Self-trapping of two-dimensional vector dipole solitons in nonlocal media

Abstract

We study the self-trapping of the superposition of two-dimensional vector dipole solitons in nonlocal media with an arbitrary degree of nonlocality. We apply the variational approach to find the exact solution of such vector dipole solitons and investigate their stability by using directly numerical simulations. The dynamics of such vector solitons are also compared with a scalar vortex. We show the nonlocality induces an attractive force which can completely stabilize the vector dipole solitons.

Stability of vortex solitons under competing local and nonlocal cubic nonlinearities

“…2(c)], it can even be stable more than z ¼80. This result is similar to the previous conclusions that larger s can effectively stabilize the vortex solitons [18,29]. In the limit of strong nonlocality with s ¼6 [Fig.…”

“…In contrast to the model of double self-focusing local-nonlocal competing nonlinearities that can support stable multipole solitons with high degree of nonlocality [43], these kinds of competing nonlinearities cannot stabilize the vortex solitons carrying angular momentum in the regime of high nonlocality, which is different from the previous results that the nonlocality can stabilize completely the vortex soliton carrying arbitrary topological charges in media with only one type of nonlocal cubic nonlinearity in the limit of strong nonlocality [18,[28][29][30] or with competing cubic and quintic nonlinearities [32,58].…”

“…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].…”

Vortex pairs in nonlocal nonlinear media

“…σ = 0.1, 1.5 and 10, respectively. It is known that a weak nonlocality cannot suppress the azimuthal instability of vortex solitons [35,52]. In this case, as shown in figure 2, vortex-vortex pairs experience a symmetry-breaking instability, split into several filaments, and fly away to each other.…”

“…The nonlocality can suppress the modulation instability [30,31] and transverse instability [32], and prevent the catastrophic collapse of high-dimensional optical beams [33]. Nonlocal nonlinearity also sustains vector coupled solitons, including vector dipole soliton pairs [34,35], multi-pole vector solitons [36,37], two-color vector solitons [38][39][40], bright and dark solitons [41], vector vortex [42] and necklace solitons [43].…”