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Asymmetrical collisions among three coherent photovoltaic spatial solitons are investigated by numerical method. The numerical results show that the solitons will split or annihilate depending on the incident angle of signal beams in a certain range. If we only change the initial phase difference among the solitons, the collision behavior of solitons will also change correspondingly, showing an interesting conversion of split between annihilation. Furthermore, the numerical results show that the photovoltaic spatial solitons will maintain conservations of momentum and energy in these collision processes, although the dynamical system of photovoltaic solitons is a non-integrable Hamilton one.
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Keywords:
- photovoltaic soliton /
- asymmetrical collision /
- split /
- annihilate
[1] Chiao R Y, Garmire E, Townes C H 1964 Phys. Rev. Lett. 13 479
[2] Segev M, Crosignani B, Yariv A, Fischer B 1992 Phys. Rev. Lett. 68 923
[3] Duree G C, Jr., Shultz J L, Salamo G J, Segev M, Yariv A, Crosignani B, Porto P D, Sharp E J, Neurgaonkar R R 1993 Phys. Rev. Lett. 71 533
[4] Duree G, Morin M, Salamo G, Segev M, Crosignani B, Porto P D, Sharp E, Yariv A 1995 Phys. Rev. Lett. 74 1978
[5] She W L, Lee K K, Lee W K 2000 Phys. Rev. Lett. 85 2498
[6] Segev M, Valley G C, Crosignani B, Porto P D, Yariv A 1994 Phys. Rev. Lett. 73 3211
[7] Kos K, Meng H, Salamo G, Shih M, Segev M, Valley G C 1996 Phys. Rev. E 53 R4330
[8] Shih M, Segev M, Salamo G 1996 Opt. Lett. 21 931
[9] Segev M, Valley G C, Bashaw M C, Taya M, Fejer M M 1997 J. Opt. Soc. Am. B 14 1772
[10] Valley G C, Segev M, Crosignani B, Yariv A, Fejer M M, Bashaw M C 1994 Phys. Rev. A 50 R4457
[11] She W L, Lee K K, Lee W K 1999 Phys. Rev. Lett. 83 3182
[12] Liu J S, Lu K Q 1998 Acta Phys. Sin. 47 1509 (in Chinese) [刘劲松、卢克清1998 47 1509]
[13] Lu K Q, Tang T T 1999 Acta Phys. Sin. 48 2070 (in Chinese) [卢克清、唐天同 1999 48 2070]
[14] Hou C F, Yuan B H, Sun X D, Xu K B 2000 Acta Phys. Sin. 49 1969 (in Chinese) [侯春风、袁保红、孙秀冬、许克彬 2000 49 1969]
[15] Liu J S, Zhang D Y, Liang C H 2000 Chin. Phys. 9 667
[16] Wang X S, She W L 2005 Phys. Rev. E 71 026601-1
[17] Stegeman G I, Segev M 1999 Science 286 1518
[18] Desem C, Chu P L 1987 Proc. Inst. Elect. Eng. J. 134 145
[19] Poladian L, Snyder A W, Mitchell D J 1991 Opt. Commun. 85 59
[20] Zakharov V E, Shabat A B 1972 Sov. Phys. JETP 34 62
[21] Snyder A W, Sheppard A P 1993 Opt. Lett. 18 482
[22] Shi T T, Chi S 1990 Opt. Lett. 15 1123
[23] Tran H T, Sammut R A, Samir W 1994 Electron. Lett. 30 1080
[24] Liu J S, Hao Z H 2003 Phys. Lett. A 309 44
[25] Wang X S, She W L 2003 Acta Phys. Sin. 52 595 (in Chinese) [王晓生、佘卫龙 2003 52 595]
[26] Meng H, Salamo G, Shih M, Segev M 1997 Opt. Lett. 22 448
[27] Królikowski W, Holmstrom S A 1997 Opt. Lett. 22 369
