Stabilization of dipole solitons in nonlocal nonlinear media

Abstract

We address the stabilization of dipole solitons in nonlocal nonlinear materials by two different approaches. First, we study the properties of such solitons in thermal nonlinear media, where the refractive index landscapes induced by laser beams strongly depend on the boundary conditions and on the sample geometry. We show how the sample geometry impacts the stability of higherorder solitons in thermal nonlinear media and reveal that dipole solitons can be made dynamically stable in rectangular geometries in contrast to their counterparts in thermal samples with square cross-section. Second, we discuss the impact of the saturation of the nonlocal nonlinear response on the properties of multipole solitons. We find that the saturable response also stabilizes dipole solitons even in symmetric geometries, provided that the input power exceeds a critical value.

Stabilization of counter-rotating vortex pairs in nonlocal media

“…For instance, nonlocality can prevent the catastrophic collapse of high-dimensional beams [8] and suppress modulation instability [9,10] and transverse instability [11] in self-focusing media. Nonlocality can support a range of novel soliton states including dipole [12][13][14] and multipole solitons [15,16], discrete solitons in optical lattices with nonlocal nonlinearity [17][18][19][20], and incoherent solitons in nonlocal media with both instantaneous and slow nonlinear response [21][22][23][24][25]. Nonlocal nonlinearity also promotes the stability of vector or multicomponent solitons, such as dipole [26] and multipole solitons [27,28], two-color solitons [29,30], dark solitons [31], and vortex [32] and necklace solitons [33].…”

Symmetric and asymmetric solitons in a nonlocal nonlinear coupler

“…with large integer N , when the (2N )th energy eigenvalue in the shallow HO potential (assuming that N = 0 corresponds to the ground state) in the V component is matched to the ground-state eigenvalue of the HO in the U component: (30) does not hold, the WKB expression (31) needs a correction around the edge points, x 2 = √ P u /P v ]. It follows from Eq.…”

“…The nonlocality arises when the nonlinear optical response involves mechanisms such as heat diffusion, as analyzed theoretically [23] and demonstrated experimentally [24,25], molecular reorientation in liquid crystals [26,27], atomic diffusion [28][29][30], etc. The fields of nanophotonics and plasmonics also give rise to effective nonlocalities, due to light-matter interactions occurring in these media on deeply subwavelength scales [31,32].…”

Stabilization of dipole solitons in nonlocal thermal media through an incoherent coupling

“…Nonlocal spatial solitons have drawn considerable attention in recent years [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. Several materials could support such solitons, from nematic liquid crystals [1-3] to lead glass [4][5][6][7][8].…”