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Physica D Nonlinear Phenomena

Dispersive medium’s normal coupled modes and low threshold optical bistability in a symmetric one-dimensional photonic crystal

Qing-hua Liao, Nian-Hua Liu

Published Aug 9, 2005• 4 citations
Publisher
DOI
10.1016/j.physd.2005.07.007

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The transfer matrix, which represents the dispersive medium's layer, can be rigorously obtained by using Lorentz model and considering boundary conditions. The detailed investigation on polaritons in a symmetric photonic crystal with absorptive type of dispersive medium's layer is presented by adjusting parameters of the dispersive medium's layer. It's found that the absorptive type of dispersive cavity and reinforced dispersive cavity may demonstrate similar properties in normal modes coupling, the homogeneous broadening effect, and the detuning effect. But there exists evident differences in transmitted intensity and frequency shift. Finally, the optical bistability in one-dimensional symmetric photonic crystal both with absorptive type of dispersive medium's layer and with Kerr nonlinear layer is also investigated. It's found that optical bistability threshold of the photonic crystal with dispersive medium layer is a little lower than that of structure without dispersive medium laver.
We study the optical bistable properties in one-dimensional photonic crystal with symmetric structure (AB)N(D)M(BA)N, where A is high refractive index medium, B is low refractive index medium, D is defect layer, N is the number of layer periods at the left and right of the defect layer. M determines the thickness of the defect layer with Kerr medium. First, we analyze mechanisms producing bistability by the structure consisted of a nonlinear layer sandwiched between Bragg reflectors. Then by using the transfer matrix method, we calculate numerically the threshold value of the bistability switching in one-dimensional photonic crystals with structure (AB)N(D)M(BA)N. The investigations show that the number of layer periods (N) and the thickness of the defect layer (M) influence the threshold value of the bistability switching. We confirm the parameter of the bistability switching to produce the lower threshold value.