Abstract
In recent publications, it has been shown that high-order harmonic generation can be manipulated by employing a time delayed attosecond-pulse train superposed to a strong, near-infrared laser field. It is an open question, however, which is the most adequate way to approximate the attosecond-pulse train in a semianalytic framework. Employing the strong-field approximation and saddle-point methods, we make a detailed assessment of the spectra obtained by modeling the attosecond-pulse train by either a monochromatic wave or a Dirac-Delta comb. These are the two extreme limits of a real train, which is composed by a finite set of harmonics. Specifically, in the monochromatic limit, we find the downhill and uphill sets of orbits reported in the literature, and analyze their influence on the high-harmonic spectra. We show that, in principle, the downhill trajectories lead to stronger harmonics, and pronounced enhancements in the low plateau region. These features are analyzed in terms of quantum interference effects between pairs of quantum orbits, and compared to those obtained in the Dirac-Delta limit.
Similar content being viewed by others
References
P. Agostini and L. DiMauro, Rep. Prog. Phys. 67, 813 (2004).
M. Hentschel, R. Kienberger, Ch. Spielmann, et al., Nature 414, 509 (2001).
M. Schnürer, Ch. Streli, P. Wobrauschek, et al., Phys. Rev. Lett. 85, 3392 (2000); M. Drescher, M. Hentschel, R. Kienberger, et al., Nature 419, 803 (2002).
H. Niikura, F. Légaré, R. Hasbani, et al., Nature 417, 917 (2002).
R. Kienberger, M. Hentschel, M. Uiberacker, et al., Science 297, 1144 (2002); A. Baltuska, Th. Udem, M. Uiberacker, et al., Nature 421, 611 (2003).
Ph. Antoine, A. L’Huillier, and M. Lewenstein, Phys. Rev. Lett. 77, 1234 (1996).
N. A. Papadogianis, B. Witzel, C. Kalpouzos, and D. Charalambidis, Phys. Rev. Lett. 83, 4289 (1999); P. M. Paul, E. S. Toma, P. Breger, et al., Science 292, 1689 (2001).
M. Drescher, M. Hentschel, R. Kienberger, et al., Science 291, 1923 (2001).
Y. Mairesse, A. de Bohan, L. J. Frasinski, et al., Science 302, 1540 (2003).
T. Brabec and F. Krausz, Rev. Mod. Phys. 72, 545 (2000).
K. J. Schafer, M. B. Gaarde, A. Heinrich, et al., Phys. Rev. Lett. 92, 023003 (2004); M. B. Gaarde, K. J. Schafer, A. Heinrich, et al., Phys. Rev. A 72, 013411 (2005); J. Biegert, A. Heinrich, C. P. Hauri, et al., J. Mod. Opt. 53, 87 (2006); J. Biegert, A. Heinrich, C. P. Hauri, et al., Laser Phys. 15, 899 (2005).
P. Johnsson, K. Varjú, T. Remetter, et al., J. Mod. Opt. 53, 233 (2006).
P. Johnsson, R. López-Martens, S. Kazamias, et al., Phys. Rev. Lett. 95, 013001 (2005).
P. B. Corkum, Phys. Rev. Lett. 71, 1994 (1993); K. C. Kulander, K. J. Schafer, and J. L. Krause, in Proceedings of the SILAP Conference, Ed. by B. Piraux et al. (Plenum, New York, 1993).
C. Figueira de Morisson Faria, P. Salières, P. Villain, and M. Lewenstein, Phys. Rev. A 74, 053416 (2006).
M. Lewenstein, Ph. Balcou, M. Yu. Ivanov, et al., Phys. Rev. A 49, 2117 (1994); W. Becker, S. Long, and J. K. McIver, Phys. Rev. A 41, 4112 (1990); Phys. Rev. A 50, 1540 (1994); M. Lewenstein, K. C. Kulander, K. J. Schafer, and Ph. Bucksbaum, Phys. Rev. A 51, 1495 (1995)
P. Salières, B. Carré, L. LeDéroff, et al., Science 292, 902 (2001).
C. Figueira de Morisson Faria, H. Schomerus, and W. Becker, Phys. Rev. A 66, 043413 (2002).
Author information
Authors and Affiliations
Additional information
Original Text © Astro, Ltd., 2007.
Rights and permissions
About this article
Cite this article
Figueira de Morisson Faria, C., Salières, P. High-order harmonic generation with a strong laser field and an attosecond-pulse train: The Dirac-Delta comb and monochromatic limits. Laser Phys. 17, 390–400 (2007). https://doi.org/10.1134/S1054660X07040147
Received:
Issue Date:
DOI: https://doi.org/10.1134/S1054660X07040147