This paper proposes a new method for constructing a two-stage dual photon switch with enhanced functional characteristics in the system basis of low-channel photon switches and photon multiplexers and demultiplexers. The method yields non-blocking switches with static self-routing. Also, the method ensures a significant speed-up for the switches with the same number of channels and a significant increase in the number of channels with the same speed compared to the non-blocking dual switches known previously. The non-blocking self-routing dual photon switches presented below have the highest possible speed and a maximum possible number of channels with almost the same complexity. As is shown in the paper, the dual switches have a switching complexity comparable with full switches and, at the same time, a lower channel complexity.