相干光伏空间孤子非对称碰撞研究

李湘衡; 张冰志; 佘卫龙

doi:10.7498/aps.60.074216

摘要

采用数值方法研究了三个呈非对称分布的相干光伏空间孤子碰撞相互作用.结果表明,随着信号光的入射角度在一定范围内逐渐改变,三个孤子在晶体中碰撞后会产生孤子的分裂或湮没现象.当孤子碰撞后出现分裂或湮没时,若保持孤子的碰撞角度不变,改变其中任意一个孤子的初始相对相位,孤子的碰撞行为也将随之迅速改变,产生新的孤子分裂、湮没或其他碰撞现象.另外,研究结果还表明,作为具有不可积哈密顿系统特性的光伏孤子,其小角度碰撞过程中动量和能量仍然是守恒的.

关键词:

光伏孤子 /
非对称碰撞 /
分裂 /
湮没

Abstract

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.

Keywords:

作者及机构信息

1.
中山大学光电材料与技术国家重点实验室,广州 510275

基金项目: 国家自然科学基金(批准号:10874251)资助的课题.

Authors and contacts

1.
State Key Laboratory of Optoelectronic Materials and Technologies, Sun Yat-sen University, Guangzhou 510275, China

参考文献

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[7]	Kos K, Meng H, Salamo G, Shih M, Segev M, Valley G C 1996 Phys. Rev. E 53 R4330
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[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
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[18]	Desem C, Chu P L 1987 Proc. Inst. Elect. Eng. J. 134 145
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[20]	Zakharov V E, Shabat A B 1972 Sov. Phys. JETP 34 62
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[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
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[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
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施引文献

[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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