  The spin-dependent electron transmission through a helical membrane with
account of linear spin-orbit interaction has been investigated by numerically
solving the Schr\"odinger equation in cylindrical coordinates . It is shown
that the spin precession is affected by the magnitude of geometric parameters
and chirality of the membrane. This effect is also explained analytically by
using the perturbation theory in the weak coupling regime. In the strong
coupling regime, the current spin polarization is evident when the number of
the open modes in leads is larger than that of the open channels in the
membrane. Moreover, we find that the chirality of the helical membrane can
determine the orientation of current spin polarization. Therefore, one may get
totally opposite spin currents from the helical membranes rolled against
different directions.
