Interest in incipient ferroelectrics has been renewed due to their pro
mise for applications at cryogenic temperatures. The dependence of the
dielectric constant of an incipient ferroelectric on temperature and
the applied biasing field can be modeled correctly by solution of the
Ginsburg-Devonshire equation. A set of simple and correct formulas is
derived to provide simulation of the dielectric constant of an incipie
nt ferroelectric as a function of temperature and the biasing field. A
s a typical representative of this, SrTiO3 is used. The inhomogeniety
of the composition or/and structure of the material is quantitatively
described by a specially introduced coefficient. The correlation effec
t is used to describe the size effect for a thin film capacitor. The b
oundary conditions for a ferroelectric polarization on the surface of
electrodes are considered, The boundary conditions are specified for t
he interface between the ferroelectric and the metal or the high tempe
rature superconductor. Comparison of the simulated and experimental da
ta for both the bulk sample and for the thin film capacitor shows good
numerical agreement. The model is intended to be used for developing
the computer aided design of microwave components and devices based on
ferroelectric films. (C) 1997 American Institute of Physics. [S0021-8
979(97)03021-1].