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We analyze the spin expectation values for injected spin-polarized electrons(spin vectors) in a [001]-grown Rashba-Dresselhaus two-dimensional electron gas(2DEG). We generalize the calculation for point spin injection in semi-infinite2DEGs to finite-size spin injection in bounded 2DEGs. Using the obtained spinvector formula, significance of the channel direction for the Datta-Dastransistor is illustrated. Numerical results indicate that the influence due tothe finite-size injection is moderate, while the channel boundary reflectionmay bring unexpected changes. Both effects are concluded to decrease when thespin-orbit coupling strength is strong. Hence [110] is a robust channeldirection and is therefore the best candidate for the design of the Datta-Dastransistor.Comment: 5 pages, 4 figures, accepted for publication in Physical Review

Datta-Das transistor: Significance of channel direction, size dependence of source contacts, and boundary effects