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

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 {ital et} {ital al}. in {ital Proceedings} {ital of} {ital the} {ital SILAP} {ital III} {ital Works} {ital 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 {ital I}{sub {ital p}}+3.17{ital U}{sub {ital p}}, where {ital I}{sub {ital p}} is the atomic ionization potential and {ital U}{sub {ital p}} is the ponderomotive energy, due to the account for quantum tunneling and diffusion effects.

Authors:
; ; ; ;  [1]
  1. Joint Institute for Laboratory Astrophysics, University of Colorado, Boulder, Colorado 80309-0440 (United States)|[Service des Photons, Atomes et Molecules, Centre d`Etudes de Saclay, 91191 Gif sur Yvette (France)|[National Research Council of Canada, M-23A, Ottawa, Ontario, K1AOR6 (Canada)|[Lawrence Livermore National Laboratory, L-443, P.O. Box 5508, Livermore, California 94550 (United States)
Publication Date:
OSTI Identifier:
142643
Resource Type:
Journal Article
Journal Name:
Physical Review A
Additional Journal Information:
Journal Volume: 49; Journal Issue: 3; Other Information: PBD: Mar 1994
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING NOT INCLUDED IN OTHER CATEGORIES; 66 PHYSICS; LASER RADIATION; HARMONIC GENERATION; SPECTRA; PHOTON-ATOM COLLISIONS; IONIZATION; MATRIX ELEMENTS; TUNNEL EFFECT; DIFFUSION; MULTI-PHOTON PROCESSES

Citation Formats

Lewenstein, M., Balcou, P., Ivanov, M.Y., L`Huillier, A., and Corkum, P.B. Theory of high-harmonic generation by low-frequency laser fields. United States: N. p., 1994. Web. doi:10.1103/PhysRevA.49.2117.
Lewenstein, M., Balcou, P., Ivanov, M.Y., L`Huillier, A., & Corkum, P.B. Theory of high-harmonic generation by low-frequency laser fields. United States. doi:10.1103/PhysRevA.49.2117.
Lewenstein, M., Balcou, P., Ivanov, M.Y., L`Huillier, A., and Corkum, P.B. Tue . "Theory of high-harmonic generation by low-frequency laser fields". United States. doi:10.1103/PhysRevA.49.2117.
@article{osti_142643,
title = {Theory of high-harmonic generation by low-frequency laser fields},
author = {Lewenstein, M. and Balcou, P. and Ivanov, M.Y. and L`Huillier, A. and Corkum, P.B.},
abstractNote = {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 {ital et} {ital al}. in {ital Proceedings} {ital of} {ital the} {ital SILAP} {ital III} {ital Works} {ital 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 {ital I}{sub {ital p}}+3.17{ital U}{sub {ital p}}, where {ital I}{sub {ital p}} is the atomic ionization potential and {ital U}{sub {ital p}} is the ponderomotive energy, due to the account for quantum tunneling and diffusion effects.},
doi = {10.1103/PhysRevA.49.2117},
journal = {Physical Review A},
number = 3,
volume = 49,
place = {United States},
year = {1994},
month = {3}
}