The present work deals with an electron interacting strongly with both
bulk longitudinal optical (LO) phonons and interface (IF) optical pho
nons in which we adopt and generalize the Tokuda's variational method
for studying the interface polaron properties in polar crystals at zer
o temperature. In our approach, we can reduce the Hamiltonian equation
of the system to a pair of integro-differential equations in two vari
ational parameters of the. electron wavefunction from which we can cal
culate various physical properties of an interface polaron including t
he ground state energy, average numbers of interacting phonons, the av
erage distance from the interface and the anisotropic effective masses
of the interface polaron. Numerical results are obtained explicitly f
or LiF crystal interfaced with NaF crystal as well as other similar sy
stems with varying physical constants, which show the typical trends o
f variations for the effects of strong electron-phonon interactions on
different physical properties of an interface polaron.