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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Analysis of bistable switching threshold in one-dimensional photonic crystals

Meiping Jiang, Xiaoming Shen, Xingfang Jiang, Du Fang Shi

Published Feb 11, 2005• 1 citation
Publisher

Abstract

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.

DOI
10.1117/12.575490

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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.
It is studied the defect mode and bistability properties of a nonlinear medium sandwiched between Bragg reflectors composed of one-dimensional photonic crystal by numerical calculation and theoretical analysis.The influence of defect layer thickness and quasi-periodic Bragg reflectors on defect mode and bistability is discussed.It is revealed that the defect mode shift to lower frequency when the increasing thickness of defect layer or refractive index of Bragg reflectors.Hence microcavity resonant mode is superposition with incident wave mode at lower incident intensity,and produce the bistability with lower threshold.The numerical calculation results accord with theoretical analysis.It is significant for design of photonic crystal microcavity.
In this paper, a one-dimensional photonic crystal composed of two defect layers with optical gain is considered. We place a nonlinear layer between two defect layers. Using the modified transfer matrix method, the effect of increasing the optical gain on the bistablity threshold is studied in both normal and oblique incidences. Our calculations show that the threshold of bistability decreases with increasing the optical gain. However, increasing the optical gain above a particular value leads to the enhancement of bistability threshold.
The transmittance of defect mode in one dimension photonic crystals with nonlinear absorptional dielectric materials was deduced by the transfer matrix theory.The intensity enhancement factor of localized light in defect layer had also been obtained,which increases exponentially with the number of layers in a photonic crystal.The numerical calculation shows that a photonic crystal with saturable absorption dielectric materials in the defect layer has the property of bistablility.The threshold of input intensity to bring about bistablility is decided by parameters of refractivity?saturation intensity of defect layer and decreases exponentially with the number of layers in a photonic crystal.
The optical transfer matrix theory is used to research the transmission characteristics of an one-dimensional photonic crystal.If the defect layer is nonlinear medium which is saturatedly absorbed,the optical bistable properties are studied based on the sensitivity change of incident light transmittivity of nonlinear medium.And the analytical formula related to the input-output of the light intensity is deduced.When the saturated absorption is above a certain value,the optical bistablity will appear in the system.Finally the change law of the incident light threshold value of the optical bistablity is studied.
Considering a one-dimensional photonic crystal covering nonlinear medium layer,the transfer matrix algorithm for one-dimensional inhomogeneous medium was applied to found the theoretical analysis model for the electromagnetic wave propagations.The plane electromagnetic waves solutions were obtained.And numerical realization method was also given out.The investigations show that the method simulated exactly the behavior of electromagnetic wave propagating in 1-D nonlinear medium.And optical bistable switching of 1-D photonic crystal with nonlinear medium layer covering can be shown validly and concisely.