[28] Królikowski W, Davies B L, Denz C, Tschudi T 1998 Opt. Lett. 23 97
[29] Yan L F, Wang H C, She W L 2006 Acta Phys. Sin. 55 5257 (in Chinese) [颜利芬、王红成、佘卫龙 2006 55 5257]
[30] Ouyang S G, Wang X S, She W L 2004 Acta Phys. Sin. 53 767 (in Chinese) [欧阳世根、王晓生、佘卫龙 2004 53 767]
[31] SheW L, Li R J 2001 Acta Phys. Sin. 50 886 (in Chinese) [佘卫龙、李荣基 2001 50 886]
[32] Akhmediev N N 1998 Optical and Quantum Electronics 30 535
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[1] Chiao R Y, Garmire E, Townes C H 1964 Phys. Rev. Lett. 13 479
[2] Segev M, Crosignani B, Yariv A, Fischer B 1992 Phys. Rev. Lett. 68 923
[3] Duree G C, Jr., Shultz J L, Salamo G J, Segev M, Yariv A, Crosignani B, Porto P D, Sharp E J, Neurgaonkar R R 1993 Phys. Rev. Lett. 71 533
[4] Duree G, Morin M, Salamo G, Segev M, Crosignani B, Porto P D, Sharp E, Yariv A 1995 Phys. Rev. Lett. 74 1978
[5] She W L, Lee K K, Lee W K 2000 Phys. Rev. Lett. 85 2498
[6] Segev M, Valley G C, Crosignani B, Porto P D, Yariv A 1994 Phys. Rev. Lett. 73 3211
[7] Kos K, Meng H, Salamo G, Shih M, Segev M, Valley G C 1996 Phys. Rev. E 53 R4330
[8] Shih M, Segev M, Salamo G 1996 Opt. Lett. 21 931
[9] Segev M, Valley G C, Bashaw M C, Taya M, Fejer M M 1997 J. Opt. Soc. Am. B 14 1772
[10] Valley G C, Segev M, Crosignani B, Yariv A, Fejer M M, Bashaw M C 1994 Phys. Rev. A 50 R4457
[11] She W L, Lee K K, Lee W K 1999 Phys. Rev. Lett. 83 3182
[12] Liu J S, Lu K Q 1998 Acta Phys. Sin. 47 1509 (in Chinese) [刘劲松、卢克清1998 47 1509]
[13] Lu K Q, Tang T T 1999 Acta Phys. Sin. 48 2070 (in Chinese) [卢克清、唐天同 1999 48 2070]
[14] Hou C F, Yuan B H, Sun X D, Xu K B 2000 Acta Phys. Sin. 49 1969 (in Chinese) [侯春风、袁保红、孙秀冬、许克彬 2000 49 1969]
[15] Liu J S, Zhang D Y, Liang C H 2000 Chin. Phys. 9 667
[16] Wang X S, She W L 2005 Phys. Rev. E 71 026601-1
[17] Stegeman G I, Segev M 1999 Science 286 1518
[18] Desem C, Chu P L 1987 Proc. Inst. Elect. Eng. J. 134 145
[19] Poladian L, Snyder A W, Mitchell D J 1991 Opt. Commun. 85 59
[20] Zakharov V E, Shabat A B 1972 Sov. Phys. JETP 34 62
[21] Snyder A W, Sheppard A P 1993 Opt. Lett. 18 482
[22] Shi T T, Chi S 1990 Opt. Lett. 15 1123
[23] Tran H T, Sammut R A, Samir W 1994 Electron. Lett. 30 1080
[24] Liu J S, Hao Z H 2003 Phys. Lett. A 309 44
[25] Wang X S, She W L 2003 Acta Phys. Sin. 52 595 (in Chinese) [王晓生、佘卫龙 2003 52 595]
[26] Meng H, Salamo G, Shih M, Segev M 1997 Opt. Lett. 22 448
[27] Królikowski W, Holmstrom S A 1997 Opt. Lett. 22 369
[28] Królikowski W, Davies B L, Denz C, Tschudi T 1998 Opt. Lett. 23 97
[29] Yan L F, Wang H C, She W L 2006 Acta Phys. Sin. 55 5257 (in Chinese) [颜利芬、王红成、佘卫龙 2006 55 5257]
[30] Ouyang S G, Wang X S, She W L 2004 Acta Phys. Sin. 53 767 (in Chinese) [欧阳世根、王晓生、佘卫龙 2004 53 767]
[31] SheW L, Li R J 2001 Acta Phys. Sin. 50 886 (in Chinese) [佘卫龙、李荣基 2001 50 886]
[32] Akhmediev N N 1998 Optical and Quantum Electronics 30 535
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