Theory of high-harmonic generation by low-frequency laser fields

From National Research Council Canada

DOIResolve DOI: https://doi.org/10.1103/PhysRevA.49.2117
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Name affiliation
  1. National Research Council of Canada
FormatText, Article
Journal titlePhysical Review A
ISSN1050-2947
Volume49
Issue3
Pages2117–2132
Subjectatomic physics; diffusion; electrons; electron energy levels; electron scattering; electron transitions; harmonic analysis; harmonic generation; laser beams; light polarization; mathematical models; atomic dipole matrix elements; atomic potentials; Floquet equations; ground state; ionization energy; low frequency laser fields; ponderomotive energy; quantum tunneling; saddle point method; Schrodinger equations; quantum theory
Abstract
We present a simple, analytic, and fully quantum theory of high-harmonic generation by low-frequency laser fields. The theory recovers the classical interpretation of Kulander et al. in Proceedings of the SILAP III Works hop, edited by B. Piraux (Plenum, New York, 1993) and Corkum [Phys. Rev. Lett. 71, 1994 (1993)] and clearly explains why the single-atom harmonic-generation spectra fall off at an energy approximately equal to the ionization energy plus about three times the oscillation energy of a free electron in the field. The theory is valid for arbitrary atomic potentials and can be generalized to describe laser fields of arbitrary ellipticity and spectrum. We discuss the role of atomic dipole matrix elements, electron rescattering processes, and of depletion of the ground state. We present the exact quantum-mechanical formula for the harmonic cutoff that differs from the phenomenological law Ip+3.17Up, where Ip is the atomic ionization potential and Up is the ponderomotive energy, due to the account for quantum tunneling and diffusion effects.
Publication date
LanguageEnglish
Peer reviewedYes
NPARC number21276178
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