Abstract
Due to its nonperturbative character, the theoretical modelization of strong field phenomena is a challenging aspiration. In this chapter, we shall consider the problem of high-order harmonic generation and propagation, and review some recent proposals that conform an alternative approach to the standard procedures. In particular, the semiclassical description of the single-atom response can be nowadays replaced to include the full quantum description. Also, the limits of the Strong-Field Approximation can be extended to include the influence of the strong field on the ground state. These two aspects allow for a new procedure, here referred to as SFA + , for calculating the high-order harmonic generation spectrum, which is demonstrated to improve the quantitative accuracy and to recover, for instance, the correct dependence of the harmonic yield with the laser wavelength. On the contrary, the problem of harmonic propagation has also been tackled recently from a new perspective: the combination of SFA + methods with a Discrete Dipole approach. This latter strategy is not based on the differential wave equation for the fields, but on its integral version, and finds some advantages with respect to the usual approximations (slowly varying envelopes, paraxial, etc).
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Notes
- 1.
For a review of these techniques, see H. R. Reiss, in Progress in Ultrafast Intense Laser Science, 1 (Springer, 2008).
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Acknowledgements
We acknowledge support from Spanish Ministerio de Ciencia e Innovación through the Consolider Program SAUUL (CSD2007-00013) and Research project FIS2009-09522, from Junta de Castilla y León through the Program for Groups of Excellence (GR27) and from the EC’s Seventh Framework Programme (LASERLAB-EUROPE, grant agreement n 228334). We also acknowledge support from the Centro de Laseres Pulsados, CLPU, Salamanca, Spain.
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Pérez-Hernández, J.A., Hernandez-García, C., Ramos, J., Jarque, E.C., Plaja, L., Roso, L. (2011). New Methods For Computing High-Order Harmonic Generation and Propagation. In: Yamanouchi, K., Charalambidis, D., Normand, D. (eds) Progress in Ultrafast Intense Laser Science VII. Springer Series in Chemical Physics, vol 100. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18327-0_7
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