A free-space optical crossbar network integrated in a single block of ${\mathrm{LiNbO}}_3$ crystal is proposed, which consists of stages of $2\times 2$ switches making use of the electro-optic effect of crystal and in-between routing devices for permutation based on double refraction and internal double reflection on interfaces. Two basic configurations are suggested. A control algorithm for the crossbar network is discussed, which may control a nonblocking interconnection between any input and output. The integrated crossbar network is low energy loss, nonblocking, easy to assemble, and insensitive to environment. A $3\times 3$ crossbar network is designed and the experiment is demonstrated.

© 2012 Optical Society of America

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