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本文采用分步傅里叶法, 研究了在反常色散区孤子和艾里脉冲相互作用的规律, 并且对相互作用后的孤子和艾里脉冲他们各自的强度、时域和时移进行了MATLAB仿真. 通过仿真发现光孤子和艾里脉冲在光纤中相互重叠时, 交叉相位调制(XPM)就会建立并且这种调制会影响孤子和艾里脉冲的性质. 在相互作用过程中, 孤子的形状保持不变但是受到艾里脉冲自加速特性的影响孤子会发生偏移. 艾里脉冲受XPM的影响会转化为孤子, 传播方向也会发生偏移. 可见, XPM使得艾里脉冲和孤子各自的性质都相互影响着对方. 艾里脉冲和孤子他们的时域也会受到XPM的影响, 使得原本不相同的脉冲形状都转变为含有一个主峰和一个次峰的相似结构并且主峰和次峰的位置和脉冲宽度也大致相同, 这也是艾里脉冲能够转换为孤子的一个依据. 另外本文还模拟了不同输入强度r下的孤子和艾里脉冲的变化情况, 模拟发现不管是艾里脉冲还是孤子时移都随着输入强度r的增大而增大并且他们的变化趋势都是一样的, 同时模拟还发现在相同的的r值下, 时移也会随着a值的增大而增大.Based on the split step Fourier method, the interaction between soliton and Airy pulse is studied in the anomalous dispersion region. And after that the strength, time-domain, and time-shift are simulated by the software of MATLAB, respectively. Results show that cross phase modulation (XPM) builds up when soliton and Airy pulse begin to overlap, which affects the properties of the two pulses. The soliton keeps its original shape but the direction of propagation is deflected by the influence of Airy pulse's self-acceleration. Airy pulse converts to soliton and the direction of propagation changes due to XPM. Therefore, the properties of Airy pulse and soliton are interacted with each other because of XPM. The time-domain of the two pulses is also influenced by XPM and their different shapes will change so as to contain a main and a secondary peaks whose structures are similar and the location and pulse width of the main and the secondary peaks are also roughly the same, which is the basis for Airy pulse to convert to soliton. In addition, the change of Airy pulse and soliton is simulated for different input intensity value of r. Simulation shows that the time-shifts of Airy pulse and soliton increase with increasing input intensity r and their variation trends are the same.
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Keywords:
- Airy pulse /
- soliton /
- anomalous dispersion region /
- cross phase modulation
[1] Siviloglou G A, Christodoulides D N 2007 Opt. Lett. 32 979
[2] Siviloglou G A, Brokly J, Dogariu A, Christodoulides D 2007 Phys. Rev. Lett. 99 213901
[3] Siviloglou G A, Christodoulides D N 2007 Opt. Lett. 32 979
[4] Cai W Y, Mills M S, Christodoulides D N, Wen S C 2014 Optics Communications 316 127
[5] Fattal Y, Rudnick A, Marom D M 2011 Opt. Express 19 17299
[6] Baldeck P L, Alfano R R, Agrawal G P 1988 Appl. Phys. Lett. 52 1939
[7] Yu Y, Jia W G, Yan Q, Menke Neimule, Zhang J P 2015 Chin. Phys. B 24 084210
[8] Yu Y, Jia W G, Yan Q, Menke N M L, Zhang J P 2015 Acta Phys. Sin. 64 054207 (in Chinese) [于宇, 贾维国, 闫青, 门克内木乐, 张俊平 2015 64 054207]
[9] Wang M J, Jia W G, Zhang S Y, Menke N M L, Yang J, Zhang J P 2015 Acta Phys. Sin. 64 034212 (in Chinese) [王美洁, 贾维国, 张思远, 门克内木乐, 杨军, 张俊平 2015 64 034212]
[10] Ren Z J, Wu Q, Zhou W D, Wu G Z, Shi Y L 2012 Acta Phys. Sin. 61 174207 (in Chinese) [任志君, 吴琼, 周卫东, 吴根柱, 施逸乐 2012 61 174207]
[11] Broky J, Siviloglou G A, Dogariu A, Christodoulides D 2008 Opt. Express 16 12880
[12] Polyn kin P, Kolesik M, Moloney J V, Sivilogou G A, Christodoulides D N 2009 Science 324 229
[13] Abdollahpour D, Suntsov S, Papazoglou D, Tzortzakis S 2010 Phys. Rev. Lett. 105 253901
[14] Chen C Y, Yang H M, Mohsen K, Zhou Z 2014 Optics and Lasers in Engineering 52 106
[15] Baumgartl J, Mazilu M, Dholakia K 2008 Nat Photonics 2 675
[16] Belanger N, Belanger P A 1996 Opt. Commun. 124 301
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[1] Siviloglou G A, Christodoulides D N 2007 Opt. Lett. 32 979
[2] Siviloglou G A, Brokly J, Dogariu A, Christodoulides D 2007 Phys. Rev. Lett. 99 213901
[3] Siviloglou G A, Christodoulides D N 2007 Opt. Lett. 32 979
[4] Cai W Y, Mills M S, Christodoulides D N, Wen S C 2014 Optics Communications 316 127
[5] Fattal Y, Rudnick A, Marom D M 2011 Opt. Express 19 17299
[6] Baldeck P L, Alfano R R, Agrawal G P 1988 Appl. Phys. Lett. 52 1939
[7] Yu Y, Jia W G, Yan Q, Menke Neimule, Zhang J P 2015 Chin. Phys. B 24 084210
[8] Yu Y, Jia W G, Yan Q, Menke N M L, Zhang J P 2015 Acta Phys. Sin. 64 054207 (in Chinese) [于宇, 贾维国, 闫青, 门克内木乐, 张俊平 2015 64 054207]
[9] Wang M J, Jia W G, Zhang S Y, Menke N M L, Yang J, Zhang J P 2015 Acta Phys. Sin. 64 034212 (in Chinese) [王美洁, 贾维国, 张思远, 门克内木乐, 杨军, 张俊平 2015 64 034212]
[10] Ren Z J, Wu Q, Zhou W D, Wu G Z, Shi Y L 2012 Acta Phys. Sin. 61 174207 (in Chinese) [任志君, 吴琼, 周卫东, 吴根柱, 施逸乐 2012 61 174207]
[11] Broky J, Siviloglou G A, Dogariu A, Christodoulides D 2008 Opt. Express 16 12880
[12] Polyn kin P, Kolesik M, Moloney J V, Sivilogou G A, Christodoulides D N 2009 Science 324 229
[13] Abdollahpour D, Suntsov S, Papazoglou D, Tzortzakis S 2010 Phys. Rev. Lett. 105 253901
[14] Chen C Y, Yang H M, Mohsen K, Zhou Z 2014 Optics and Lasers in Engineering 52 106
[15] Baumgartl J, Mazilu M, Dholakia K 2008 Nat Photonics 2 675
[16] Belanger N, Belanger P A 1996 Opt. Commun. 124 301
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