  We construct a binary synthetic photonic lattice theoretically with an
effective magnetic field by projecting two fiber loops' light intensity and
adjusting the phase distribution precisely. By tuning the phase modulator, wave
vector, and propagation constant of an effective waveguide, the interface's
transmittance could be manipulated. Further light dynamics show that the light
pulse can achieve total reflection without diffraction and exchanges the light
energy in two optical fiber loops completely when phase distribution and wave
vector meet certain conditions. Our study may provide a new way to realize
optical switches in optical interconnection and optical communication.
