Optical bistability, amplification, and transparency in a one-dimensional photonic crystal with a nonlinear central layer

In this paper, we investigate optical properties of a multilayer one-dimensional photonic crystal, where the central layer is doped with one of different kinds of three-level atomic systems, e.g., Vee, Λ, upper coupling ladder, and lower coupling ladder. Then, the control of optical bistability properties of the photonic crystal, by Rabi frequency of the coupling field, spontaneously generated coherence, and probe detuning, is studied. We discuss the advantages and disadvantages of different systems' optical properties. It is shown that the investigated photonic crystals have a bistability property as well as full transparency. Also, the photonic crystals show some amplification in transmission and even reflection of the probe field.