Refraction of nonlinear beams by localized refractive index changes in nematic liquid crystals

被引：36

作者：

Assanto, Gaetano ^{[1
]}

Minzoni, Antonmaria A. ^{[2
]}

Smyth, Noel F. ^{[3
,4
]}

Worthy, Annette L. ^{[5
]}

机构：

[1] Univ Rome Roma Tre, Dept Elect Engn, NooEL, I-00146 Rome, Italy

[2] Univ Nacl Autonoma Mexico, Dept Math & Mech, FENOMEC, Inst Invest Matemat Aplicadas & Sistemas, Mexico City 01000, DF, Mexico

[3] Univ Edinburgh, Sch Math, Edinburgh EH9 3JZ, Midlothian, Scotland

[4] Univ Edinburgh, Maxwell Inst Math Sci, Edinburgh EH9 3JZ, Midlothian, Scotland

[5] Univ Wollongong, Sch Math & Appl Stat, Wollongong, NSW 2522, Australia

来源：

PHYSICAL REVIEW A | 2010年 / 82卷 / 05期

关键词：

INTERNAL OSCILLATIONS; SPATIAL SOLITONS;

D O I：

10.1103/PhysRevA.82.053843

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The propagation of solitary waves in nematic liquid crystals in the presence of localized nonuniformities is studied. These nonuniformities can be caused by external electric fields, other light beams, or any other mechanism which results in a modified director orientation in a localized region of the liquid-crystal cell. The net effect is that the solitary wave undergoes refraction and trajectory bending. A general modulation theory for this refraction is developed, and particular cases of circular, elliptical, and rectangular perturbations are considered. The results are found to be in excellent agreement with numerical solutions.

引用

页数：8

共 36 条

[1]

Abramowitz M., 1972, Handbook on Mathematical Functions with Formulas, Graphs, and Mathematical Tables

[2] Nematicon all-optical control in liquid crystal light valves [J].

Alberucci, A. ;

Piccardi, A. ;

Bortolozzo, U. ;

Residori, S. ;

Assanto, G. .

OPTICS LETTERS, 2010, 35 (03) :390-392

[3]

Assanto G, 2003, OPT PHOTONICS NEWS, V14, P44, DOI 10.1364/OPN.14.2.000044

[4] Optical path control of solitary waves in dye-doped nematic liquid crystals [J].

Assanto, Gaetano ;

Skuse, Benjamin D. ;

Smyth, Noel F. .

PHOTONICS LETTERS OF POLAND, 2009, 1 (04) :154-156

[5] Solitary wave propagation and steering through light-induced refractive potentials [J].

Assanto, Gaetano ;

Skuse, Benjamin D. ;

Smyth, Noel F. .

PHYSICAL REVIEW A, 2010, 81 (06)

[6] Optical solitary waves escaping a wide trapping potential in nematic liquid crystals: Modulation theory [J].

Assanto, Gaetano ;

Minzoni, Antonmaria A. ;

Peccianti, Marco ;

Smyth, Noel F. .

PHYSICAL REVIEW A, 2009, 79 (03)

[7] 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

[8] Route to nonlocality and observation of accessible solitons [J].

Conti, C ;

Peccianti, M ;

Assanto, G .

PHYSICAL REVIEW LETTERS, 2003, 91 (07)

[9] NUMERICAL AND THEORETICAL-STUDY OF CERTAIN NON-LINEAR WAVE PHENOMENA [J].

FORNBERG, B ;

WHITHAM, GB .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1978, 289 (1361) :373-404

[10] Dipole soliton formation in a nematic liquid crystal in the nonlocal limit [J].

Garcia Reimbert, Catherine ;

Minzoni, Antonmaria A. ;

Marchant, T. R. ;

Smyth, Noel F. ;

Worthy, Annette L. .

PHYSICA D-NONLINEAR PHENOMENA, 2008, 237 (08) :1088-1102

← 1 2 3 4 →