Vp. Gavrilenko et E. Oks, POLARIZATION OF A DIPOLE GAS UNDER A RESONANT INTERACTION WITH A STRONG BICHROMATIC FIELD, Journal of physics. B, Atomic molecular and optical physics, 28(8), 1995, pp. 1433-1441
An interaction of an atomic/molecular medium with two strong electric
fields E(L)(t) and E(M)(t) is investigated. The frequency omega(L) of
the first (laser) field E(L)(t) is close to a transition frequency ome
ga(21) between an upper (2) and a lower (1) atomic levels while the se
cond field E(M)(t) is of a much lower frequency omega(M) much less tha
n(21). The medium is a dipole gas characterized by a nonzero averaged
value of electric dipole moment in the states 1 and/or 2. An analytica
l solution of equations for the density matrix of a dipole atom/molecu
le interacting with the fields E(L)(t) and E(M)(t) is found using the
second approximation of the averaging method by Krylov-Bogoliubov-Mitr
opolskii. The solution obtained is valid in a much broader range of fi
eld strengths than an analogous solution that could have been found by
the usual time-dependent perturbation theory. Using the solution obta
ined for the density matrix, polarization of a dipole gas interacting
with the fields E(L)(t) and E(M)(t) is analytically calculated. This a
nalytical expression for polarization of such media can be utilized fo
r study of various nonlinear optical phenomena. One of the phenomena i
s a generation of waves at frequencies omega(L) +/- p omega(M) and (p
+ 1)<omega(M) p = (where p = 1, 2, 3,...) in a dipole gas. Another phe
nomenon is an amplification of the incident wave of the lower frequenc
y omega(M) due to a stimulated scattering in a dipole gas.