Figure 1

Numerical results. (a) Input vortex and (d) linear lattice, $I_0=10I_d$. (b) Linear diffraction at $z=2$ and (c) nonlinear propagation at $z=10$ in a homogeneous medium. (e),(f) Discrete diffraction and discrete vortex soliton on the lattice, respectively, at $z=10$ and $V_0=16.09$.Reuse & Permissions

Figure 2

Dependence of the vortex state at the crystal output ($z=8.2\mathrm{mm}$, $I_0=10I_d$) on the strength of the nonlinearity, $V_0$ (or bias field). (a)–(c) Intensity distribution for $V_0=2.7$, $V_0=8.04$, and $V_0=16.09$, respectively. (d) Phase distribution corresponding to the stationary state (c). Dashed lines correspond to the position of the four intensity lobes. Side-bar: phase color map.Reuse & Permissions

Figure 3

Experimental setup. PBS: polarizing beam splitter; SBN: strontium barium niobate crystal.Reuse & Permissions

Figure 4

Experimental observation of an optical vortex propagating with (rows 1,2) and without (row 3) an optically induced lattice. (a-1) the input pattern of the lattice, where the ring indicates the input vortex location; (a-2) and (a-3) the vortex beam at crystal output and input without bias field; (b)–(d) the vortex beam at output for bias fields of 600, 1200, and $3000\mathrm{V}/\mathrm{cm}$, respectively. Row 2: three-dimensional plots of vortex beam intensity.Reuse & Permissions

Figure 5

Phase structure measurements. (a) Discrete vortex soliton for a lattice period of $20\mu \mathrm{m}$. (b)–(d) Interferograms of the vortex soliton with a weak broad coherent beam, whose relative phase is changed in steps of $\pi /2$.Reuse & Permissions