光子学报, 2014, 43 (9): 0923001, 网络出版: 2014-10-23
非线性一维光子晶体反射谱的多值特征研究
Multiple-valued Characteristic Research of Nonlinear One-dimensional Photonic Crystal Reflection Spectrum
非线性 克尔介质 光学滤波器 反射谱 多值特征 阈值 Nonlinear Kerr medium Optical filter Reflection spectrum Multiple-valued feature Threshold
摘要
以含有一层kerr非线性介质的一维光子晶体为对象, 基于子层逆向递推算法, 给出了非线性反射谱一种简单有效的数值计算方法.基于此方法得到了该结构在1 535~1 565 nm范围内的非线性反射谱.当输入光强高于阈值时, 缺陷模缓慢移动并出现弯曲倾斜的多值特征.分析了上跳波长、下跳波长随输入光强的变化趋势.研究了线性周期介质和非线性介质结构参数对反射谱的影响.研究表明: 增加周期介质的周期、高低折射率比和非线性层厚度都能使缺陷模变窄, 输入光强阈值和上跳波长、下跳波长的阈值波长降低; 而非线性介质的三阶非线性系数增大时, 输入光强阈值降低, 但缺陷模宽度、上跳波长和下跳波长的阈值波长没有明显改变.这种多值特征对于设计光学开关、光学滤波器等有着重要的指导作用.
Abstract
Based on the sublayer division and backward recursion algorithm, a simple and efficient numerical method for calculating the nonlinear reflection spectrum of one-dimensional photonic crystal with one kerr nonlinear defect layer was presented.The nonlinear reflection spectrum in the wavelength range of 1 535 nm to 1 565 nm was obtained by the method.When incident intensity is higher than the threshold, the defect mode moves slowly and appears inclined curved multiple-valued features at certain wavelengths.The influence of incident intensity on jump-up wavelength and jump-down wavelength was analyzed.The influence of parameters of periodic dielectric layer and nonlinear layer on reflection spectrum were investigated systematically.The results showed that the period, high-low refractive index ratio of periodic medium and the thickness of nonlinear defect layer is increased, the defect mode width is narrowed and the threshold of incident intensity, jump-on and jump-down wavelength is decreased.While when the third-order nonlinear coefficient is increased for nonlinear layer, the threshold of incident intensity is decreased and the defect mode width, jump-on and jump-down wavelength threshold is not changed obviously.The multiple-valued feature has an important role in the design of optical switch, optical filter, et al.
张荣军, 张娟, 夏睿申. 非线性一维光子晶体反射谱的多值特征研究[J]. 光子学报, 2014, 43(9): 0923001. ZHANG Rong-jun, ZHANG Juan, XIA Rui-shen. Multiple-valued Characteristic Research of Nonlinear One-dimensional Photonic Crystal Reflection Spectrum[J]. ACTA PHOTONICA SINICA, 2014, 43(9): 0923001.