The direct observations of some MBE grown superlattices show large int
erfacial undulations, which is attributed to the elastic relaxation of
tensile layers. Assuming that the interface lateral lattice deformati
on, due to ionic radii misfit, is given by the periodic solution of th
e Frenkel-Kontorova model, we calculate the magnetoelastic contributio
n to the biquadratic magnetic coupling between ferromagnetic layers ac
ross the nonmagnetic spacer. We show that due to the correlated modula
tions of the effective bilinear exchange integral, there arises a biqu
adratic exchange which favours perpendicular orientations of magnetiza
tion in adjacent ferromagnetic layers.