  We study the transverse electron focusing in a two dimensional electron gas
with Rashba spin-orbit coupling. We show that the interplay between the
external magnetic field and the spin-orbit coupling gives two branches of
states with different cyclotron radius within the same energy window. This
effect generates a splitting of the first focusing peak in two contributions.
Each one of these contributions is spin polarized. The surface reflection mixes
the two branches and the second focusing peak does not present the same effect.
While for GaAs/AlGaAs heterostructures the effect is small, in systems like
InSb/InAlSb the effect should be clearly observed.
