The present paper investigates the joint influence of fluctuations of
the complex dielectric constant, epsilon, of a medium and its lens pro
perties on random displacements of a radiation beam. Based on a non-tr
aditional approach, an expression is obtained for the variance of the
beam energy centre tremble, sigma(rho)(2), taking into account the con
tribution of fluctuations of the real and imaginary parts of epsilon,
as well as that of their correlations. It was shown that the influence
of fluctuations of the imaginary part of epsilon is particularly pron
ounced in the initial section of the path, as well as in paths of grea
t length. Due to regular refraction, a considerable enhancement of the
dependence of sigma(rho)(2) upon the path length occurs, with the gre
atest contribution being made by fluctuations of the imaginary part of
the dielectric constant. A positive correlation of random changes of
the real and imaginary parts of epsilon was shown to result in a parti
al compensation of the beam tremble.