We present a reflective optical ring-array interconnect architecture f
or handling data routings under various single-instruction-multiple-da
ta array processing environments. The proposed architecture can perfor
m clock-skew-free optical data communications for either a fixed-degre
e model, such as a nearest-neighbor network, or a variable-degree mode
l, such as a plus-minus-2i network. It is found that space-variant rou
tings, which are difficult to perform in a rectangular-array opto-elec
tronic integrated circuit, can easily be mapped into rotation-invarian
t routines for optical implementation by a ring opto-electronic integr
ated-circuit array. Our system study also shows that the design of the
optical imaging system for interconnecting a ring array of nodes is m
uch easier than that for interconnecting a conventional rectangular-ar
ray topology. Design principles for both the individual optical compon
ents and the entire optical system are described. The optical network
performance parameters, such as the diffraction- and aberration-relate
d processing capabilities, the optical transmitter coupling efficiency
, the optical free-space power distribution loss, and the power-depend
ent element bit rate, are analyzed.