OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: G. I. Stegeman
  • Vol. 23, Iss. 2 — Feb. 1, 2006
  • pp: 308–317

Theoretical analysis of high-order harmonic generation from a coherent superposition of states

Dejan B. Milošević  »View Author Affiliations


JOSA B, Vol. 23, Issue 2, pp. 308-317 (2006)
http://dx.doi.org/10.1364/JOSAB.23.000308


View Full Text Article

Enhanced HTML    Acrobat PDF (176 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A quantum theory of high-order harmonic generation by a strong laser field in the presence of more bound states is formulated. The obtained numerical and analytical results for a two-state hydrogenlike atom model show that the harmonic spectrum consists of two parts: a usual single-state harmonic spectrum of odd harmonics having the energies ( 2 k + 1 ) ω and a resonant part with the peaks around the excitation energy Δ ω . The energy of the harmonics in the resonant part of the spectrum is equal to Δ ω ± ω , Δ ω ± 3 ω , …. For energies higher than the excitation energy, the resonant part forms a plateau, followed by a cutoff. The emission rate of the harmonics in this resonant plateau is many orders of magnitude higher than that of the harmonics generated in the presence of the ground state alone. The influence of the depletion of the initial states, as well as of the pulse shape and intensity, is analyzed.

© 2006 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
(270.4180) Quantum optics : Multiphoton processes
(270.6620) Quantum optics : Strong-field processes

ToC Category:
Nonlinear Optics

History
Original Manuscript: June 7, 2005
Manuscript Accepted: July 20, 2005

Citation
Dejan B. Milosevic, "Theoretical analysis of high-order harmonic generation from a coherent superposition of states," J. Opt. Soc. Am. B 23, 308-317 (2006)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-23-2-308


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. W. Becker, F. Grasbon, R. Kopold, D. B. Milosevic, G. G. Paulus, and H. Walther, "Above-threshold ionization: from classical features to quantum effects," Adv. At. Mol. Opt. Phys. 48, 35-98 (2002). [CrossRef]
  2. D. B. Milosevic and F. Ehlotzky, "Scattering and reaction processes in powerful laser fields," Adv. At. Mol. Opt. Phys. 49, 373-532 (2003).
  3. A. Becker and F. H. M. Faisal, "Intense field many-body S-matrix theory," J. Phys. B 38, R1-R56 (2005). [CrossRef]
  4. P. Salières, A. L'Huillier, Ph. Antoine, and M. Lewenstein, "Study of the spatial and temporal coherence of high-order harmonics," Adv. At. Mol. Opt. Phys. 41, 83-142 (1999). [CrossRef]
  5. 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, 3535-3538 (1992). [CrossRef] [PubMed]
  6. P. B. Corkum, "Plasma perspective on strong field multiphoton ionization," Phys. Rev. Lett. 71, 1994-1997 (1993). [CrossRef] [PubMed]
  7. K. C. Kulander, K. J. Schafer, and J. L. Krause, "Dynamics of short-pulse excitation, ionization and atomic conversion," in Super-Intense Laser-Atom Physics, B.Piraux, A.L'Huillier, and K.Rzazewski, eds., Vol. 316 of NATO Advanced Science Institutes Series Series B (Plenum, 1993), pp. 95-110.
  8. 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]
  9. D. B. Milosevic and B. Piraux, "High-order harmonic generation in a bichromatic elliptically polarized laser field," Phys. Rev. A 54, 1522-1531 (1996). [CrossRef] [PubMed]
  10. P. M. Paul, T. O. Clatterbuck, C. Lynga, P. Colosimo, L. F. DiMauro, P. Agostini, and K. C. Kulander, "Enhanced high harmonic generation from an optically prepared excited medium," Phys. Rev. Lett. 94, 113906 (2005). [CrossRef] [PubMed]
  11. J. B. Watson, A. Sanpera, X. Chen, and K. Burnett, "Harmonic generation from a coherent superposition of states," Phys. Rev. A 53, R1962-R1965 (1996). [CrossRef] [PubMed]
  12. A. Sanpera, J. B. Watson, M. Lewenstein, and K. Burnett, "Harmonic-generation control," Phys. Rev. A 54, 4320-4326 (1996). [CrossRef] [PubMed]
  13. Z. Zeng, R. Li, Y. Cheng, W. Yu, and Z. Xu, "Resonance-enhanced high-order harmonic generation and frequency mixing in two-color laser field," Phys. Scr. 66, 321-325 (2002). [CrossRef]
  14. H. Niikura, D. M. Villeneuve, and P. B. Corkum, "Mapping attosecond electron wave packet motion," Phys. Rev. Lett. 94, 083003 (2005). [CrossRef] [PubMed]
  15. T. Brabec and F. Krausz, "Intense few-cycle laser fields: frontiers of nonlinear optics," Rev. Mod. Phys. 72, 545-591 (2000). [CrossRef]
  16. P. Agostini and L. F. DiMauro, "The physics of attosecond light pulses," Rep. Prog. Phys. 67, 813-855 (2004); see corrigendum, Ref. . [CrossRef]
  17. P. Agostini and L. F. DiMauro, "Corrigendum: the physics of attosecond light pulses," Rep. Prog. Phys. 67, 1563 (2004). [CrossRef]
  18. R. J. Jones, K. D. Moll, M. J. Thorpe, and J. Ye, "Phase-coherent frequency combs in the vacuum ultraviolet via high-harmonic generation inside a femtosecond enhancement cavity," Phys. Rev. Lett. 94, 193201 (2005). [CrossRef] [PubMed]
  19. C. Gohle, T. Udem, M. Herrmann, J. Rauschenberger, R. Holzwarth, H. A. Schuessler, F. Krausz, and T. W. Hänsch, "A frequency comb in the extreme ultraviolet," Nature 436, 234-237 (2005). [CrossRef] [PubMed]
  20. 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, R4336-R4339 (1995). [CrossRef] [PubMed]
  21. L. V. Keldysh, "Ionization in the field of a strong electromagnetic wave," Sov. Phys. JETP 20, 1307-1319 (1965) L. V. Keldysh, [Zh. Eksp. Teor. Fiz. 47, 1945-1957 (1964)].
  22. F. A. Ilkov, J. E. Decker, and S. L. Chin, "Ionization of atoms in the tunnelling regime with experimental evidence using Hg atoms," J. Phys. B 25, 4005-4020 (1992). [CrossRef]
  23. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, 1964), 7.1.17, Fig. 7.2.

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