Dipole solitons in optically induced two-dimensional photonic lattices

Abstract

Dipole solitons in a two-dimensional optically induced photonic lattice are theoretically predicted and experimentally demonstrated for the first time to our knowledge. It is shown that such dipole solitons are stable and robust under appropriate conditions. Our experimental results are in good agreement with theoretical predictions.

Geometric stabilization of extendedS=2vortices in two-dimensional photonic lattices: Theoretical analysis, numerical computation, and experimental results

“…This is the natural outcome of the topological instability [42]. When a dc field is applied along the crystalline c-axis, the SBN crystal turns into a self-focusing medium [5,9,10,11,12,13]. Under a proper strength of the nonlinearity, the vortex beam evolves into a S = 2 vortex soliton.…”

“…Optically-induced photonic lattices in photorefractive crystals such as strontium barium niobate (SBN) have been used as an ideal platform for the observation of those predicted soliton structures. Indeed, the theoretical proposal [5] of such lattice solitons was followed quickly by their experimental realization in 2D induced lattices [9,10], subsequently leading to the observation of a host of novel solitons in this setting, including dipole [11], multipole [12], necklace [13], and rotary [14] solitons as well as discrete [15,16] and gap [17] vortices. In addition to lattice solitons, photonic lattices have enabled observations of other intriguing phenomena such as higher order Bloch modes [18], Zener tunneling [19], and localized modes in honeycomb [20], hexagonal [21] and quasi-crystalline [22] lattices, and Anderson localization [23] (see, e.g., the recent review [24] for additional examples).…”

Self-trapping of optical vortices in waveguide lattices with a self-defocusing nonlinearity

“…The numerical model is a nonlinear wave equation with a 2D square lattice potential under self-defocusing photorefractive nonlinearity [6,27]. Figure 2 shows the typical simulation results corresponding to experimental results of Fig.…”

Oscillations of two-dimensional solitons in harmonic and Bessel optical lattices

“…Properties of single solitons and soliton complexes supported by one-and twodimensional optical lattices are now well established [7][8][9][10][11][12][13]. Lately we addressed properties of solitons supported by radially symmetric Bessel lattices [14].…”

“…(1) possess soliton solutions [7][8][9][10][11][12][13][14]. Here we recall basic properties of fundamental solitons.…”