利用多重尺度理论对暗孤子在变迹光栅中演化特性的研究  

Analysis of dark solitons evolution in apodized fiber gratings based on the multiple-scales theory

作　　者：迎春[1] 敖特根[2] 林琳[1] 关玉琴[1] 

机构地区：[1]内蒙古工业大学理学院物理系 [2]内蒙古化工职业学院

出　　处：《激光杂志》2010年第5期18-20,共3页Laser Journal

基　　金：内蒙古工业大学校基金项目(X200928)资助

摘　　要：从光纤光栅中的耦合波理论出发,利用多重尺度理论推导出光栅中的有效薛定谔方程。并在正常色散区运用快速傅立叶方法数值模拟了暗孤子在升余弦变迹光纤光栅中的演化以及暗孤子之间的相互作用。结果表明,在一定条件下光纤光栅的正常色散区可以维持暗孤子的稳定传输,并且孤子的稳定性与f的取值(孤子离光子带隙的位置)和非线性系数有关。随着f的增大单孤子背景处出现震荡现象;而随着f的增大两个暗孤子中心和背景处都将出现震荡、演化产生灰孤子等现象,但暗孤子之间的相互作用始终很弱;而且f越大,两个孤子的稳定性对非线性效应越敏感。Transmission of the dark solitons and interaction of the dark solitons are simulated with the split step Fourier method in raised cosine-apodized fiber Bragg gratings based on the multiple-scales theory.According to the numerical results,under certain conditions the dark solitons transmission can be maintained in the normal dispersion regine of apodized fiber grating,and the stability of solitons rely on the value of f and nonlinear coefficient.With the increasing f the vibration in the soliton context is produced;and the vibration is produced both in the two dark solitons centers and context and gray is produced solitons from transmission of dark solitons.And the greater f the stability of dark solitons is more sensitive to the nonlinear effects.

关 键 词：多重尺度理论 暗孤子 变迹函数 光纤光栅 

分 类 号：TN253[电子电信—物理电子学]