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We study ballistic electron transport through a finite chain of quantumcircular rings in the presence of spin-orbit interaction of strength \alpha.For a single ring the transmission and reflection coefficients are obtainedanalytically and from them the conductance for a chain of rings as a functionof \alpha and of the wave vector k of the incident electron. We show that dueto destructive spin interferences the chain can be totaly opaque for certainranges of k the width of which depends on the value of \alpha. A periodicmodulation of the strength \alpha or of the ring radius widens up the gapsconsiderably and produces a nearly binary conductance output.Comment: 4 pages, 4 figures. Appl. Phys. Lett., in pres

Spin-dependent transmission through a chain of rings: Influenceof a periodically modulated spin–orbit interaction strength or ring radius