Ring vortex solitons in nonlocal nonlinear media

This study considers vortex ring solitons in nonlinear media with a spatially nonlocal self-focusing nonlinearity. Spatial nonlocality implies that the response of the medium at a particular point is not determined not only by the wave intensity at that point but also depends on the wave intensity in the vicinity.

[1]  O. Bang,et al.  Modulational instability in nonlocal nonlinear Kerr media. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  R. A. Vlasov,et al.  Spiral self-trapping propagation of optical beams in media with cubic nonlinearity , 1985 .

[3]  Dmitry V. Skryabin,et al.  Dynamics of self-trapped beams with phase dislocation in saturable Kerr and quadratic nonlinear media , 1998 .

[4]  Blasberg,et al.  Stabilization of transverse solitary waves by a nonlocal response of the nonlinear medium. , 1993, Physical review. A, Atomic, molecular, and optical physics.

[5]  M. Markus,et al.  Oscillations and turbulence induced by an activating agent in an active medium. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Ole Bang,et al.  Generic features of modulational instability in nonlocal Kerr media. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  Sergei K. Turitsyn,et al.  Spatial dispersion of nonlinearity and stability of multidimensional solitons , 1985 .

[8]  O. Bang,et al.  Quadratic solitons as nonlocal solitons. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  C. Salomon,et al.  Formation of a Matter-Wave Bright Soliton , 2002, Science.

[10]  O. Bang,et al.  Optical Beams in Nonlocal Nonlinear Media , 2003 .

[11]  Sadhan K. Adhikari,et al.  Mean-field model of interaction between bright vortex solitons in Bose–Einstein condensates , 2002, cond-mat/0207171.

[12]  Stegeman,et al.  Optical Spatial Solitons and Their Interactions: Universality and Diversity. , 1999, Science.

[13]  Phillips,et al.  Generating solitons by phase engineering of a bose-einstein condensate , 2000, Science.

[14]  Ole Bang,et al.  Collapse arrest and soliton stabilization in nonlocal nonlinear media. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  H. Pécseli,et al.  Nonlinear Electron Waves in Strongly Magnetized Plasmas , 1980 .

[16]  M. Markus,et al.  On-off intermittency and intermingledlike basins in a granular medium. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  Alvaro de Souza Dutra Reply to ''Comment on 'Conditionally exactly soluble class of potentials' '' , 2000 .

[18]  N. N. Rozanov,et al.  Internal modes of solitons in a Bose-Einstein condensate , 2004 .

[19]  Sandro De Silvestri,et al.  High-accuracy fast Hankel transform for optical beam propagation , 1992 .

[20]  Marco Peccianti,et al.  Spatial solitons in nematic liquid crystals , 2003 .

[21]  K. Rzazewski,et al.  Bose-Einstein condensation with magnetic dipole-dipole forces , 2000 .

[22]  D. R. Heatley,et al.  Stability of the higher-bound states in a saturable self-focusing medium. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[23]  J P Torres,et al.  Observation of azimuthal modulational instability and formation of patterns of optical solitons in a quadratic nonlinear crystal. , 1998, Optics letters.

[24]  Luca Salasnich,et al.  Structure and stability of bosonic clouds: Alkali-metal atoms with negative scattering length , 1998 .

[25]  Quantum noise in a laser with nonorthogonal polarization modes , 2000 .

[26]  J P Torres,et al.  Stable spinning optical solitons in three dimensions. , 2002, Physical review letters.

[27]  Wilson C. K. Poon,et al.  Phase behavior and crystallization kinetics of PHSA-coated PMMA colloids , 2003 .

[28]  Segev,et al.  Composite multihump vector solitons carrying topological charge , 2000, Physical review letters.

[29]  D. P. Krindach,et al.  Thermal self-actions of laser beams , 1968 .

[30]  K. F. Chen,et al.  Observation of B+-ppK+ , 2002 .

[31]  Zongfu Yu,et al.  Measurement of time-dependent CP asymmetries in Bjavax.xml.bind.JAXBElement@6d610b0 → D(*)±π± decays and constraints on sin(2β + γ) , 2004 .

[32]  Humberto Michinel,et al.  Stable azimuthal stationary state in quintic nonlinear optical media , 1997 .

[33]  O. Bang,et al.  INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF OPTICS B: QUANTUM AND SEMICLASSICAL OPTICS , 2004 .

[34]  A. Snyder,et al.  Light Guiding Light: Letting Light Be the Master of Its Own Destiny , 1999 .

[35]  Stefano Longhi Spiral waves in optical parametric oscillators , 2001 .

[36]  A paraxial model for optical self-focussing in a nematic liquid crystal , 1995 .

[37]  Diana Anderson,et al.  Variational approach to nonlinear pulse propagation in optical fibers , 1983 .

[38]  B. Duenweg,et al.  散逸粒子動力学:平衡および非平衡分子動力学シミュレーションのための有用なサーモスタット(原標題は英語) , 2003 .