| Original Articles |
|
|
|
|
Solitary Wave Evolution of Optical Planar Vortices in Self-Defocusing Photorefractive Media |
| GAN Xue-Tao, ZHANG Peng, LIU Sheng, XIAO Fa-Jun, ZHAO Jian-Lin |
| Institute of Optical Information Science and Technology, Shaanxi Key Laboratory of Optical Information Technology, School of Science, Northwestern Polytechnical University, Xi'an 710072 |
|
| Cite this article: |
|
GAN Xue-Tao, ZHANG Peng, LIU Sheng et al 2008 Chin. Phys. Lett. 25 3280-3283 |
|
|
|
|
Abstract
Solitary wave evolution of optical planar vortices in isotropic self-defocusing photorefractive media is investigated in detail. We demonstrate that the formation of a planar vortex soliton intensively depends on the diameter and maximum intensity of the input vortex beam. The exact solutions of planar vortex solitons are obtained due to the Petviashvili iteration method. It is found that, with the increasing soliton maximum intensity, the soliton core will be gradually diminished to a minimum value.
|
| Keywords:
42.65.Tg
42.65.Hw
|
|
|
Received: 24 February 2008
Published: 29 August 2008
|
|
| PACS: |
42.65.Tg
|
(Optical solitons; nonlinear guided waves)
|
| |
42.65.Hw
|
(Phase conjugation; photorefractive and Kerr effects)
|
|
|
|
|
|
[1] Kivshar Y S and Ostrovskaya E A 2001 Opt. Photon.News 12 27
[2] Schmitz C H J, Uhrig K, Spatz J P and Curtis J E 2006 Opt. Express 14 6604
[3] Scheuer J and Orenstein M 1999 Science 285 230
[4] Grier D G 2003 Nature 424 810
[5] Briedis D, Petersen D E, Edmundson D, Krolikowski W andBang O 2005 Opt. Express 13 435
[6] Rotschild C, Cohen O, Manela O, Segev M and Carmon T 2005 Phys. Rev. Lett. 95 213904
[7] Chen Z, Segev M, Wilson D W, Muller R E and Maker P D 1997 Phys. Rev. Lett. 78 2948
[8] Chen Z, Shih M, Segev M, Wilson D W, Muller R E and MakerP D 1997 Opt. Lett. 22 1751
[9] Chen Z, Mitchell M, Segev M, Coskun T H andChristodoulides D N 1998 Science 280 889
[10] Alexander T J, Sukhorukov A A and Kivshar Y S 2004 Phys. Rev. Lett. 93 063901
[11] Ferrando A, Zacar\'{es M, Garc\'{\ia-March M \'{A,Monsoriu J A and C\'{ordoba P F 2005 Phys. Rev. Lett. 95 123901
[12] Mamaev A V, Saffman M and Zozulya A A 1996 Phys.Rev. Lett. 77 4544
[13] Beli\'c M R, Vuji\'c D, Stepken A, Kaiser F, Calvo G F,Agull\'o-L\'opez F and Carrascosa M 2002 Phys. Rev. E 65 066610
[14] Yang J and Pelinovsky D E 2003 Phy. Rev. E 67016608
[15] Meng H, Salamo G and Segev M 1998 Opt. Lett. 23 897
[16] Shih M F, Leach P, Segev M, Garrett M H, Salamo G andValley G C 1996 Opt. Lett. 21 324
[17] Zhang P, Zhao J, Lou C, Tan X, Gao Y, Liu Q, Yang D, Xu Jand Chen Z 2007 Opt. Express 15 536
[18] Wang H C, Wang X S and She W L 2004 Chin. Phys.Lett. 21 2441
[19] Zhang G Y, Liu J S, Liu S X, Wang C and Zhang H L 2007 Chin. Phys. Lett. 24 442
[20] Li J P, Lu K Q, Zhao W, Yang Y L, Zhu X P and Guo X H2005 Chin. Phys. Lett. 22 1423
[21] Christodoulides D N and Carvalho M I 1995 J. Opt.Soc. Am. B 12 1628
[22] Zozulya A A and Anderson D Z 1995 Phys. Rev. A 51 1520
[23] Weideman J A C and Herbst B M 1986 SIAM J. NumericalAnalysis 23 485
[24] Petviashvili V I 1976 Sov. J. Plasma. Phys. 2257
[25] Segev M, Shih M and Valley G C 1996 J. Opt. Soc.Am. B 13 706 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
