  We consider a two-dimensional model of the pseudogap state, based on the
scenario of strong electron scattering by fluctuations of ``dielectric'' (AFM,
CDW) short-range order. We construct a system of recurrence equations both for
one-particle Green's function and vertex part, describing electron interaction
with an external field, which take into account all Feynman graphs for electron
scattering by short-range order fluctuations. The results of detailed
calculations of optical conductivity are presented for different geometries
(topologies) of the Fermi surface, demonstrating both the effects of pseudogap
formation and localization effects. These results are in qualitative agreement
with experimental data obtained for high-temperature superconducting cuprates.
