基于辛普森公式的对称分步傅里叶变换孤子串的传输特性（英文）

Characteristics of Transmission for the Solitons String Based on Simpson Algorithm of Modified Symmetric Split-Step Fourier Method

针对孤子串在传输过程中发生周期性碰撞,导致信息串扰的问题,提出采用准确度较高的辛普森公式近似地改进对称分步傅里叶变换,对孤子串的传输特性及传输过程进行数值模拟.实验结果表明,当初始半间距为2.5时,对于孤子对、三孤子、四孤子、五孤子和六孤子而言,只考虑自陡峭效应且自陡峭系数都为0.02时,或者只考虑自频移效应且自频移系数分别为1、1、3、2、1.5时,都能有效地减少孤子间的碰撞,增加孤子碰撞前的独立传输距离,当同时考虑自陡峭效应和自频移效应时,自频移效应占主导作用.

For the problem of information crosstalk that caused by periodic soliton string collision in the transmission,the modified symmetric split-step Fourier method that approximated by higher-precision Simpson algorithm was presented,and then the soliton string characteristics and transmitting procedure were simulated.It is impoint that the precision of method is more over than two orders of magnitude compared with the traditional method.The experimental results show that the solitons collision was decreased and the collision-free dependent transmission distance was increased,for the soliton pairs,threesoliton,four-soliton,five-soliton and six-soliton when only considered the self-steepening coefficient were0.02 and only considered the self-frequency shift coefficient were 1,1,3,2and 1.5,respectively.Meanwhile,the self-steepening and the self-frequency shift effect were simultaneously considered,the self-frequency shift effect was predominant effect.The results indicated that the suitable parameters have a significant influence for the amount of information of soliton transmission.