  The problem of scattering of the two-dimensional electron gas on the lateral
one-dimensional superlattice both having different strengths of Rashba
spin-orbit coupling is investigated. The scattering is considered for all the
electron states on a given Fermi level. The distribution of spin density
components along the superlattice is studied for the transmitted states where
the formation of standing waves is observed. It is found that the shape of spin
density distribution is robust against the variations of the Rashba coupling
constants, the superlattice potential strength, and the Fermi level in the
electron gas.
