Ml. Termikaelyan et Gg. Grigoryan, ADIABATIC INTERACTION OF A LASER-PULSE WITH A TRANSPARENT MEDIUM AND THE RELATION OF SELF-PHASE MODULATION WITH MICROSCOPIC PROCESSES, Laser physics, 5(6), 1995, pp. 1171-1178
This paper considers the interaction of a nonmonochromatic plane elect
romagnetic wave with separate atoms and with an entire medium. The pur
pose of this work is to ascertain the relation between macroscopic phe
nomena that accompany the propagation of a pulse in the medium and ele
mentary processes of the interaction of photons from the pulse field w
ith an atom. We analyze this problem by considering self-phase modulat
ion. Because the carrier frequency of the pulse is close to the freque
ncy of one of the atomic transitions, perturbation theory is inapplica
ble and we solve the problem within the framework of the adiabatic app
roximation. The bandwidth of the pulse is much less than the detuning
from the resonance. Therefore, we can assume that the medium is transp
arent. The probabilities of various multiphoton coherent processes of
scattering from separate atoms are calculated. It is demonstrated that
self-phase modulation is due to multiphoton coherent forward scatteri
ng of photons involved in the frequency expansion of a pulse that prop
agates in the medium. The dependence of the characteristics of propaga
ting radiation on the parameters of the medium and on the characterist
ics of the pulse provides the opportunity to experimentally detect the
effect predicted in this paper.