The a.c. electric field distribution is studied in composite, containi
ng materials with small local losses. The possibility that a 2D two-co
mponent system can have effective absorption in the absence of local a
bsorption was evidenced (A.M. Dykhne, Zh. Eksp. Teor. Fiz. 59 (1970) 1
10). We study the second and higher moments of electric field and show
that they diverge with the decrease of local absorption, The 3D syste
m near the percolation threshold is also discussed. The observation of
giant field fluctuations in granular films first discovered by Brouer
s et al. and Lagarkov et al, is explained.