The optical 2×2 switching is the key part of the implementation of the optical multistage interconnection network. In this paper, a method to construct the optical addressed 2×2 switching is presented. It is based on the birefrigence property of the calcite crystal, and the PROM device is used to control the polarization of the input light. This photonic switching has many advantages, and it can be stacked in 3 D directions. The 3 D stacked butterfly network is easy to implement by using this switching.