基于洛伦兹函数微扰的磁光光纤布喇格光栅线性透射谱和非线性双稳特性研究

Linear Transmission Spectrum and the Nonlinear Bistable Characteristics of Magneto-optic Fiber Bragg Gratings Based on the Lorentzian Function Perturbation

基于非线性耦合模理论,利用逆向递推龙格-库塔法,数值研究了在磁光耦合系数中引入洛伦兹函数微扰后对磁光光纤布喇格光栅线性透射谱和非线性双稳特性的影响.研究结果表明:给磁光耦合系数引入洛伦兹微扰能在线性透射谱阻带中打开线宽极窄的一个透射窗口,微扰宽度和微扰中心位置可以影响透射窗口的位置、宽度以及峰值大小;当微扰宽度和微扰中心位置发生变化时,光栅的双稳特性表现出明显的差异,合理地选择微扰参量可以实现对其双稳特性的优化.

Based on the nonlinear coupled mode theory,by using the reversely recursive Runge-Kutta method,the influence of introducing the Lorentzian function perturbation to the magneto-optic coupling coefficient on the linear transmission spectrum and the bistable characteristics of magneto-optic fiber Bragg gratings is investigated numerically.The results of the study show that introducing the Lorentzian perturbation to the magneto-optic coupling coefficient can open up a narrow transmission window in the linear transmission spectrum stop-band.The perturbation widths and the perturbation center positions can affect the position,the width,and the peak amplitude of the transmission window.The bistable characteristics can show significant differences when the perturbation widths and the perturbation center positions change.The bistable characteristics can be further optimized by choosing perturbation parameters reasonably.