Multi-frequency of Non-reciprocal Optical Directional Amplifier Realized with Non-Hermitian Resonator Arrays

For the non-reciprocal optical device owning multi-frequency, we firstly realize a multi-frequency optical non-reciprocal transmission by using a non-Hermitian multi-mode resonator array. Practically, the multi-frequency can add channels to the non-reciprocal optical device, the non-reciprocity can route optical signals and prevent the reverse flow of noise. Using the Scully-Lamb model and gain saturation effect, we accomplish a dual-frequency non-reciprocal transmission by introducing nonlinearity into a linear array of four-mode resonators. The accomplishment is directly demonstrated by that the non-reciprocal transmission phenomena present in the non-divergent peaks. For example, a directional cyclic amplifier is constructed with non-reciprocal units. As potential applications, the non-reciprocity optical systems can be employed in dual-frequency control, parallel information processing, photonic integrated circuits, optical devices and so on.