Optical transitions in small band offset superlattices are studied wit
hin the framework of the nearly free electron approximation, in which
the weak superlattice potential is treated as a perturbation. Interban
d selection rules are derived for transitions involving conduction and
valence band states at the superlattice Brillouin zone center and the
zone edge. It is found that a number of new transitions can occur in
such small-offset superlattices due to wave function mixing of differe
nt subband states. The effect of the effective mass on the optical tra
nsitions is also discussed. The theory is used to explain the results
observed in magneto-optical absorption experiment in ZnSe/Zn1-xMnxSe s
mall-offset superlattices. Furthermore, the nearly free electron formu
lation is found to be in excellent agreement with rigorous multi-band
numerical calculation on superlattices involving small band offsets.