Polarized vector dark solitons in nonlocal Kerr-type self-defocusing media

We study the polarized vector dark-type solitons in nonlocal self-defocusing media with an arbitrary degree of nonlocality. The relations between the soliton parameters and the representation of the transverse velocity of vector dark solitons in the whole range of degree of nonlocality is analytically obtained. We also demonstrate the propagation properties of the polarized vector dark solitons numerically.

Figure 1

The intensity of the vector soliton with the parameters $D=1$ and . (a) GD-GD pair with $B_{+}=B_{-}=0.8$. (b) FD-FD pair with $B_{+}=B_{-}=1$.

Figure 2

The relation between the peak power and the component background amplitude ${\tau }_{+}$ (the case of ${\tau }_{-}$ is in a similar manner) of the polarized vector dark soliton in Fig. 1. (a) GD-GD pair with $B_{+}=B_{-}=0.8$. (b) FD-FD pair with $B_{+}=B_{-}=1$.

Figure 3

Width of the vector dark solitons versus the degree of nonlocality $\sigma$. Here, we set the soliton peak power $|{\tau }_{+}{|}^2+{\left|{\tau }_{-}\right|}^2=1$.

Figure 4

Transverse velocity of the vector dark solitons versus the degree of nonlocality $\sigma$. Here, we set $D=1$.

Figure 5

Dynamics of formation of the GD-GD pair (a, c, and e) and the soliton profile at the beginning and the end of the propagation distance (b, d, and f) in almost local media (a,b) with $\sigma =0.2$, weakly nonlocal media (c, d) with $\sigma =1$, and strongly nonlocal media (e,f) with $\sigma =4$. The point C in panel (f) represents the beam center of the output profile.