Defect solitons in two-dimensional photonic lattices with parity-time symmetry

Xie, Jianing; Su, Zhi-Kun; Chen, Wei-Cheng; Chen, Guojie; Lv, Jiantao; Mihalache, Dumitru; He, Yan

doi:10.1016/j.optcom.2013.10.004

Cited by 16 publications

(6 citation statements)

References 46 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Further developments in this directions include defect solitons in superlattices (Fang et al, 2014;Hu and Hu, 2013a;Hu et al, 2012a;Lu and Zhang, 2011;, as well as in nonlocal (Fang et al, 2014;Hu et al, 2012a,b), saturable (Hu and Hu, 2013c), and PTsymmetric (Wang et al, 2012 nonlinearities. Defect solitons in 2D PT -symmetric lattices were reported by Xie et al (2014).…”

Section: E Solitons In Generalized Lattice Modelsmentioning

confidence: 85%

Nonlinear waves inPT-symmetric systems

2016

View full text Add to dashboard Cite

Recent progress on nonlinear properties of parity-time (PT -) symmetric systems is comprehensively reviewed in this article. PT symmetry started out in non-Hermitian quantum mechanics, where complex potentials obeying PT symmetry could exhibit all-real spectra. This concept later spread out to optics, Bose-Einstein condensates, electronic circuits, and many other physical fields, where a judicious balancing of gain and loss constitutes a PT -symmetric system. The natural inclusion of nonlinearity into these PT systems then gave rise to a wide array of new phenomena which have no counterparts in traditional dissipative systems. Examples include the existence of continuous families of nonlinear modes and integrals of motion, stabilization of nonlinear modes above PTsymmetry phase transition, symmetry breaking of nonlinear modes, distinctive soliton dynamics, and many others. In this article, nonlinear PT -symmetric systems arising from various physical disciplines are presented; nonlinear properties of these systems are thoroughly elucidated; and relevant experimental results are described. In addition, emerging applications of PT symmetry are pointed out.

show abstract

Section: E Solitons In Generalized Lattice Modelsmentioning

confidence: 85%

Nonlinear waves inPT-symmetric systems

2016

View full text Add to dashboard Cite

show abstract

“…[25]. Further, optics provides a fertile ground to investigate PT -symmetric beam dynamics in nonlinear regimes, including the formation of bright and dark solitons, gap solitons, defect states, multi-peak modes, and vortices, see original works [26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48] and recent reviews [49,50]. In particular, a specific arrangement of the self-defocusing nonlinearity, growing from the center to periphery, makes it possible to predict self-trapped modes featuring unbreakable PT symmetry [51].…”

Section: Introductionmentioning

confidence: 99%

Stability band structure for periodic states in periodic potentials

Liu

Malomed

2019

Applied Numerical Mathematics

View full text Add to dashboard Cite

A class of periodic solutions of the nonlinear Schrödinger equation with non-Hermitian potentials are considered. The system may be implemented in planar nonlinear optical waveguides carrying an appropriate distribution of local gain and loss, in a combination with a photonic-crystal structure. The complex potential is built as a solution of the inverse problem, which predicts the potential supporting required periodic solutions. The main subject of the analysis is the spectral structure of the linear (in)stability for the stationary spatially periodic states in the periodic potentials. The stability and instability bands are calculated by means of the plane-wave-expansion method, and verified in direct simulations of the perturbed evolution. The results show that the periodic solutions may be stable against perturbations in specific Floquet-Bloch bands, even if they are unstable against small random perturbations.

show abstract

“…With the PT-symmetry, the existence, stability, and propagation dynamics of various types of solitons, such as fundamental [12], multi-peak [13,14], Bragg [15], gap [16], and temporal solitons [17], have been widely investigated. In addition, the evolution of defect solitons in both one- [18][19][20] and two- [21] dimensional optical lattices have been analyzed. Recently, we investigated the propagation dynamics of vortex solitons in the PT-symmetric optical lattices based on the self-defocusing Kerr nonlinearity [22].…”

Section: Introductionmentioning

confidence: 99%

Evolution of vortex and quadrupole solitons in the complex potentials with saturable nonlinearity

Wang¹,

Ren²,

Huang³

et al. 2018

J. Opt.

View full text Add to dashboard Cite

We investigate the evolution of vortex and quadrupole solitons in the parity-time (PT)-symmetric optical lattices with self-focusing saturable nonlinearity. It is found that the saturable parameter plays a significant role on the existence and stability of vortex solitons. There exists a threshold for saturable parameter, above which the single-charged vortex solitons can be stable. The strength of gain–loss component of the PT-symmetric potential can affect the existence and stability of vortex solitons dramatically. We find that the single-charged vortex solitons can exist even at the phase transition point of the PT-symmetric potential, but diffuse fast during propagation. In addition, it is also found that the direction of the angular momentum has little effect on the properties of vortex solitons. Dramatically, the stable regions of out-of-phase quadrupole solitons are broader than that of the single-charged vortex solitons, while the stable regions of in-phase quadrupole solitons are narrower than that of the single-charged vortex solitons.

show abstract

Defect solitons in two-dimensional photonic lattices with parity-time symmetry

Cited by 16 publications

References 46 publications

Nonlinear waves inPT-symmetric systems

Nonlinear waves inPT-symmetric systems

Stability band structure for periodic states in periodic potentials

Evolution of vortex and quadrupole solitons in the complex potentials with saturable nonlinearity

Contact Info

Product

Resources

About