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We propose a mechanism to achieve the group velocity control of bifurcationlight via an imaginary coupling effect in the non-reciprocal lattice. Thephysical model is composed of two-layer photonic lattices with non-reciprocalcoupling in each unit cell, which can support a real energy spectrum with apair of Dirac points in the first Brillouin zone due to the Hermicity.Furthermore, we show that the systems experience topological phase transitionat the Dirac points by tuning the coupling strength, allowing the existence oftopological edge states on the left or right boundaries of respective latticelayers. By adjusting the imaginary coupling and the wave number, the groupvelocity of the light wave can be manipulated, and bifurcation lighttransmission can be achieved both at the Dirac points and the condition withoutthe group velocity dispersion. Our work might guide the design of photonicdirectional couplers with group velocity control functions.

Imaginary coupling induced Dirac points and group velocity control in non-reciprocal Hermitian Lattice