Tracking azimuthons in nonlocal nonlinear media

Abstract

We study the formation of azimuthons, i.e., rotating spatial solitons, in media with nonlocal focusing nonlinearity. We show that whole families of these solutions can be found by considering internal modes of classical non-rotating stationary solutions, namely vortex solitons. This offers an exhaustive method to identify azimuthons in a given nonlocal medium. We demonstrate formation of azimuthons of different vorticities and explain their properties by considering the strongly nonlocal limit of accessible solitons.

Quasiperiodic oscillations and homoclinic orbits in the nonlinear nonlocal Schrödinger equation

“…Thus, even though for = 0.5 we are no longer in the region where linear perturbation analysis of the quadrupole soliton Q holds, we still find qualitatively similar dynamics. We note that in the same system equation (1), quasiperiodic nonlinear solutions (so-called azimuthons) linked to stable internal modes of solitons were reported earlier [32,35].…”

Dipole azimuthons and vortex charge flipping in nematic liquid crystals

“…A link between fundamental optical spatial solitons [1] and doughnut-shaped vortices [2][3][4][5] is provided by the existence of dynamic bound states in the form of rotating soliton clusters [6] and azimuthally modulated vortex solitons, or azimuthons [7]. Since a nonlocal response was predicted to suppress azimuthal instability of vortex beams [8,9], there is a growing interest towards azimuthons in various nonlocal models [10][11][12][13][14][15][16] and geometries [17][18][19][20][21]. Although the theoretical results are plentiful [10][11][12][13][14][15][16][17][18][19][20][21][22][23], the experimental realizations are scarce, being limited so far to lead glass [24,25] with a boundary-dependent thermo-optic nonlinearity, and rubidium vapor [26] with a nonlocality too weak to avoid vortex breakup.…”

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

“…The propagation of solitons in nonlocal medium is an interesting and important subject in that the nonlocality has profound impact on its physical dynamics and leads to novel phenomena of a generic nature [2]. Nonlocal nonlinearity has been shown to support a series of novel solitons, such as stable multipole solitons [12,13], discrete solitons [14,15], and azimuthons [16][17][18][19]. It also affects the interactions of out-ofphase bright [20,21] and dark solitons [22][23][24], provides attractive forces between the soliton components which always repel in local media.…”