Abstract
A method using expansion of the wave function in the basis of photonic and free atomic eigenstates is proposed for calculating the emission spectrum of an atom in a laser field. The wave function is constructed using the Kramers−Henneberger transformation so that the expression for the transition S matrix explicitly includes the nonlinear interaction with the laser field. The expansion coefficients are determined by the residual interaction, which depends on the coordinates of the classical free electron motion in the laser field. Resonances at the atomic transition frequencies explicitly arise in the emission spectrum when the residual interaction is considered in the first order. The numerical solution of the timedependent Schro¨ dinger equation for the hydrogen atom within the semiclassical approach is used to obtain emission spectra for laser pulses of different intensities and durations.
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References
L.V. Keldysh, “Ionization in the Field of a Strong Electromagnetic Wave,” Sov. Phys.-JETP. 20(5), 1307 (1965).
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 (1994).
W. Becker, S. Long, and J.K. McIver, “ModelingHarmonic Generation by a Zero-Range Potential,” Phys. Rev. A. 50, 1540 (1994).
E.A. Volkova, V.V. Gridchin, A. M. Popov, and O.V. Tikhonova, “Tunneling Ionization of a Hydrogen Atom in Short and Ultrashort Laser Pulses,” JETP. 102(1), 40 (2006).
V.V. Strelkov, M.A. Khokhlova, A.A. Gonoskov, I.A. Gonoskov, and M.Yu. Ryabikin, “High-Order Harmonic Generation by Atoms in an Elliptically Polarized Laser Field: Harmonic Polarization Properties and Laser Threshold Ellipticity,” Phys. Rev. A. 86, 013404 (2012).
M.A. Khokhlova and V.V. Strelkov, “Phase Characteristics of High-Order Harmonics in the Cut-Off Region,” Phys. Wave Phenom. 24(1), 22 (2016) [DOI: 10.3103/S1541308X16010052].
V.V. Strelkov, V.T. Platonenko, A.F. Sterzhantov, and M.Yu. Ryabikin, “Attosecond Electromagnetic Pulses: Generation, Measurement, and Application. Generation of High-Order Harmonics of Intense Laser Field for Attosecond Pulse Production,” Phys. Usp. 59(5), 425 (2016).
M.L. Pons, R. Taieb, and A. Maquet, “Importance of Population Transfers in High-Order Harmonic-Generation Spectra,” Phys. Rev. A. 54, 3634 (1996).
R.A. Ganeev, “High Order Harmonics Generation in Laser Surface Ablation: Current Trends,” Phys. Usp. 56, 772 (2013).
R.A. Ganeev, High-Order Harmonic Generation in Laser Plasma Plumes (Imperial College Press, London, 2012).
R.A. Ganeev, T. Witting, C. Hutchison, V.V. Strelkov, F. Frank, M. Castillejo, I. Lopez-Quintas, Z. Abdelrahman, J. W. G. Tisch, and J. P. Marangos, “Comparative Studies of Resonance Enhancement of Harmonic Radiation in Indium Plasma Using Multicycle and Few-Cycle Pulses,” Phys. Rev. A. 88, 033838 (2013)
V.V. Strelkov, M.A. Khokhlova, and N.Yu. Shubin, “High-Order Harmonic Generation and Fano Resonances,” Phys. Rev. A. 89, 053833 (2014)
E. Fiordilino, F. Morales, G. Castiglia, P.P. Corso, R. Daniele, and V.V. Strelkov, “High-Order Harmonic Generation Via Bound-Bound Transitions in Elliptically Polarized Laser Field,” JOSA B. 34(1), 2673 (2017).
S. Beaulieu, S. Camp, D. Descamps, A. Comby, V. Wanie, St. Petit, F. Léaré, K.J. Schafer, M.B. Gaarde, F. Catoire, and Y. Mairesse, “Role of Excited States In High-Order Harmonic Generation,” Phys. Rev. Lett. 117, 203001 (2016).
A.V. Bogatskaya, E.A. Volkova, V.Yu. Kharin, and A.M. Popov, “Polarization Response in Extreme Nonlinear Optics: When Can the Semiclassical Approach Be Used?” Laser Phys. Lett. 13, 045301 (2016).
H.A. Kramers, Collective Scientific Papers (North-Holland, Amsterdam, 1956), p. 262.
W. Henneberger, “Perturbation Method for Atoms in Intense Light Beams,” Phys. Rev. Lett. 21(12), 838 (1968).
L. Dimou and F.H.M. Feisal, “The Radiative Close Coupling Theory and Its Application to Ionization; Scattering in Intense Laser Fields,” Laser Phys. 3(2), 440 (1993).
V.C. Reed, K. Burnett, and P.L. Knight, “Harmonic Generation in the Kramers-Henneberger Stabilization Regime,” Phys. Rev. A. 47, R34 (1993).
S.C. Rae, K. Burnett, and J. Cooper, “Generation and Propagation of High-Order Harmonics in a Rapidly Ionizing Medium,” Phys. Rev. A. 50, 3438 (1994).
V.B. Berestetskii, E.M. Lifshitz, and L.P. Pitaevskii, Course of Theoretical Physics. Vol.4: Quantum Electrodynamics (Elsevier, 1982).
E.V. Gryzlova, A.I. Magunov, and S.I. Strakhova, “Influence of the Laser-Induced Continuum Structure on Cross Sections of the Over Threshold Scattering of Photons on Atom,” Opt. Spectrosc. 110(2), 153 (2011).
V.V. Strelkov, A.F. Sterjantov, N.Yu. Shubin, and V.T. Platonenko, “XUV Generation with Several-Cycle Laser Pulse in Barrier-Suppression Regime,” J. Phys. B: At. Mol. Opt. Phys. 39, 577 (2006).
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Magunov, A.I., Strelkov, V.V. S-matrix approach to the problem of high-harmonic generation in the field of intense laser wave. Phys. Wave Phen. 25, 24–29 (2017). https://doi.org/10.3103/S1541308X17010046
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DOI: https://doi.org/10.3103/S1541308X17010046