A 2-D SW-banyan network is introduced by properly folding the 1-D SW-b
anyan network, and its corresponding optical setup is proposed by mean
s of polarizing beamsplitters and 2-D phase spatial light modulators.
Then, based on the characteristics and the proposed optical setup, the
control for the routing path between any source-destination pair is g
iven, and the method to determine whether a given permutation is permi
ssible or not is discussed. Because the proposed optical setup consist
s of only optical polarization elements, it is compact in structure, i
ts corresponding energy loss and crosstalk are low, and its correspond
ing available number of channels is high. (C) 1996 Society of Photo-Op
tical Instrumentation Engineers.