In recent years

the properties of the surface polaron in polar crystals in a magnetic field have been of considerable interest.Larsen proposed a fourth-order perturbation method to calculate the ground state energy of two-dimensional polaron in a magnetic field.Wei et al. studied the cyclotron resonance mass and resonance frequency of the interface magnetopolaron using the Green's function method.The properties of surface polaron in a magnetic field have been discussed by linear combination operator method by the present authors and co-workers. In fact

so far research on the surface magnetopolaron was restricted to the approximation and calculation where the interaction of the surface electron with LO and SO phonons is considered

whereas the interaction of the surface electron with SA phonon is neglected.So far

the research on the quasi particle

the acoustic deformation potential (ADP) polaron

formed by the interaction of electrons with acoustic lattice vibration is very scarce. In this paper

the properties of the surface magnetopolaron interacting with the deformation potential in polar crystals

which has a weak coupling with surface optical phonon and surface acoustic phonon

are studied.The effective mass of the surface magnetopolaron interacting with the deformation potential in polar crystals is derived by using linear combination operator method.