We extend the Blonder-Tinkham-Klapwijk (BTK) theory to study transport properties of semiconductor two-dimensional electron gas (2DEG)/superconductor junctions, including the Rashbar spin-orbit interaction in a 2DEG of finite width. The effects of Rashba spin-orbit interaction on the conductance are investigated, and a reduction of this conductance is found. A couple of well known results for quantized conductance are verified. Moreover, the averaged spin value and shape of spin fluctuation in the 2DEG are calculated. It is found that the y-component of the spin (S(y)) is even, while the x- and z-components are odd, with respect to the propagating mode index. Consequently, S(x) and S(z) are summed up to vanish, while S(y) accumulates to a finite value. S(y) is explicitly given and a spin-polarization in the y-direction is found in the 2DEG near the interface.
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