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The propagation and interaction properties of optical vortex solitons in a self-defocusing Kerr-type nonlocal medium are investigated by the numerical simulation method. It is indicated that the singly charged vortices are stable and the multicharged vortices are topologically unstable in both the nonlocal and local cases. And in the nonlocal and local cases the point vortices model is applicable for describing the interactions of vortices provided that the interval distances between vortices are much larger than the size of the core of the vortices. However, vortices interact differently in short distance, depending on the nonlocality, and the larger the characteristic nonlocal respond length, the larger the rotating period of two singly charged vortices.
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Keywords:
- Schrö /
- dinger equation /
- self-defocusing
[1] Zhao S N, Xiong X Y, Zhu J 1996 Acta Phys. Sin. 45 1817 (in Chinese) [赵松年, 熊小芸, 朱江 1996 45 1817]
[2] Swartzlander G A, Law C T 1992 Phys. Rev. Lett. 69 2503
[3] Mamaev A V, Saffman M, Zozulya A A 1997 Phys. Rev. Lett. 78 2108
[4] Lu Y, Liu S M, Wang D Y 2002 Acta Phys. Sin. 51 1300 (in Chinese) [陆猗, 刘思敏, 汪大云 2002 51 1300]
[5] Dreischuh A, Paulus G G, Zacher F, Grasbon F, Walther H 1999 Phys. Rev. E 60 6111
[6] Dreischuh A, Paulus G G, Zacher F, Grasbon F, Neshev D, Walther H 1999 Phys. Rev. E 60 7815
[7] Law C T, Swartzlander G A 1993 Opt. Lett. 18 586
[8] Sakaguchi H, Higashiuchi T 2006 Phys. Lett. A 359 647
[9] Basistiy I V, Bazhenov V Y, Soskin M S, Vasnetsov M V 1993 Opt. Commun. 103 422
[10] Aranson I, Steinberg V 1996 Phys. Rev. B 53 75
[11] Pelinovsky D E, Stepanyants Y A, Kivshar Y S 1995 Phys. Rev. E 51 5016
[12] Kuznetsov E A, Rasmussen J J 1995 Phys. Rev. E 51 4479
[13] Velchev I, Dreischuh A, Neshev D, Dinev S 1997 Opt. Commun. 140 77
[14] Luther-Davies B, Powles R, Tikhonenko V 1994 Opt. Lett. 19 1816
[15] Neu J C 1990 Physica D 43 385
[16] Lund F 1991 Phys. Lett. A 159 245
[17] Ouyang S G, Guo Q 2009 Opt. Express 17 5170
[18] Ouyang S G, Hu W, Guo Q 2012 Chin. Phys. B 21 040505
[19] Zhou L H, Gao X H, Yang Z J, Lu D Q, Guo Q, Cao W W, Hu W 2011 Acta Phys. Sin. 60 044208 (in Chinese) [周罗红, 高星辉, 杨振军, 陆大全, 郭旗, 曹伟文, 胡巍 2011 60 044208]
[20] Yang Z J, Zhou L H, Zheng Y Z, Lu D Q, Hu W, Gao X H 2011 Acta Phys. Sin. 60 084213 (in Chinese) [杨振军, 周罗红, 郑一周, 陆大全, 胡巍, 高星辉 2011 60 084213]
[21] Snyder A W, Poladian L, Mitchell D J 1992 Opt. Lett. 17 789
[22] Baluschev S, Dreischuh A, Velchev I, Dinev S, Marazov O 1995 Phys. Rev. E 52 5517
[23] Ablowitz M J, Musslimani Z H 2005 Opt. Lett. 30 2140
[24] Petviashvili V I 1976 Fiz. Plazmy 2 469
[25] Petviashvili V I 1976 Sov. J. Plasma Phys. 2 257
[26] Zozulya A A, Anderson D Z, Mamaev A V, Saffman M 1998 Phys. Rev. A 57 522
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[1] Zhao S N, Xiong X Y, Zhu J 1996 Acta Phys. Sin. 45 1817 (in Chinese) [赵松年, 熊小芸, 朱江 1996 45 1817]
[2] Swartzlander G A, Law C T 1992 Phys. Rev. Lett. 69 2503
[3] Mamaev A V, Saffman M, Zozulya A A 1997 Phys. Rev. Lett. 78 2108
[4] Lu Y, Liu S M, Wang D Y 2002 Acta Phys. Sin. 51 1300 (in Chinese) [陆猗, 刘思敏, 汪大云 2002 51 1300]
[5] Dreischuh A, Paulus G G, Zacher F, Grasbon F, Walther H 1999 Phys. Rev. E 60 6111
[6] Dreischuh A, Paulus G G, Zacher F, Grasbon F, Neshev D, Walther H 1999 Phys. Rev. E 60 7815
[7] Law C T, Swartzlander G A 1993 Opt. Lett. 18 586
[8] Sakaguchi H, Higashiuchi T 2006 Phys. Lett. A 359 647
[9] Basistiy I V, Bazhenov V Y, Soskin M S, Vasnetsov M V 1993 Opt. Commun. 103 422
[10] Aranson I, Steinberg V 1996 Phys. Rev. B 53 75
[11] Pelinovsky D E, Stepanyants Y A, Kivshar Y S 1995 Phys. Rev. E 51 5016
[12] Kuznetsov E A, Rasmussen J J 1995 Phys. Rev. E 51 4479
[13] Velchev I, Dreischuh A, Neshev D, Dinev S 1997 Opt. Commun. 140 77
[14] Luther-Davies B, Powles R, Tikhonenko V 1994 Opt. Lett. 19 1816
[15] Neu J C 1990 Physica D 43 385
[16] Lund F 1991 Phys. Lett. A 159 245
[17] Ouyang S G, Guo Q 2009 Opt. Express 17 5170
[18] Ouyang S G, Hu W, Guo Q 2012 Chin. Phys. B 21 040505
[19] Zhou L H, Gao X H, Yang Z J, Lu D Q, Guo Q, Cao W W, Hu W 2011 Acta Phys. Sin. 60 044208 (in Chinese) [周罗红, 高星辉, 杨振军, 陆大全, 郭旗, 曹伟文, 胡巍 2011 60 044208]
[20] Yang Z J, Zhou L H, Zheng Y Z, Lu D Q, Hu W, Gao X H 2011 Acta Phys. Sin. 60 084213 (in Chinese) [杨振军, 周罗红, 郑一周, 陆大全, 胡巍, 高星辉 2011 60 084213]
[21] Snyder A W, Poladian L, Mitchell D J 1992 Opt. Lett. 17 789
[22] Baluschev S, Dreischuh A, Velchev I, Dinev S, Marazov O 1995 Phys. Rev. E 52 5517
[23] Ablowitz M J, Musslimani Z H 2005 Opt. Lett. 30 2140
[24] Petviashvili V I 1976 Fiz. Plazmy 2 469
[25] Petviashvili V I 1976 Sov. J. Plasma Phys. 2 257
[26] Zozulya A A, Anderson D Z, Mamaev A V, Saffman M 1998 Phys. Rev. A 57 522
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