Vt. Platonenko et Vv. Strelkov, GENERATION OF HIGH-ORDER HARMONICS IN A HIGH-INTENSITY LASER-RADIATION FIELD, Quantum electronics, 28(7), 1998, pp. 564-583
An analysis is made of the generation of high-order harmonics by atoms
and ions in high-intensity laser beams. A brief description is given
of the main experimental relationships governing such generation, of m
ethods for numerical solution of the Schrodinger equation for an atom
in a strong field, and of some approximate models which make it possib
le to understand the mechanism of the effect (in particular, the 'semi
classical' model). A detailed discussion is made of an analytic quantu
m-mechanical theory of high-order harmonic generation in a one-electro
n system with the Coulomb, delta-like, and other potentials. Expressio
ns are provided for the complex amplitudes of harmonics generated by m
onochromatic and bichromatic excitation. The results of simulation of
high-order harmonic generation in an extended medium are given. This s
imulation takes into account the phases of the harmonics and their dep
endences on the amplitude of the fundamental-frequency field. The phas
e-matching problem and ways of solving it, the problem of the spectrum
and duration of a pulse of a single harmonic and of the feasibility o
f controlling them, the problem of the total harmonic field, and other
topics are considered.