  Spin dependent transport in a multi-terminal mesoscopic ring is investigated
in presence of Rashba and Dresselhaus spin-orbit interactions. Within a
tight-binding framework we use a general spin density matrix formalism to
evaluate all three components ($P_x$, $P_y$ and $P_z$) of the polarization
vector associated with the charge current through the outgoing leads. It
explores the dynamics of the spin polarization vector of current propagating
through the system subjected to the Rashba and/or the Dresselhaus spin-orbit
couplings. The sensitivity of the polarization components on the electrode-ring
interface geometry is discussed in detail. Our present analysis provides an
understanding of the coupled spin and electron transport in mesoscopic bridge
systems.
