204–3210 (1997). [CrossRef]
  13. 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, 779–784 (1997). [CrossRef]
  14. A. Braun, G. Korn, X. Liu, D. Du, J. Squier, and G. Mourou, “Self-channeling of high-peak-power laser pulses in air,” Opt. Lett. 20, 73–75 (1995). [CrossRef] [PubMed]
  15. Y. R. Shen, The Principles of Nonlinear Optics (Wiley, New York, 1984).
  16. S. A. Akhmanov, V. A. Vysloukh, and A. S. Chirkin, Optics of Femtosecond Laser Pulses (American Institute of Physics, New York, 1992).
  17. R. J. Pressley, ed., Handbook of Lasers (Chemical Rubber Company, Cleveland, Ohio, 1971).
  18. M. V. Ammosov, N. B. Delone, and V. P. Krainov, “Tunnel ionization of complex atoms and of atomic ions in an alternating electromagnetic field,” Sov. Phys. JETP 64, 1191–1194 (1986)[Zh. Eksp. Teor. Fiz. 91, 2008–2011 (1986)].
  19. L. A. Lompre, G. Mainfray, C. Manus, S. Repoux, and J. Thebault, “Multiphoton ionization of rare gases at very high laser intensity 1015 W/cm2 by a 30-psec laser pulse at 1.06 μm,” Phys. Rev. Lett. 36, 949–952 (1976). [CrossRef]
  20. A. L’Huillier, X. F. Li, and L. A. Lompre, “Propagation effects in high-order harmonic generation in rare gases,” J. Opt. Soc. Am. B 7, 527–536 (1990). [CrossRef]
  21. V. B. Berestetskii, Ev. M. Lifshitz, and L. P. Pitaevskii, Quantum Electrodynamics, Vol. IV of Course of Theoretical Physics (Pergamon, Oxford, 1977).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited