Instability suppression of clusters of vector-necklace-ring solitons in nonlocal media

Abstract

We study the instability suppression of vector-necklace-ring soliton clusters carrying zero, integer, and fractional angular momentums in nonlocal nonlinear media with an arbitrary degree of nonlocality. We show that the combination of nonlocality and mutual trapping of soliton constituent components can completely stabilize the vector-necklace-ring soliton clusters which are otherwise only quasistable in local media. Our results may be useful to studies of the novel soliton states in Bose-Einstein with dipolar long-range interactions

Two-component vector solitons in defocusing Kerr-type media with spatially modulated nonlinearity

“…Two-dimensional coupled NLS equations with spatial nonlinearities for the complex envelopes ψ j (z, r, ϕ) can be written in the following dimensionless form [11,16,20]:…”

“…At present, it is reported that the single component of self-trapped azimuthally modulated beams exhibits a single-layer necklace-ring pattern in a self-focusing Kerr medium, while the total intensity distribution of the vector soliton displays symmetric single-layer vortex ring structures [19,20]. The vector soliton expands with propagation, because the adjacent ''petals'' in the necklace differ in phase by π and consequently the neighboring beam filaments repel each other [21].…”

Stability of vortex solitons under competing local and nonlocal cubic nonlinearities

“…Another very general important class of nonlocal materials is materials with a quadratic nonlinearity [14], which has been shown that the nonlocal nature of the quadratic nonlinearity can describe soliton pulse compression [15], the exotic X-waves [16], and analytically give the limits of the achievable pulse length [17]. In nonlocal media, stable vortex solitons have been studied extensively during the past years [18][19][20][21][22][23][24][25][26][27][28][29][30]. However, the stability of the vortex solitons carrying high-order topological charges > m ( 1) depends on the form of the nonlocal response functions [18,19], e.g., in thermal nonlinearity supported by cylindrical symmetry, only vortex solitonswith topological charge ≤ m 2 are found to be stable [22].…”

Hermite-Gaussian Vector soliton in strong nonlocal media

“…A class of spiraling elliptic solitons in nonlocal nonlinear media without both linear and nonlinear anisotropy was analyzed by G. Liang [5]. The instability suppression of vectornecklace-ring soliton clusters in different degree of nonlocal media was investigated by M. Shen [6]. Z. Y. Bai demonstrated the dynamics of elegant Ince-Gaussian beams in quadratic-index medium [7] and strongly nonlocal nonlinear media [8].…”