Three-dimensional walking spatiotemporal solitons in quadratic media

被引:76
作者
Mihalache, D
Mazilu, D
Crasovan, LC
Torner, L
Malomed, BA
Lederer, F
机构
[1] Univ Jena, Inst Solid State Theory & Theoret Opt, D-07743 Jena, Germany
[2] Inst Atom Phys, Natl Inst Phys & Nucl Engn, Dept Theoret Phys, R-76900 Bucharest, Romania
[3] Univ Politecn Cataluna, Dept Signal Theory & Commun, Lab Photon, ES-08034 Barcelona, Spain
[4] Tel Aviv Univ, Fac Engn, Dept Interdisciplinary Sci, IL-69978 Tel Aviv, Israel
关键词
D O I
10.1103/PhysRevE.62.7340
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Two-parameter families of chirped stationary three-dimensional spatiotemporal solitons in dispersive quadratically nonlinear optical media featuring type-I second-harmonic generation are constructed in the presence of temporal walk-off. Basic features of these walking spatiotemporal solitons, including their dynamical stability, are investigated in the general case of unequal group-velocity dispersions at the fundamental and second-harmonic frequencies. In the cases when the solitons are unstable, the growth rate of a dominant perturbation eigenmode is found as a function of the soliton wave number shift. The findings are in full agreement with the stability predictions made on the basis of a marginal linear-stability curve. It is found that the walking three-dimensional spatiotemporal solitons are dynamically stable in most cases; hence in principle they may be experimentally generated in quadratically nonlinear media.
引用
收藏
页码:7340 / 7347
页数:8
相关论文
共 75 条
[1]  
Akhmediev N., 1997, SOLITONS NONLINEAR P
[2]  
AKHMEDIEV NN, 1985, ZH EKSP TEOR FIZ, V61, P62
[3]   STABILITY OF 3-DIMENSIONAL SELF-TRAPPED BEAMS WITH A DARK SPOT SURROUNDED BY BRIGHT RINGS OF VARYING INTENSITY [J].
ATAI, J ;
CHEN, YJ ;
SOTOCRESPO, JM .
PHYSICAL REVIEW A, 1994, 49 (05) :R3170-R3173
[4]   Self-focusing and solitonlike structures in materials with competing quadratic and cubic nonlinearities [J].
Berge, L ;
Bang, O ;
Rasmussen, JJ ;
Mezentsev, VK .
PHYSICAL REVIEW E, 1997, 55 (03) :3555-3570
[5]   FORMATION OF STABLE SOLITONS IN QUADRATIC NONLINEAR MEDIA [J].
BERGE, L ;
MEZENTSEV, VK ;
RASMUSSEN, JJ ;
WYLLER, J .
PHYSICAL REVIEW A, 1995, 52 (01) :R28-R31
[6]   Spatiotemporally localized multidimensional solitons in self-induced transparency media [J].
Blaauboer, M ;
Malomed, BA ;
Kurizki, G .
PHYSICAL REVIEW LETTERS, 2000, 84 (09) :1906-1909
[7]   Spatiotemporally localized solitons in resonantly absorbing Bragg reflectors [J].
Blaauboer, M ;
Kurizki, G ;
Malomed, BA .
PHYSICAL REVIEW E, 2000, 62 (01) :R57-R59
[8]   (2+1)-D propagation of spatio-temporal solitary waves including higher-order corrections [J].
Blair, S ;
Wagner, K .
OPTICAL AND QUANTUM ELECTRONICS, 1998, 30 (7-10) :697-737
[9]   SOLITONS DUE TO 2ND-HARMONIC GENERATION [J].
BURYAK, AV ;
KIVSHAR, YS .
PHYSICS LETTERS A, 1995, 197 (5-6) :407-412
[10]   Stability of three-wave parametric solitons in diffractive quadratic media [J].
Buryak, AV ;
Kivshar, YS ;
Trillo, S .
PHYSICAL REVIEW LETTERS, 1996, 77 (26) :5210-5213