Soliton topology versus discrete symmetry in optical lattices

被引：70

作者：

Kartashov, YV ^{[1
]}

Ferrando, A

Egorov, AA

Torner, L

机构：

[1] Univ Politecn Cataluna, ICFO, Barcelona, Spain

[2] Univ Valencia, Dept Opt, Interdisciplinary Modeling Grp, E-46100 Burjassot, Valencia, Spain

[3] Moscow MV Lomonosov State Univ, Dept Phys, Moscow 119899, Russia

来源：

PHYSICAL REVIEW LETTERS | 2005年 / 95卷 / 12期

关键词：

D O I：

10.1103/PhysRevLett.95.123902

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We address the existence of vortex solitons supported by azimuthally modulated lattices and reveal how the global lattice discrete symmetry has fundamental implications on the possible topological charges of solitons. We set a general "charge rule" using group-theory techniques, which holds for all lattices belonging to a given symmetry group. Focusing on the case of Bessel lattices allows us to derive also an overall stability rule for the allowed vortex solitons.

引用

收藏

页数：4

相关论文

共 21 条

[1] Generation of high-order Bessel beams by use of an axicon [J].

Arlt, J ;

Dholakia, K .

OPTICS COMMUNICATIONS, 2000, 177 (1-6) :297-301

[2] Multidimensional solitons in periodic potentials [J].

Baizakov, BB ;

Malomed, BA ;

Salerno, M .

EUROPHYSICS LETTERS, 2003, 63 (05) :642-648

[3] Anisotropic enhancement of discrete diffraction and formation of two-dimensional discrete-soliton trains [J].

Chen, ZG ;

Martin, H ;

Eugenieva, ED ;

Xu, JJ ;

Bezryadina, A .

PHYSICAL REVIEW LETTERS, 2004, 92 (14) :143902-1

[4] Optical vortices and vortex solitons [J].

Desyatnikov, AS ;

Kivshar, YS ;

Torner, L .

PROGRESS IN OPTICS, VOL 47, 2005, 47 :291-391

[5] Vorticity cutoff in nonlinear photonic crystals -: art. no. 043901 [J].

Ferrando, A ;

Zacarés, M ;

García-March, MA .

PHYSICAL REVIEW LETTERS, 2005, 95 (04)

[6] Nodal solitons and the nonlinear breaking of discrete symmetry [J].

Ferrando, A ;

Zacarés, M ;

Andreés, P ;

de Córdoba, PF ;

Monsoriu, JA .

OPTICS EXPRESS, 2005, 13 (04) :1072-1078

[7] Vortex solitons in photonic crystal fibers [J].

Ferrando, A ;

Zacarés, M ;

de Córdoba, PF ;

Binosi, D ;

Monsoriu, JA .

OPTICS EXPRESS, 2004, 12 (05) :817-822

[8] Observation of vortex-ring "discrete" solitons in 2D photonic lattices [J].

Fleischer, JW ;

Bartal, G ;

Cohen, O ;

Manela, O ;

Segev, M ;

Hudock, J ;

Christodoulides, DN .

PHYSICAL REVIEW LETTERS, 2004, 92 (12) :123904-1

[9] Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices [J].

Fleischer, JW ;

Segev, M ;

Efremidis, NK ;

Christodoulides, DN .

NATURE, 2003, 422 (6928) :147-150

[10] Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam [J].

Garcés-Chávez, V ;

McGloin, D ;

Melville, H ;

Sibbett, W ;

Dholakia, K .

NATURE, 2002, 419 (6903) :145-147