The electric field dependence of the complex dielectric constant in anharmo
nic ferroelectric crystals are calculated in its paraelectric phase from th
e Silverman-Joseph Hamiltonian augmented with fourth order phonon co-ordina
tes using double time Greens functions technique. The frequency, temperatur
e and electric field dependent dielectric constant of BaTiO3. SrTiO3 and KT
aO3 crystals have been discussed. Dielectric constant increases with increa
se of applied field in BaTiO3, SrTiO3 and KTaO3 cases.