Bragg solitons in nonlocal nonlinear media

被引:18
作者
Lin, YuanYao [1 ]
Lee, Ray-Kuang [1 ]
Malomed, Boris A. [2 ]
机构
[1] Natl Tsing Hua Univ, Inst Photon Technol, Hsinchu 300, Taiwan
[2] Tel Aviv Univ, Fac Engn, Sch Elect Engn, Dept Phys Elect, IL-69978 Tel Aviv, Israel
来源
PHYSICAL REVIEW A | 2009年 / 80卷 / 01期
关键词
GAP SOLITONS; OSCILLATORY INSTABILITIES; STABILITY; CRYSTALS;
D O I
10.1103/PhysRevA.80.013838
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We derive nonlocal coupled-mode equations for a Bragg grating embedded in a medium with nonlocal nonlinearity. Using these equations, we study the oscillatory instability of nonlocal Bragg solitary waves and demonstrate that collisions between them result in fusion into a standing pulse (or breather), possibly with generation of additional jets, in a broad range of parameters. The results are explained by considering the effect of spatial dispersion induced by the nonlocal nonlinear response.
引用
收藏
页数:7
相关论文
共 53 条
[1]   SELF-INDUCED TRANSPARENCY SOLITONS IN NONLINEAR REFRACTIVE PERIODIC MEDIA [J].
ACEVES, AB ;
WABNITZ, S .
PHYSICS LETTERS A, 1989, 141 (1-2) :37-42
[2]   Numerical exterior algebra and the compound matrix method [J].
Allen, L ;
Bridges, TJ .
NUMERISCHE MATHEMATIK, 2002, 92 (02) :197-232
[3]  
ATAI J, 2004, QUANTUM SEMICLASSICA, V6, pS177
[4]   Vibrations and oscillatory instabilities of gap solitons [J].
Barashenkov, IV ;
Pelinovsky, DE ;
Zemlyanaya, EV .
PHYSICAL REVIEW LETTERS, 1998, 80 (23) :5117-5120
[5]   Oscillatory instabilities of gap solitons: a numerical study [J].
Barashenkov, IV ;
Zemlyanaya, EV .
COMPUTER PHYSICS COMMUNICATIONS, 2000, 126 (1-2) :22-27
[6]   Theory of grating superstructures [J].
Broderick, NGR ;
deSterke, CM .
PHYSICAL REVIEW E, 1997, 55 (03) :3634-3646
[7]   Light-induced charge transport processes in photorefractive crystals .1. Models and experimental methods [J].
Buse, K .
APPLIED PHYSICS B-LASERS AND OPTICS, 1997, 64 (03) :273-291
[8]   SLOW BRAGG SOLITONS IN NONLINEAR PERIODIC STRUCTURES [J].
CHRISTODOULIDES, DN ;
JOSEPH, RI .
PHYSICAL REVIEW LETTERS, 1989, 62 (15) :1746-1749
[9]   Observation of optical spatial solitons in a highly nonlocal medium [J].
Conti, C ;
Peccianti, M ;
Assanto, G .
PHYSICAL REVIEW LETTERS, 2004, 92 (11) :113902-1
[10]   Interaction of matter-wave gap solitons in optical lattices [J].
Dabrowska-Wuster, BJ ;
Ostrovskaya, EA ;
Kivshar, YS .
JOURNAL OF OPTICS B-QUANTUM AND SEMICLASSICAL OPTICS, 2004, 6 (10) :423-427