Figure 6

Three-dimensional (a) and top-view (b) shapes of |U(x, y)| for a typical stable vortex soliton with \(m=1\), supported by the \({\mathscr{P}}{\mathscr{T}}\)-symmetric imaginary potential (3) with \({\gamma }_{0}=0.6\), \(\beta =0\), and \(\sigma =0\) in Eq. (9), the propagation constant being \(k=-\,3\). Panel (c) displays the phase structure of the vortex.