色散补偿光纤中呼吸波周期行为的剖析  

A Study on Periodic Behavior of Breather type Waves in Optical Fibers with Dispersion Compensation

作　　者：宫成春[1] 黄明游[1] 

机构地区：[1]吉林大学数学研究所,长春130012

出　　处：《吉林大学自然科学学报》2001年第1期6-14,共9页Acta Scientiarum Naturalium Universitatis Jilinensis

基　　金：国家自然科学基金! (批准号 :10 0 710 30 );高等学校博士学科点专项科研基金 !(批准号 :970 1830 3

摘　　要：沿用近似描述含色散补偿光纤中呼吸波形成与传播机制的一个非自治、二维常微模型 ,讨论此模型中所有可能出现的周期呼吸波 ,按其相空间结构进行分类及全面刻划 ,给出各类呼吸波振幅和周期的一些定性与定量的结果 。A nonautonomous ODE model, derived by Holmes etc., is adopted to describe approximately the formation mechanism and propagation pattern of breather type waves in an optical fiber with dispersion compensation. We classify all kinds of periodic breather type waves in this model by analyzing its invariant manifolds and phase portraits and give these waves an overall characterization. In addition, we prove some qualitative and quantitative results for the wave width and period of every kind of breather type waves. It is expected that these analytical results are useful for the design of high bit rate communication optical fiber.

关 键 词：色散补偿 呼吸波 同宿轨 周期轨 光纤 光通信 形成机制 传播机制 振幅宽度 

分 类 号：TN250.1[电子电信—物理电子学]