Defect-mediated discrete solitons in optically induced photorefractive lattices

Li, Yongyao; Pang, Wei; Chen, Yongzhu; Yu, Zhiqiang; Zhou, Jianying; Zhang, Huarong

doi:10.1103/physreva.80.043824

Cited by 46 publications

(17 citation statements)

References 43 publications

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“…Defect solitons can be formed when a local defect is introduced into the optical lattices, which have been widely studied in the regimes of photonic crystals, waveguide arrays, and optically induced photonic lattices [21][22][23]. Due to its unique properties based on the defect guiding phenomena which can be controlled through variation of the defect parameters [24], defect solitons have the potential applications for the all-optical switches and routing of optical signals [25].…”

Section: Introductionmentioning

confidence: 99%

Defect solitons in parity-time-symmetric optical lattices with nonlocal nonlinearity

et al. 2012

Phys. Rev. A

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The existence and stability of defect solitons in parity-time (PT) symmetric optical lattices with nonlocal nonlinearity are reported. It is found that nonlocality can expand the stability region of defect solitons. For positive or zero defects, fundamental and dipole solitons can exist stably in the semi-infinite gap and the first gap, respectively. For negative defects, fundamental solitons can be stable in both the semi-infinite gap and the first gap, whereas dipole solitons are unstable in the first gap. There exist a maximum degree of nonlocal nonlinearity, above which the fundamental solitons in the semi-infinite gap and the dipole solitons in the first gap do not exist for negative defects. The influence of the imaginary part of the PT-symmetric potentials on soliton stability is given. When the modulation depth of the PT-symmetric lattices is small, defect solitons can be stable for positive and zero defects, even if the PT-symmetric potential is above the phase transition point.

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Section: Introductionmentioning

confidence: 99%

Defect solitons in parity-time-symmetric optical lattices with nonlocal nonlinearity

et al. 2012

Phys. Rev. A

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“…Defects and defect states exist in a variety of linear and nonlinear systems, including solid state physics, photonic crystals, and Bose-Einstein condensates [13,14]. In particular, various defect solitons that appear as defect nonlinear modes in the nonlinear systems have been found, such as vector gap solitons [15], surface-defect gap solitons [16], etc.…”

Section: Introductionmentioning

confidence: 98%

Surface defect gap solitons in superlattices with self-defocusing nonlinearity

Chen

2014

Optik

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“…The nonlinear propagation of an optical wave in a periodic system can lead to the formation of a variety of localized states [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. Discrete vortices on twodimensional (2D) nonlinear lattices, which are localized states of an optical wave with an embedded nonzero phase circulation over a closed lattice contour, have attracted considerable attention over the past decade [19][20][21][22][23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Discrete vortices on anisotropic lattices

2015

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We consider the effects of anisotropy on two types of localized states with topological charges equal to 1 in two-dimensional nonlinear lattices, using the discrete nonlinear Schrödinger equation as a paradigm model. We find that on-site-centered vortices with different propagation constants are not globally stable, and that upper and lower boundaries of the propagation constant exist. The region between these two boundaries is the domain outside of which the on-site-centered vortices are unstable. This region decreases in size as the anisotropy parameter is gradually increased. We also consider off-site-centered vortices on anisotropic lattices, which are unstable on this lattice type and either transform into stable quadrupoles or collapse. We find that the transformation of off-sitecentered vortices into quadrupoles, which occurs on anisotropic lattices, cannot occur on isotropic lattices. In the quadrupole case, a propagation-constant region also exists, outside of which the localized states cannot stably exist. The influence of anisotropy on this region is almost identical to its effects on the on-site-centered vortex case.

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Defect-mediated discrete solitons in optically induced photorefractive lattices

Cited by 46 publications

References 43 publications

Defect solitons in parity-time-symmetric optical lattices with nonlocal nonlinearity

Defect solitons in parity-time-symmetric optical lattices with nonlocal nonlinearity

Surface defect gap solitons in superlattices with self-defocusing nonlinearity

Discrete vortices on anisotropic lattices

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