Nonlocal incoherent solitons

We investigate the propagation of partially coherent beams in spatially nonlocal nonlinear media with a logarithmic type of nonlinearity. We derive analytical formulas for the evolution of the beam parameters and conditions for the formation of nonlocal incoherent solitons.

Figure 1

Soliton width $\left(\rho \right)$ as a function of the degree of nonlocality (a) and coherence radius (b). Here $n_2=1.8$.

Figure 2

Potential $P\left(\rho \right)$ in a focusing logarithmic nonlinear medium $\left(n_2=1.8\right)$ for different degrees of nonlocality $\sigma$. The initial beam parameters are ${\theta }_0=1$ and ${\rho }_0=1$.

Figure 3

Illustration of nonstationary propagation of a partially coherent beam in a logarithmic nonlinear nonlocal medium. The nonlocality parameter varies as $\sigma =0$ (dotted line) and $\sigma =10$ (solid line).