We studied polaron effects due to the interaction of an electron with optic
al phonons in ferroelectrics with a layered crystal structure. We evaluated
the polaron self-energy using the effective T-matrix. We showed that trans
ition from the large radius polaron to the small radius polaron is controll
ed by the interlayer interaction or interlayer spacing. We also found that
the polaron interaction with the fluctuations of polarizability near the Cu
rie temperature causes polaron localization.