We present the theory of dielectric spectra allowing for homogeneous and in
homogeneous broadening mechanisms contributions. The dielectric absorption
line shape for oscillators with memory and Debye type relaxors with distrib
ution or respectively, resonant frequencies and relaxation times (due to ra
ndom electric fields distribution) has been calculated. The conditions of h
ole burning observation are discussed. It is shown that the investigations
of the inhomogeneously broadened line shape and width as well as hole burni
ng can give valuable information about the distribution of random fields an
d relaxation times. The latter seems to be extremely important for the diso
rdered systems like supercooled liquids and relaxer ferroelectrics.