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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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